diff --git "a/data/dm_maths/full_data_2/10961_11255.jsonl" "b/data/dm_maths/full_data_2/10961_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10961_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 8\/239 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 40762476*i + 138464954137548 = 0. What is i?\nAnswer: -6793746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1839154009 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n**4 - 15*n**3 - 387*n**2 + 47430.\nAnswer: 12*n**3 - 45*n**2 - 774*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5*450\/15. Let r(z) = -z**3 + 11*z**2 + 13*z + 13. Calculate r(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p**3 - 57*p**2 + p**4 - 8*p - 3*p**3 + 12 + 3*p**4 + 41*p**2 = 0 for p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, y: 4, f: 1, b: 1, t: 4}. What is prob of picking 1 t and 1 u?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.177 - 0.151. Which is the nearest to v? (a) -3 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -4011.64184?\nAnswer: 4009.64184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = y - 16, 5*v + 6*y - 2*y = -55. Which is the smallest value? (a) v (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + -0.42. Let z = 3 + -3.5. Let o = -193.9 + 194. Which is the nearest to o? (a) d (b) z (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367585414.\nAnswer: 2, 7, 31, 43, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1227 + -728. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1 - (5 - 7 - -5). Let k be v - -2*24\/21. Which is the third smallest value? (a) k (b) -0.1 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*s + 5 - 3, 4*h - 5*s + 2 = 0. Let z(p) = -5*p**3 + 12*p**3 - 11*p**3 + 4 + 7*p**h. Let o(a) = -5*a**3 + 8*a**2 + 5. Give 5*o(f) - 6*z(f).\nAnswer: -f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9459*p + 37783. Calculate l(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.19962?\nAnswer: 0.09981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w = -16*w + 3906. Solve -w*h = -65*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 500*r. Let y(k) = -6*k**2. What is g(y(v))?\nAnswer: -3000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1864792 is divided by 4126.\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:38 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + (4 - (8 - -6))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6710627 less than or equal to 6710628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6658306.542 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543525 (base 6) in base 9?\nAnswer: -148538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/8 + 2*h**4 + 3*h**3\/2 - 243*h**2\/4 - 1917*h\/8 - 1053\/4.\nAnswer: (h - 6)*(h + 3)**3*(h + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.1 + 1.1. Let h be (-8)\/8 + (-7)\/5. Let n = h + 41\/15. Sort n, 3, j in ascending order.\nAnswer: j, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/48 + (-2)\/12?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12. Solve -g + d = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 23. Suppose -m*q - 34 - 26 = -l, 4*l = -5*q - 100. Let j = 23 + q. Solve p + 29 = -2*p + 4*k, j = 4*p + 3*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3195.999987102 - 3196. Round a to seven dps.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8766a (base 15) to base 16.\nAnswer: -68ffb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/((-20)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157703323.\nAnswer: 389, 405407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5 - 5463*l**4 - 16461*l**3 + 344291*l**2 + 366348*l - 688716 = 0?\nAnswer: -9, -2, 1, 7, 5466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5212572591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 20*s**2 - 67*s - 20. Let z be n(-16). Let a be 3\/(-3 + 9) - (-21)\/z. Sort -0.2, -2\/7, a, 1.\nAnswer: -2\/7, -0.2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m)*(-2*m - 6*m + 3*m)*(3*m**2 + m**2 - m**2)*(-8 - 2 + 0).\nAnswer: 150*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 + 57*i - 343. Does 16 divide l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.59095295935 + -14.\nAnswer: -14.59095295935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28664957.8 rounded to the nearest one thousand?\nAnswer: -28665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -k + 4, 4*f + 6246 = -6*k + 6270 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-80)\/(-616)*(-60)\/5 + 12.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/18 and -137\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/w**(-4\/3)*(w\/w**(-3\/4))\/w**(-2\/7) assuming w is positive.\nAnswer: w**(535\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-49 + 7056\/63)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 22. Let f(o) be the first derivative of o**2\/2 + 11*o + 1120. Calculate -3*c(h) + 5*f(h).\nAnswer: 2*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(7\/14). Let m(o) = o - 3. Let h(s) = s - 4. Let a(k) = -4*h(k) + 5*m(k). List the prime factors of a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 7*c - 10*c - 2*c. Let h(z) = -12*z**2. Determine h(j(v)).\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-90)\/(-12))\/(-5)*16\/18)\/((-208)\/(-5772))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let l = -45774 - -45770. Which is the closest to l? (a) -3 (b) i (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9 + 4*f - 11*f - 1675*f**2 + 1686*f**2. Let j(z) = 5*z**2 - 4*z + 4. Give -4*b(a) + 9*j(a).\nAnswer: a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 589467\nAnswer: -2\/196489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 20*b - 66 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 504.327nm?\nAnswer: 0.504327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*7.996.\nAnswer: 31.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22544*c**4 - 68946 wrt c.\nAnswer: 90176*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*o**2 + 25*o**2 + 888*o - 888*o + 2 + 17*o**2 - o**4 as r + c*o**2 + y*o + j*o**3 + b*o**4 and give c.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883359*l**3 + 37 - 37 + 1185554*l**3.\nAnswer: 2068913*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 68. Suppose g + b = 2*g. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 - -285. Which is the nearest to 0? (a) 14 (b) 3 (c) 7 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let j = 6.33 + -6.63. What is the nearest to 12 in j, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*2\/12*((-1410)\/188)\/((-6)\/(-16))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -161 (b) 1 (c) -7\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.8 + -14. Let p = 0.1 - q. What is the nearest to 3 in 0, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 + 51*r**2 + 124*r - 38. Determine o(4).\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 537 + 156 = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21728 divided by 1358.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 13 = 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 11. Let c be ((-9)\/(-12))\/(2\/h). Suppose -n - x = -33, x = c*n + 6*x - 105. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 + 318. Let o = z + -44. Suppose n - o = -n. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 9*u**2 - 10*u + 18. Let w be v(8). Suppose 2*l - 2*o - w*o - 8 = 0, -14 = -3*l + 4*o. Solve z - 1 = -l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 19*p**2 + 37*p - 330. Let v(t) = 9*t**2 + 17*t - 163. Determine -6*h(b) + 13*v(b).\nAnswer: 3*b**2 - b - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.756 - -46.756. What is the third biggest value in h, -0.3, -3\/23, -5, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 1905. Suppose 157 - 472 = f + o, -o = 2*f + z. Round f to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 769247.3 decades?\nAnswer: 76924.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s\/(s**(1\/5)\/s))\/s*((s\/(s*s\/s**5*s))\/s)\/s*s)\/(s**0\/s)**(5\/9) assuming s is positive.\nAnswer: s**(241\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*3*2)**2 + -2)*-1.\nAnswer: -2446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*s + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 91. Suppose -i*z = p + 25 - 9, -p = 2*z + 6. Suppose -4*j - 128 - 36 = -2*n, 0 = -p*n + 2*j + 322. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-5)\/2) + 6 + 0. Let w(k) = 2 + 0 - k - h + 5. What is w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*v**5\/3 - 5774*v**4\/3 - 9126*v**3 - 10034*v**2\/3 + 10108*v\/3 - 464 = 0. What is v?\nAnswer: -4, -1, 1\/5, 2\/7, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 53\/7 + (-76)\/133.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y**2 + 6*y - 3. List the prime factors of i(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1763577*x**2 - 8410*x + 4205. Let h(i) = -839*i**2 - 4*i + 2. Calculate -2*g(a) + 4205*h(a).\nAnswer: -841*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 356.591 - 357. Let a = c + 0.209. Sort -0.1, a, -5\/23.\nAnswer: -5\/23, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-50)\/(-20)*4\/(-2). Let r = q + 61. Solve r*k**2 - 147\/2*k**4 + 0 - 63\/2*k**3 - 6*k = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 - (1 - -2)). Solve 5*v = j*h - 25, -5*v - 5*h - 29 + 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431 - 15?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/60 - 4*r**2. Let w(z) be the second derivative of 0*z**2 + 0 - z + 0*z**3 + 1\/3*z**4. What is q(w(h))?\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 25*c**3 + 21 - 30.\nAnswer: -25*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 508264379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -94*j - 11. Let b(t) = -2*t + 3. Give -a(w) - 4*b(w).\nAnswer: 102*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58175298*m**2 + 5*m**3 - 20*m**3 + 58175298*m**2.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -24*l**3 - 22*l**2 + 22*l - 22. Let s(d) = -d**3 - d**2 + d - 1. What is -2*f(w) + 44*s(w)?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*a - 17, 95 = 5*o + a + 18. Suppose -2*m + o = 3*z, -z + 3*m - 26 = -6*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65952.6 nanograms?\nAnswer: 65.9526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 18)*-1 + 3. Let j be c\/5 + (0 - -249996). What is j rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 + -162. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2697417 is divided by 747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1213*m**2 - 2731*m**2 + 2032*m**2)*(1 - 970*m + 972*m - 3) in the form b*m**2 + f*m + p + w*m**3 and give b.\nAnswer: 3824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g**2 + g)*(-18 + 4 + 8)*(2 + 0 + 0).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 159063, 159712, 160361, 161010, 161659?\n\"Answer: 649*q + 158414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 246?\nAnswer: 7\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -2. Calculate the common denominator of 79\/20 and ((-267)\/(-42))\/(y\/7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30620, -60965, -91310?\nAnswer: -121655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -13. Solve 0 = -5*c + s - 5 - 8, -2*c - t*s = -11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 85*z**3 - 5*z**2 - 6*z + 4. Let h(y) = -84*y**3 + 4*y**2 + 5*y - 3. Let d(k) = 4*h(k) + 3*s(k). List the prime factors of d(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Let j(z) = 2*z**2 - 37*z. Calculate j(w(l)).\nAnswer: 2*l**4 - 37*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 4*h - 2. Suppose -5*v - 12 = o - 2*o, 4*o - 144 = -4*v. What is the smallest common multiple of y(-6) and o?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -1.4628, -3, 0.2?\nAnswer: -1.4628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:30 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -451461.607 rounded to the nearest 100?\nAnswer: -451500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/7, 203, 50345, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(117\/(-30)))\/(2*10\/(-1200)*-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 668*r - 3336*r + 667*r + 665*r + 662*r + 664*r. Let b(i) be the second derivative of -7*i**4\/12 + i. Determine b(m(y)).\nAnswer: -700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 117*o + 9. Let s be h(1). What is the units digit of (-72)\/s + ((-5566)\/(-14) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-88))\/(4 + 92\/(-24))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 92*z**2 - 2407*z + 561. Give p(26).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 5:11 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -87. Let l = -26 - k. What is the remainder when ((-4)\/l)\/(2\/(-114)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from jljjjjjlljljljll?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -4)\/(-2 + 3). Let k be ((-8)\/10)\/(384\/(-190) + 2). Suppose k = 7*a + 3. Put a, -10, c in increasing order.\nAnswer: -10, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3931 and -65.\nAnswer: 255515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31005 and 2385?\nAnswer: 31005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/187 and -52\/3859.\nAnswer: 42449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, -6, 0, 1, -4, -3 in decreasing order.\nAnswer: 2, 1, 0, -3, -4, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 42 = -3*b - 21, 5*b - 51*k = 28*k - 711 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2181, -4359, -6535, -8709, -10881?\n\"Answer: v**2 - 2181*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 - -112113?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2095581 (base 12) to base 9\nAnswer: 12540867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5*b**2 + 3\/5 + 3\/5*b**3 + 9\/5*b = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622 = -5*h + 42. Let j = -67 - h. What is the lowest common multiple of 77 and j?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4759 divided by -66406?\nAnswer: 4759\/66406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9167665 centimeters?\nAnswer: 0.000009167665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0463495184 rounded to 5 dps?\nAnswer: 0.04635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321, -3, -3\/2, 5, -1\/2 in descending order.\nAnswer: 321, 5, -1\/2, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -279870 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1201 + 2*t - 1106 + 2233 wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c - 16 = 0. Let v(o) = -o - 7 + 2 + c. Let y(z) = -6*z - 8. Give 8*v(n) - y(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6082861185 to 5 decimal places.\nAnswer: 0.60829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2 - 46. Solve 2*v = -3*a - 23, -3*a - c = -4*v + 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - 786772 + 3*a**2 + 781545.\nAnswer: -3*a**2 - 5227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -3 + 4*v + 25\/21*v**7 + 0*v**3 + 0*v**5 + 0*v**2 - 13\/12*v**4 + 0*v**6. What is the third derivative of l(h) wrt h?\nAnswer: 3000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 153 = 5*v + 3, -140 = -5*v + 3*u. Solve v = -9*z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, o: 5, l: 4}. Give prob of picking 1 o and 1 l.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -67225 divided by 13445?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415468 minus 3146861?\nAnswer: -4562329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2. Let r(m) = -37*m**2 + 4*m - 40019. Calculate r(d(l)).\nAnswer: -592*l**4 - 16*l**2 - 40019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20967 (b) 145 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289082859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7*l - 2*l - 156 = 0, 5*l + 108 = p. What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:58 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 10*l = 4. Suppose -w - 4*n = 2*w - 190, -l*w = 5*n - 254. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -2*s**6\/135 + 7*s**5\/15 - 20*s**4\/27 + s + 98. Suppose f(a) = 0. Calculate a.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372514142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*y = 8, 4*b - y = -0*b + 12. Suppose h + b*h - 10 = 0. Suppose -h*k = 2*k. Solve 5*z - 3*v - 35 = 0, k*z - 3*v + 1 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 147?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316 and 496.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-6 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 16595*g**2 - 33171*g + 248895 = 0. What is g?\nAnswer: -16593, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Let v = h + 8. Calculate the highest common factor of v and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 15183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.92 + 16. Let c = i - 0.28. What is the nearest to 0 in c, -5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60519.\nAnswer: 3, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -128, -5, 19388 in descending order.\nAnswer: 19388, -5, -8, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 104835847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.22 and -0.8326205?\nAnswer: 1.0526205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 21 = 6*q, 48*o + 11 + 4 = 43*o for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2251*n - 5. Let p be a(2). Suppose -5*z = -p + 572. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4578, 9156, 13734?\nAnswer: 18312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3524 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ccjdfjjvwdjjjdf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (189\/(-147))\/((-2)\/14). Calculate the highest common divisor of 1368 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2709 and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1655 and -0.0408?\nAnswer: 67.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/277 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 + 61*h + 59. Give o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 976, 2271, 4082?\nAnswer: 6409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1583, -12, 3, -2, 6, -5 in increasing order.\nAnswer: -12, -5, -2, 3, 6, 1583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 6*p**2. Let c be o(5). Suppose 25 - 467 = -2*x. Suppose 0 = -4*q + c - x. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 smaller than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -0.06, -12\/5, 4\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7948656 and 16235?\nAnswer: 39743280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42987291 - -31528.\nAnswer: 43018819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026707393 to 6 decimal places.\nAnswer: 0.002671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 0.35. Let j = 0.2 - -0.02. Let g = j - 0.22. Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 - 121.5. What is the nearest to n in 3, -4\/7, -0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 5*r - 1, 2*r = -4*p - 34. Let q be p + 2\/(-6)*0. Let a = -4 - q. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 3*h + 0*h)*(h + h - 3*h)*(2 - 3 - 1 + (0 + 3 - 2)*(0 + 0 - 1) + 0 + 5 - 3).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/5 + 396*j**3\/5 + 1098*j**2 + 5340*j + 8775.\nAnswer: 3*(j + 5)**3*(j + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18299.9 * -6.31.\nAnswer: -115472.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 6*sqrt(57)\/sqrt(3) - (sqrt(171) + 0)**2)*5 + (1 + -2*sqrt(2299) + 5)**2.\nAnswer: -229*sqrt(19) + 8377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1726329*x**3 - 1726324*x**3 + 3452647*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -1\/2, 0.1, -38\/9, 4, 0.19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 146.2 and -5.9.\nAnswer: -862.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404\/10 + (42\/(-30) - -1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7047 divided by -243?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/63)\/(-1))\/(21\/((-903)\/172)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -566 (base 12) in base 5?\nAnswer: -11143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 287*k + 4. Let m(p) = -294172*p - 4102. Determine 2051*l(h) + 2*m(h).\nAnswer: 293*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 17*t - 2 = 0. Suppose -5*y + 20 = 4*j + j, 2*y = 2*j. Let u be j\/((-20)\/(-6)) - 1. Is t < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 smaller than -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 + 141. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 - -3) - (45 + -45 - 22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2040 + 2263. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246574355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 900 + -484. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - r - 2 - 2)*(26 + 8 - 6)*(-r - 2*r + 4*r).\nAnswer: -28*r**2 + 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5))\/n)\/(n\/n**(2\/7))*(n\/n**0*n*n*n)**(-27) assuming n is positive.\nAnswer: n**(-3791\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*i**2 + 8*i**4 + 0*i**6 - 6*i**6 + 3*i**6 + 98*i**2 wrt i?\nAnswer: -360*i**3 + 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14034 + -8619. What is the greatest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 126*m**2 + 3 + 3*m - 44*m**2 - 40*m**2 - 44*m**2. Let w(c) = -6*c**2 + 8 + 2*c + 3*c + 3*c. Calculate -8*n(g) + 3*w(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.95 - -8. Let f = t - -1.95. Let p = 0.3 - 0.4. Put p, -2\/15, f in decreasing order.\nAnswer: f, p, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 23*b. Solve 5*h + 3*a + 2*a = 10, b = h + 4*a - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3469\/27 - 402032\/621. Let t = -519 - j. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 times 18.9707\nAnswer: -2466.191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 9. Let p(u) be the third derivative of -u**5\/60 + 3*u**4\/8 - u**3\/3 - 15*u**2. What is the units digit of p(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001011001 (base 2) to base 15\nAnswer: -2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32129 - 6?\nAnswer: -32132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4097 + -4089. Let c(t) = -2*t**2 + 20. Let o(x) = -x**2 + 13. Determine y*o(r) - 5*c(r).\nAnswer: 2*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.472449 less than -7.13?\nAnswer: -36.602449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) 3 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 17 = 5*l, -2*l - 4*t - 3 + 1 = 0. Calculate the remainder when ((-4)\/(-8))\/(l\/900*-2) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from sasassmaaammaraaaa.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*0.38.\nAnswer: -0.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3*-2)\/(58\/58))\/(6*(-4)\/176)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-756)\/(-33))\/7 - 10\/3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16654 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**2\/2 + 489. Let y(k) = -8*k + 0*k + 2*k - 22 + 4*k. Give y(z(x)).\nAnswer: 2*x - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 934 - 909. Suppose r + 0*i - 20 = -4*i, 20 = -4*r + 4*i. Solve m - n = 5*o - 4*m, -m = r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75 + -256?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -226.\nAnswer: -19\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59\/4 of a gram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001122 + 1?\nAnswer: 1001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 2*h**2 - 2*h**2)*(-1 + 7 - 1).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-1)\/(-4 + 3). What is the remainder when 68 is divided by (69\/u)\/(7\/21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b4 - -4046?\nAnswer: 3b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:35 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1028 = -r + 181. Suppose 7*a = 4*a + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + j + 4. Let n = -7 + 7. Let v be r(n). Solve 3*z - 2*z = v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218877 is divided by 149.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100\/123 - 6\/41. Let y be (-46)\/(-8) - (-1)\/4. Suppose 0 = -m - m - y. Which is the closest to w? (a) -2 (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*m - 9*m + 1732, -4*m - 3*u = -1387. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = 4. Suppose -2*y + 3*l = 2*y - 8, -g*y + 5*l = -4. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/52709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 1. Let n be c(1). Let l be n*4 + (-23 - -14). Let x = l + 22. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2. Determine y(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14507673 less than 0.815?\nAnswer: 14507673.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = q - 17. What is the second derivative of -7*t - 14*t**q + 56*t**4 - 14*t wrt t?\nAnswer: 504*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, -11\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(272))**2 + 0 - (sqrt(272) + -2 + 4 + -2 + sqrt(272) + 1)**2)*-2 + 3.\nAnswer: -2715 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*j + 7298 - 5207 = -16917 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaatpottot. Give prob of sequence aya.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8188.7 - 7738. Let x = 491 - o. Round x to zero decimal places.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve w**3 - 1023*w**2 + 75380*w - 758976 = 0 for w.\nAnswer: 12, 67, 944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4 - 10. Let g = -441 + 467. What is the lowest common multiple of g and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55\/45 + (21\/27 - 1). Let b(x) be the third derivative of 13*x**5\/30 - x**4\/24 - x**3\/6 + x**2. List the prime factors of b(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w = 238 - 66. What is the smallest common multiple of 87 and 54\/2 + -3*(w + -5)?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*r**3 + 63*r**3 + 9*r - 4*r)*(-55*r**2 - 49*r**2 + 76*r**2).\nAnswer: -168*r**5 - 140*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -24. Let t = 12.7 + u. Let d = 2.70000039 - t. What is d rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018338664 rounded to 5 dps?\nAnswer: 0.01834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 2*j**2 - j + 54 - 3*j**4 + 0*j - 4*j - 52 + 12*j**3 to f + k*j + l*j**4 + i*j**2 + r*j**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 0. Let p(l) = 8*l**3 - 17*l**2 - 14*l + 11. Let a(q) = 17*q - 47. Let h be a(3). Let v(o) = -3*o**3 + 6*o**2 + 5*o - 4. Give b*v(w) + h*p(w).\nAnswer: -w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*g - 0 - 2, 13 = 444*d + 4*g + 905 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**3 + 46*q**3 + 16*q**3 - 91*q + 35*q wrt q.\nAnswer: 318*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/20 - u**4\/4 + 20*u**2. Suppose r + 3*r - 20 = 0. Suppose r*f - 6 = -1. Let t(d) = d**2 - d. What is f*w(j) - 5*t(j)?\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3550 and 16?\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - z**4 + 1 + 4*z**3 + 2*z**3 - 2*z - 5*z**3 to the form f*z + n + r*z**2 + p*z**3 + u*z**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730937.\nAnswer: 11, 248267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1559*c. Let x(z) = -2*z**2 - 3*z + 1. Let g(w) = 3*w**2 + 3*w - 1. Let y(s) = -2*g(s) - 2*x(s). Give y(h(b)).\nAnswer: -4860962*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 6*x**2 + 3*x + 2. Let w be z(6). Is w > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 28. Suppose 2293 = j*h + 3*d, 0 = -h + 2*d - 3*d + 1144. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -7. Let g = j + -7. Solve -3*z - z + 20 = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/6)\/(3\/540000). Round j to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1152*t**2 - 1667*t - 4990. List the prime factors of a(-3).\nAnswer: 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -98, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 35 - 107)*(-4*q + 3*q - 3*q)*(2 - 2 - 2).\nAnswer: -944*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -51, -104, -171, -252?\n\"Answer: -7*w**2 - 18*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.6 + -31. Let m = -3276291.21000156 + 3276297.81. Let z = m - h. Round z to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1888 + 0.0488. Is z smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*m + 308*m = -9979 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -5*f**6\/2 + 12*f**2 + 6*f - 2. Differentiate z(u) with respect to u.\nAnswer: -300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(-2 + 4*(sqrt(288) - (-1*sqrt(288) + sqrt(288))))*-4 + 4)**2.\nAnswer: -23040*sqrt(2) + 663952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1560600 and 9975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7769993.\nAnswer: 7, 11, 19, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -8 + 1 - 24) + 9 - 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 0.4, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1343 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/3)*a)\/a)**47\/(a*a*((a\/(a*a**(-5)*a))\/a)\/a*a*a*a**(2\/39)) assuming a is positive.\nAnswer: a**(736\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 34*x + 69\/2.\nAnswer: -(x - 69)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bac (base 13) in base 5?\nAnswer: -321124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.9 - -18. Let u = 997\/9 - 111. What is the second smallest value in u, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -902\/5 or -2\/7?\nAnswer: -902\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = w - 0*t - 6, -15*w - 10 = -5*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 598.689256 - 6.597456. Let m = d - 592. Round m to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/11 (b) 3 (c) -1\/2 (d) 22 (e) 97.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 126*j**2 + 1467*j - 18. Calculate d(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5 - -2) + 3)*-1. Suppose 5*u + 20 = h, r = 3*h - 4*u - 15 - 1. Let y be 1 + (-1 - -1 - 1). Is y at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44e9b8 - -1?\nAnswer: 44e9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2965 divided by -200.\nAnswer: 593\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, 7, 11, 2, -3\/8, 16\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 10:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 609017.864 to the nearest 1000.\nAnswer: 609000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z*z\/(z**(2\/7)*z))\/z)))**(-2\/35))**(-2\/33) assuming z is positive.\nAnswer: z**(-8\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/2*174\/261?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 32 = 0. Is 12 a factor of (q\/20)\/(4\/1920)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520 and 468.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:42 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262*y + 1056 = -2465*y + 1235*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 - 16 = 0. Suppose 3*b = 3 + l. Let v = b + 10. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/5 + 8956*h**2\/5 - 595387*h\/5 + 117286 = 0. What is h?\nAnswer: -9022, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 4*v**2 + 9. Let a be l(-4). Let h(m) = -m**3 + 8*m**2 + 11*m - 16. What are the prime factors of h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 5*t**3 - 11*t**3 + 5*t**3 + 5*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119315.10100057661 + -0.10109057661. Let b = -119308 + a. Let l = 7 - b. Round l to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3693, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146609 + 58409. Round m to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -30.5. Let p = -28.7 + 28. Let l = -0.5 - p. Which is the second smallest value? (a) v (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = k, 2*s + 5*k = -19 - 7. Sort 0, s, -5 in increasing order.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 + -4 + -1 - 2) + 107 + -105.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from wwwxxww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 10*l**2 + 2. Let v be z(10). Solve v*c = 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47593 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -0.3, -189, 145 in ascending order.\nAnswer: -189, -0.3, 43, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/2361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*r + 2*h + 40 + 41 = 694*r, 5*r + 134 = -3*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 q when three letters picked without replacement from qiscm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*s**4 + 4*s**3 + 250*s**2 wrt s?\nAnswer: -1344*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -3\/23 (c) -2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k + 4. Let t(o) = o - 6. Let w be t(k). Let r = w - 1. Which is the closest to r? (a) -0.4 (b) 3\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 2863\nAnswer: 3149.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)\/t**(-2\/9)*(t*t\/(((t*t*t\/t**4)\/t)\/t)*t*t)\/(t*t*(t*(t**1*t)\/t)\/t) assuming t is positive.\nAnswer: t**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 3*r**4 - 2 + 2*r**2 + 0*r**2 as h*r + w + a*r**3 + p*r**4 + o*r**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 + 6*m + 1. Let z(w) = -w**3 - 3*w**2 - 5*w - 2. What is 2*k(j) + 3*z(j)?\nAnswer: -j**3 - j**2 - 3*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j + 1 - j**3 + 6*j + j**2 - 5*j. Let z be x(-3). Let v = 11 - 6. Calculate the greatest common factor of v and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -x + 3*b, 120*x - 117*x + 9 = -2*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515071?\nAnswer: 19, 27109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -378\/13 + 3559\/130. Find the common denominator of 89\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*3\/6*-2. Let y = -11 - -16. Let n = f + y. Sort n, 2, 0.\nAnswer: n, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.983 - -20. Let q = x + -0.117. Which is the second smallest value? (a) q (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 559\/10 + -857\/10. Suppose -q - 4*z + 17 = 54, q + 5*z = -39. Do q and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f + 21*f - 98*f - 66*f to j*f + m and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 168176.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f - 5*f - 10*f**3 + 4*f**3 wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -13*x + 77, -o + 2*x - 1712232 + 1712243 = 3*x + 2*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*f - 50 = 0, -83 = -5*k - 4*f - 449. Let u be (18278\/(-190) - 15\/50) + 28. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4950 times -1.61\nAnswer: -7969.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/318, -0.4, -0.2?\nAnswer: -1\/318","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8 + (37 - 23) - (-6 + 2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 2553 + 1636 - 241 = 0. Solve 76*x - h = 90*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + x**2 + 20*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v + 87. Let c be n(7). Suppose -5*y - 229 = 3*b + 141, -c*b + 198 = -3*y. Are -1 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 489 and -58.\nAnswer: -28362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*1 - (sqrt(55) + 2*sqrt(220) + sqrt(220) + sqrt(220)))\/(sqrt(1100) + 5*(sqrt(1100) - -2*sqrt(1100))).\nAnswer: -3*sqrt(5)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**4 + z**3 + z**2 + z + 1. Let o(t) = 45*t**4 + 6*t**3 + 15*t**2 + 6*t + 6. Let r(g) = 6*f(g) - o(g). Find the third derivative of r(l) wrt l.\nAnswer: -936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32840 and 32840?\nAnswer: 32840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**7\/147 + 4*v**6\/105 - 2*v**5\/35 - v**4\/21 + 5*v**3\/21 - 2*v**2\/7 - 9*v. Find d such that g(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1290206.\nAnswer: 3\/1290206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - 3) + -1 + (0 - -21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 + -0.81. What is the third smallest value in -0.07, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 15*a**2 + 17\/24*a**4 + 0*a**5 + 0 + 0*a + 1\/168*a**8 + 0*a**6 + 0*a**7 + 0*a**3. Find the second derivative of j(q) wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 260609085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*t - 5*w, -3*t + 68 = 5*w + 49 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*z - 833*z = 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-53 + 0 + 1)*308\/(-176)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 83 + 1318*p**4 + 74*p - p**3 - 1317*p**4 + 85 to y*p**2 + w*p**3 + u*p**4 + f*p + k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1892, -9655, -17418, -25181, -32944?\nAnswer: -40707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 - 6*p. Suppose 5 = 5*x - 25. Let z be a(x). Let m = -4146.9 + 4147. What is the third biggest value in z, -5, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 63.4. Let g = 8 - o. Suppose 5*x = 2*q + 11, 0 = -3*x - 3*q + 29 - 14. Which is the nearest to -0.3? (a) g (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9085 and -5.\nAnswer: 45425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*b = -5*d + 10, 5*b = -4*d - 35. Let r be d*(-2)\/10 + 1. Let z be (r + -4)*(30\/4)\/(-5). Put -4, 4, 11, z in increasing order.\nAnswer: -4, z, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**3 + v**2 - v - 2. Let f(l) = l**3 - l**2 + l. Let h = -19 + 20. Let n(x) = h*o(x) + f(x). Find the first derivative of n(k) wrt k.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 - 13 = 4*y. Let x(z) = z**3 + 9*z**2 + 3*z - 42. Let b be x(-9). Let k = b - y. Solve -k = c + 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6191 - -6219. What is the greatest common factor of f and 10612?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 33\/10, -20, 2, -1\/3?\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 17*p. Let z(o) = -6*o**3 + 51*o. Let a(r) = 8*v(r) - 3*z(r). Find the second derivative of a(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b7b9c (base 15) to base 3\nAnswer: -100200002220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 20*p + 12. Let c be g(-5). Let f = -64 + 13. Let y = f - c. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/(0 + 2\/8) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, s: 2, b: 1, c: 3, q: 3, e: 1}. What is prob of sequence jcs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*u = -168*u + 110. Suppose 28 = -5*p + 323. Let q = p + -38. What is the remainder when q is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-332 - 11*o + 332)*(0 + 1 + 0)*(7*o**2 + 15*o**2 + 17*o**2) to the form j + f*o**3 + z*o + w*o**2 and give f.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 3. Let q be l(-1). Calculate the smallest common multiple of 10 and 3\/q*(-792)\/(-54).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 59049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605978200 rounded to the nearest one million?\nAnswer: 606000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-6))\/(2\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -4 + 3 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*q + 2*x + 24 = -1361*q, -3*q + 5*x + 9 = -83 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 1681408.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*v**4*x - v**2*x**2 + v**2 + 268*x**2 wrt v.\nAnswer: -412*v**3*x - 2*v*x**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299593031*t**4 - 962195273*t**2?\nAnswer: 7190232744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - s - 2. Let r(o) = 13*o**2 + 7*o + 14. Let f(b) = -2*r(b) - 14*v(b). Let a(h) = -15*h + 4. Give f(a(n)).\nAnswer: 450*n**2 - 240*n + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m**3 - 461 - 500 + 961 - 6176*m**2 + 6176*m**2.\nAnswer: 30*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 6*x - 390. Let k be s(-23). Is k greater than or equal to 7\/227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d**3 + 5*d**2 - 186*d - 24. Let l(b) = -5*b**3 - 2*b**2 + 62*b + 9. What is -8*l(z) - 3*t(z)?\nAnswer: z**3 + z**2 + 62*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214.78 decades in months?\nAnswer: 145773.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21440 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27642, 55163, 82686, 110211, 137738, 165267?\n\"Answer: u**2 + 27518*u + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 4*o - 1. Let w(a) = -5*a**2 - 11*a - 3. Let u be 2\/(-12) + 201\/18. Calculate u*t(c) - 4*w(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l, 0 = o - 2*o + 4*l + 14. Let k be (o*(-2)\/8)\/(3\/(-30)). Solve 0 = -z + 2 - k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2 - (-26)\/(-14). Let w = -7\/59 - -265\/1239. What is the closest to -0.3 in b, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 24*f**3 + f**2 + f - 1. Let v(k) = 5*k - 3. Let x be v(-2). Let l(i) = -i**2 - 12*i + 14. Let z be l(x). Let p be y(z). Solve 2*n = 7*n + p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -193, 145, 791, 1847, 3415, 5597, 8495?\nAnswer: 12211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-8)\/(-6)) - (-969)\/(-204)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27580, 0, 5919.\nAnswer: -27580, 0, 5919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**1*u)\/u*u*u*u)**8)**(-1\/39)*((u*(u\/u**(4\/3))\/u)\/u**(1\/9))\/(u**(3\/5)\/((u*u**(-7)*u)\/u)) assuming u is positive.\nAnswer: u**(-4481\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0 + 3, -2*r + 372 = 5*j. Let w = j - 66. Solve -w = 2*y - 0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 - 4*t**2 - 2*t - 2. Let m(c) = 5*c**3 + 5*c**2 + 3*c + 3. What is -2*m(u) - 3*y(u)?\nAnswer: 5*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14*s**2 - 6*s - 9. Let g(p) = -14*p**2 + 8*p + 12. Let f(i) = 3*g(i) + 4*j(i). Let o(d) = -10*d + 2. What is o(f(c))?\nAnswer: -140*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58936 divided by 424.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6*(-14)\/80 - 3 and 117\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 less than 1?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 942950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4561697 (base 11) in base 14?\nAnswer: -10ba9da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -487, -706, -905, -1084, -1243?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 + -3 - (-20 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 791458863 to the power of 1\/2, to the nearest integer?\nAnswer: 28133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -3*t**5\/20 + 45*t**4\/8 + 51*t**3 + 159*t**2 + 216*t - 1752. Factor d(o).\nAnswer: -3*(o - 36)*(o + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31937 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2444 = 5*b, -10*b + 492 = -9*b + j. Let t = b + -307. List the prime factors of t.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(54)\/(sqrt(18)\/sqrt(2)))*5)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -33 (c) -0.06 (d) -1 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 202 + -107?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/d*d)\/(d\/(d**(-2)*d)*d*d)*(d*(d\/((d*d**(-2\/9)*d)\/d)*d)\/d)**(4\/3) assuming d is positive.\nAnswer: d**(44\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -37\/2206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3881, 7772, 11657, 15530, 19385, 23216?\nAnswer: 27017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r - 43. Let a be k(14). Does 11 divide (a\/2)\/(13\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*d + 3*d - 22, -2*g - 20 = -2*d. Let p be 1*2*21\/g + 51. What is the greatest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -0.4 (b) 2\/9 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 6, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.09902\nAnswer: -2.90098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1531.5964 - 1532. What is r rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*l - 19 = c + 402*l, c - 5*l = -25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4703698 to the power of 1\/2, to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8*k - 8. Suppose 0 = 2*f - 5*m - 14, k*f - 4*m - 52 = -2*f. Suppose 0 = c - 0 - f. Solve 0 = 4*d + 5*n + 25, 2*n = 4*d - n + c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*r - 23, 3*f = 2*f + 3. Suppose c = r - 3. Solve 0 = -b - c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28590 - 28574. Solve 0 = 5*y, 5*b - m = y - 26 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5532, -2\/9, 4, -4, 3\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 383*u + 3223 - 542 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 - 9*q**2 + 13*q**3 + 5*q**4 + 14*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7077*n - 296 - 91 + 5*n**2 - 61 - 7137*n wrt n.\nAnswer: 10*n - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/28)\/(5\/(-100)). Is k less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/45 + (-8)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1618677.15\nAnswer: -161867.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4507, -6418, -8341, -10282, -12247, -14242, -16273?\n\"Answer: -z**3 - 1904*z - 2602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3\/3 + 9*u**2\/2 - 8*u - 2. Let o = 149 - 110. Suppose 4*l = -5*f - o, -5*f + 9 = -3*l - 2*f. Determine c(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 127 = 3*f, f + 12 = 4*f. Let j be 2 + 0\/1 - k. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - 318\/(-30). Suppose 5*z - i - 12 = 0, -35 = -5*z - 3*i - h. Suppose -z*p = p. Solve p = -3*m - 0*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -36. Suppose x - 45 = -h. Calculate the remainder when x is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 9*x + 27. What is l(-9)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.168 + 1.07. What is q rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14417369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r + 73*r = 209934. What is the remainder when r is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -931488*m**3 - 2277703*m**2 wrt m.\nAnswer: -5588928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 5. Let l(j) = 874571*j + 36. Let u be l(k). Let m = u + -5318601. What is m rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -169847, -339686, -509525, -679364, -849203, -1019042?\n\"Answer: -169839*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2008.2 + 2006. Which is the nearest to 1? (a) 8 (b) x (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 - 222*y**2 + 5568*y + 33640 = 0. What is y?\nAnswer: -5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = -71*x + 2001 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1133.1 + 1133. Let m = -1.98 - 0.02. What is the nearest to s in 4, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**6\/120 - y**5\/12 - y**4\/24 + y**3\/3 + y**2 + 6*y. Let h(u) be the first derivative of q(u). Determine h(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 61, 66, 71, 76, 81?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(-2\/29)\/p)\/p*(p\/((p**(-1\/14)\/p*p)\/p))\/p)**(-43))**(2\/11))**(-2\/79) assuming p is positive.\nAnswer: p**(86\/176407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 1 + (3 - -7) + (-6 - 14).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -365 or -1827\/5?\nAnswer: -1827\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**5 - 4*l**4 - 4*l**2 + 13*l + 4. Let c(s) = s**5 - s**4 - s**2 + s + 1. Let o(k) = -a(k) + 4*c(k). What is the second derivative of o(m) wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/813 and -74\/645.\nAnswer: 174795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 8 = 18*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -3.95. Let j = k - 0. Let s = -5 - -2. What is the third smallest value in j, s, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9057)*2\/4. Let g = 10249185324123\/15095 + -678978813. Let n = s + g. Calculate the common denominator of n and 2\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**2 - 36*r**5 + 34*r**5 - 78 + 601*r**3 + 415*r**3 wrt r.\nAnswer: -120*r**2 + 6096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 70154505 and 1.1?\nAnswer: 70154503.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.7528 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -21*b**3 - 9*b - 19. Let x(z) = 5*z**3 + 2*z + 5. Determine 2*m(o) + 9*x(o).\nAnswer: 3*o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 254 + 36?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.16.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + l. Let f(c) = -9*c**3 - 6*c**2 + 6*c + 1. What is f(h) - 6*w(h)?\nAnswer: -9*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times -185?\nAnswer: -4995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - -0.03. Let r = -0.0004 - -4.7804. Let o = j + r. Which is the closest to o? (a) 5 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccococcafoaccccczc. Give prob of sequence zoco.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/12 in -0.3, -0.026, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*p - 2*p + 3 = 0, -3*t - 33 = 5*p. Let l(n) = -7*n - 19. Let k be l(t). Solve -2 = -5*g + k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234\/(-343)*(-378)\/99?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/a*a**3*a**1*a*a*a**(-1\/6)*a*a*(a\/((a\/((a*a**0*a)\/a*a))\/a))**(-17)*(a*(a*a*a*a**(-4)*a)\/a)\/(a\/a**(-5)) assuming a is positive.\nAnswer: a**(-319\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720615 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 15*i**2 + 13*i - 4. Give q(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 42, 81, 140, 225?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*y - 0, -2*y + 70 = 2*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4 + 2520*y**3 + 264905*y**2 - 13585230*y + 49939880 = 0.\nAnswer: -271, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63657150 to the nearest integer?\nAnswer: 7979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 3:31 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*z + 6 = 26, h = -2*z - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**3\/6 - 4*j. Calculate o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5358\/(-760))\/(45\/75) - -12. Determine j, given that -f*j**2 - 1\/2*j + 2 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*s**2\/7 - 494*s.\nAnswer: s*(27*s - 3458)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2648, 0.2, 33, -5 in increasing order.\nAnswer: -2648, -5, 0.2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 + 364 + 2 + 25.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(80) + 1 - sqrt(80))**2 - sqrt(5)) + 0) + (-4 + 0 + sqrt(320) + sqrt(320) + 2)**2.\nAnswer: -63*sqrt(5) + 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in -0.04, -167, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83.3 + -89. Let p = 6 + h. Let r = p - 0.1. Which is the nearest to 0.1? (a) r (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8*-1)\/((-15)\/((-120)\/16)). Put s, -1\/2, -2, 4 in descending order.\nAnswer: 4, -1\/2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(2 - 2 + 2)*(-3*t**2 + 2*t**2 + 3*t**2).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001734 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**3 - 4*i**2 - 6. Suppose 5*w + 0*w = 5. Let k(o) = -o**3 + o**2 + 1. What is w*n(x) + 6*k(x)?\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 130.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/(-259)*21\/12)\/((-135)\/60).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197 by 18.\nAnswer: -197\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + n. Let b(g) = -g. Give -3*b(c) - 3*m(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, -218, -945, -2354, -4673, -8130?\nAnswer: -12953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f + 55 = 0. Let u(y) = 3*y + 2. Let z be u(-8). Let d be (z\/(-3))\/((-8)\/(-12)). What is the highest common factor of f and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Let g = r - 4. Put -5, 1, g in decreasing order.\nAnswer: g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - 32*r + 2500 = 0. Is r at most as big as -628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234855430.\nAnswer: 2, 5, 97, 242119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -90 + 3387c?\nAnswer: 337bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-25) + (-135)\/(-25). Suppose 4*x + 1657 = 6*x + 5*a, 0 = -t*x + 3*a + 4158. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/396 (c) 362 (d) 3\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from uuhvw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34978169 is divided by 393?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95093357.\nAnswer: 7417, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1446\/5? (a) -69 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 3. Suppose -g - 69 = -4*w, 2*w = 3*g + b + 17. What is the highest common factor of 180 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/7, -4, -0.44, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 163489?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(18\/(-4) - -5). Let t(f) be the second derivative of -1\/2*f**2 + 0*f**3 + 1\/2*f**4 - 13*f + 0. What is t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32 + 7)\/(-25))\/((-34)\/221).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/((-6)\/10). Let o(p) = -2*p + 21. Let f be o(11). Let d be (-4)\/18 + (-5)\/(-18)*f. Which is the nearest to 0? (a) y (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-540)\/30 + 1*3 + 0. Let k be (-806)\/10 - 9\/g. Let i = -73 - k. What is the remainder when 22 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -99, -125, -155, -189, -227, -269?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15161.5422 milliseconds in weeks?\nAnswer: 0.0000250686875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f, 2*d - 1 = 2*f - 5. Let s(o) = o + 8. Let n be s(-11). What is the remainder when n\/1*7\/(-3) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -14. Let z(r) = -4*r**3 + r + 1. Let b(d) = -6*d**3 + 2*d + 2. Calculate w*z(l) - 5*b(l).\nAnswer: -2*l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2408651 - 696273 = 142*m. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)\/((h*h**(2\/11))\/h)*h**(-1\/9)\/h**(-2)*(h*h\/(h\/h**(-1\/11)*h)*h**(-4))**14 assuming h is positive.\nAnswer: h**(-5600\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 55. Suppose -6*a = -a. Let g be y(a). Round g to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 9*m - 3. Let j be f(8). Suppose -j = -3*a + 49. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654 - 3503 = -648*y + 517*y for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 - 220620*s**2 - 2432776500*s + 19476334240 = 0?\nAnswer: -22066, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {p: 5, f: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208436 is divided by 68750.\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2828958 != -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.369 to one dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22 + ((-3570)\/(-294) - 33)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, 0.82?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49797 or -49785?\nAnswer: -49797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 1, g: 2, m: 1}. Give prob of picking 1 g and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/7190 and -8\/403359.\nAnswer: 4033590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 3767715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1161, -1170, -1181, -1194, -1209?\n\"Answer: -y**2 - 6*y - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -1\/8*v**4 - 3*v**2 + 1\/30*v**5 + 0 + 0*v + 0*v**3. What is the second derivative of f(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*n**2*v**3 + 393*h*v**3 - h*v + 3*n**3*v**2 - 195*n + v**3 wrt n.\nAnswer: 4*h*n*v**3 + 9*n**2*v**2 - 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5)\/(n**6\/n))**26 assuming n is positive.\nAnswer: n**(-572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(192) - (sqrt(192) - sqrt(192)*3 - sqrt(192))))\/(sqrt(35)\/(sqrt(15)\/sqrt(3)*3)).\nAnswer: 3*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55883441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14923436 from 2.\nAnswer: 14923438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9197000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*y + 70, 5*y - 16 = 5*c + 34. Let n = 2 - 2. Suppose 2*b + n*b - 68 = 0. What is the remainder when b is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2, 8*h - 4*h + x - 19 = 0. Let c(v) be the third derivative of 1\/24*v**4 + 3\/20*v**6 + 0*v - 1\/60*v**5 + 0 - h*v**2 + 0*v**3. Calculate c(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3789 a factor of 587683341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1056\/(7392\/(-77)))\/(11\/(-70)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 37383?\nAnswer: 373830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1832 + 6902*l + 427*l**2 + 6904*l - 117*l**2 + 6905*l - 20707*l wrt l?\nAnswer: 620*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -52. Suppose -10*r + 7*r - 5*h = -48, -5*h = -2*r + 57. Let x = r + q. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*t = 735*t - 1553 - 10975 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 19 = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2970.65289 + -0.15289. What is w rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*u - 75*u + 104*u**2 + 26*u + 28*u to l + v*u + q*u**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 54*i - 2435670 = -104*i. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3776 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 53, -5, 1.\nAnswer: -5, -2, 1, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(264)\/sqrt(8))\/sqrt(11))**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21013 to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4))\/(102 + (-32320)\/303)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -54) + (-20 - -10) + 24\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -2, 3, -3\/4, -36\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66.8 + 67. What is the second smallest value in j, 0.04, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1595, 3194, 4795, 6398, 8003, 9610?\nAnswer: 11219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**13*s)\/s*s\/(s*(s\/(s**(-2\/31)*s*s)*s*s)\/s*s))\/(s**(-1\/2)\/s)**(32\/7))**(-33) assuming s is positive.\nAnswer: s**(-134574\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 10*t + 30 = -12 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, 275, 2481 in decreasing order.\nAnswer: 2481, 275, -0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -702109?\nAnswer: -702104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -1, -4, -22 in decreasing order.\nAnswer: 49, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30387*d**3 - 204*d**2 - 39*d wrt d?\nAnswer: -182322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Suppose -8 = -6*m - 2. What is n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2362501*k**3 - k**2 + 3*k + 2. Let c be t(-2). Round c to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 n when three letters picked without replacement from vvvvveheevhvnveeveh?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*q - 31 = 0, r - 1 - 35 = -4*q. What is the remainder when (46 - -6) + 5 + 0 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let l(u) be the third derivative of -u**6\/180 + 17*u**4\/12 + 5*u**3\/3 + 63*u**2. Let q(k) be the first derivative of l(k). What is z(q(n))?\nAnswer: -2*n**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29647199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -16. Let m = -13\/46 + 419\/506. What is the biggest value in m, 2\/5, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 135 = 11*s, 2480*r - 2479*r = 5*s - 26 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 1, b: 5, h: 2, r: 1}. Give prob of sequence hhbg.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49015271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -19. Let q be (-8)\/(2 - 6)*2. Suppose 64 = q*w - 4*o, w - 11 = -3*o + 17. What is the remainder when w is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-8))\/(42\/336)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 1 + m + 2*m**3 + 0*m**3 + m**3. Give y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**2 - 9*b + 9*b)*(11 + 1 + 2)*(-2*b + 4 - 1 - 1)*(-4 + 3 - 2) to k*b + w*b**2 + i + r*b**3 and give r.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 2, p: 1}. What is prob of picking 1 l and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 6*u**2 - 2*u + 4. Let j be z(6). Let y be (-4)\/(4\/22 + (-703)\/2717). List the prime factors of y*(4\/j - -1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40152 (base 9) to base 14.\nAnswer: 987a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 270 = t. Suppose -8*v + 12*v = t. Let u = v + -56. Calculate the greatest common factor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -100 - 46\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.968131 weeks to hours.\nAnswer: 162.646008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**2 + 5*k - 5. Suppose -10 = -11*u + 6*u - x, -2*x = 0. Let f(d) = -283 - 276 + 4*d**u + 561 - 2*d. Determine 2*c(m) + 5*f(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (2\/4)\/(109\/76954)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 113.169. Let k = w - -0.069. What is the closest to -3\/2 in 20, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 2*i - 12. Let z be -10*1\/(-2)*1. What is the smallest common multiple of h(z) and 20?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 25*i - 76. Let u(v) = -19*v + 74. What is -3*p(x) - 4*u(x)?\nAnswer: x - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8340440*n. Let z(g) = -6*g. Calculate z(l(u)).\nAnswer: -50042640*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 93062\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 20, -l + 5*v + 24 = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 9. Let d(t) = -t + 13. Let k be d(f). Suppose k*b = -2*b + 12. Calculate the greatest common divisor of 66 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 749053 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 18294.\nAnswer: 18294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 141.18. Let s = -47 + 47.1. Let h = u + s. What is h rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let m = -2 + 6. Suppose 0 = -5*v - 5*f - 40, -2*v + 3*v - 5*f = 16. Put m, v, i in ascending order.\nAnswer: v, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-15)\/125)\/3)\/(1\/5). Let g = 5 - 4.7. Let x = 0.3 - g. Which is the second smallest value? (a) 1 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141723 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 8) to base 7\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 6*r + 3*r)*(-3702*r - 4985*r + 10113*r).\nAnswer: 1426*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from fngfn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 741 and 1493232?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**6\/6 + n**5 + 3*n**4\/4 - 17*n**3\/3 - 14*n**2 - 12*n + 47. Determine b so that m(b) = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/2)\/((-1)\/(-16)). Suppose -5*m - 22*m + 162 = 0. What is the greatest common divisor of u and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -1\/525*b**7 - 1\/15*b**4 + 0*b**3 + 8*b**2 + 1\/150*b**5 + 0*b + 0 + 1\/75*b**6. Factor l(h).\nAnswer: -2*h*(h - 4)*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/28000 and -107\/8000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(((-8)\/(-4))\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9b + -9f87?\nAnswer: -ac22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*d)*(-639*d**3 - 640*d**3 + 1278*d**3 + 692*d**2).\nAnswer: 2*d**4 - 1384*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(4900) - sqrt(4900))\/(sqrt(42)\/sqrt(6)*2).\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1488213.84794 and 0.07.\nAnswer: -1488213.77794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 2. Let l(x) = -21*x + 57. Let v(k) = 3*k - 8. Let m(p) = -2*l(p) - 15*v(p). What is 4*m(a) - 11*t(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)\/(o*o*o**(-9)*o)*(o*o**(1\/2)\/o)\/(o**(-6)*o) assuming o is positive.\nAnswer: o**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*i + 70, -3*i - 3630*a = -3631*a - 91 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f + 212 = 3*n, -2*n + 8 = 0. Suppose f = -u - 9*u. Let l be ((-20)\/u - (-3 + 7)) + 32. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -36141211 and -0.456.\nAnswer: -36141211.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (7 - (7 + -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2329\/17*5\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1643675*j + 3428022 wrt j?\nAnswer: 1643675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2) + (-85)\/34. Let p(d) = 5*d**3 + 10*d**2 + 9*d + 3. Let g(q) = 9*q**3 + 19*q**2 + 17*q + 5. Let x(j) = -4*g(j) + 7*p(j). Calculate x(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (95 + 49 - 57)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 4*r - 1. Let j be k(5). Suppose 0 = -n - 5 + j. What is the nearest to -0.1 in 0.5, n, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1714828, 6858957, 15432506, 27435475, 42867864, 61729673, 84020902?\n\"Answer: 1714710*c**2 - c + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-14)\/s*s)**(11\/6)\/(s**25*s**(-13)))**19 assuming s is positive.\nAnswer: s**(-4085\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 402887.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81326 and 2590?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 184 = 0. Let i(w) = 126*w**3. Let s be i(1). Let g = s - z. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2534991813*r - 69*r**2 - 4 - 2534991813*r.\nAnswer: -69*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27610067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 0.2 (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15611 in -0.1, 1, -93\/184?\nAnswer: -93\/184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 3*p**2 + 3*p + 3. Let n be x(-3). Let g = 6 + -2. Let o(h) = -3 - h - 6*h + g*h. Let i(k) = 4*k + 4. Give n*o(q) - 4*i(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 229 and 11.\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 + 3 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8912 = 13*m - 18*m - u, m + 4*u - 1771 = 0. What are the prime factors of m?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2\/3*w**3 + 0*w**2 + 0*w - 7 + 1\/2*w**4. Factor c(z).\nAnswer: 2*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*f - 1 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 (base 12) in base 5?\nAnswer: 43432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 4*l**2 + l**2)*(-l - 3*l + 2*l)*(5*l**2 + 1033 - 1033) + l**5 + 0*l**5 + 2*l**5.\nAnswer: -7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -23. Let q = n - 16. What is the smallest value in q, -0.4, -1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 5*d + 93. What is i(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298898 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 310 in decreasing order.\nAnswer: 310, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Let r(j) = -6*j - 4*j**2 + 43*j - 2 + 2*j**3 - 36*j. Let t(p) = -3*p**3 + 5*p**2 - p + 2. Give v*r(s) + 4*t(s).\nAnswer: -2*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvzzvzvrvv. What is prob of sequence vrvz?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-16)\/(-6))\/(-92 - -95).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(192))\/sqrt(9) + 3)**2.\nAnswer: 3*sqrt(2)\/2 + 73\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4946 + -4908. Let u(d) = -d**3 + 36*d**2 + 76*d - 5. Determine u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122 - 40*j**2 - j**2 - 119 - 48*j**5 wrt j?\nAnswer: -2880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 19 + 7 = 2*q, 0 = 8*q + 1570*g - 1575*g - 106 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 39?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1605 * -0.1.\nAnswer: 0.01605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2. Let a(o) = -160*o**2 + 29*o. Determine a(u(j)).\nAnswer: -640*j**4 - 58*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14913 = -10*u - 14922 + 29795 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 97*v**2 + 2400*v + 2304.\nAnswer: (v + 1)*(v + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37619 + 8141 = -45*s + 50*s. Is 143 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027.7466 months in years?\nAnswer: 85.64555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -3*k**2 + 51 + 0*k - 40\/3*k**3. What is the second derivative of i(b) wrt b?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058999.\nAnswer: 1058999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 13*s + 3*i + 108759985, -5*s + i = -271899995. What is s rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -14.8?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 2*a - 7. Let r(f) = 2*f**2 + f + 7. Let g(x) = 5*n(x) + 4*r(x). Let c(t) = -4*t**2 + 6*t + 8. Let u(m) = 4*c(m) + 5*g(m). Give u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 6 = -3*l, 5*l = 16 - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -397807 and 0.06.\nAnswer: -23868.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13150 - 1025741\/78. Let m = 1058\/195 + q. Find the common denominator of -23\/4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -20 (b) 1\/4 (c) -1\/4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-20) + (-3 - ((-16565688)\/20 - -4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592236 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 8:08 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*s = -3 - 7, 4*s = -w - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2447*t - 2443*t - 2*r - 2 = 0, -4*t + 0*r + r = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-110)\/8*-1*48\/3. Which is bigger: v or 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2 - 14. Suppose k*p + 21 = p. Let n(l) = -l**2 + 14*l - 48. Let j be n(10). Is p < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence niz when three letters picked without replacement from zvinvgnaaigain?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v - 13. Let w(y) = -6*y + 14. Let c(m) = -5*j(m) - 4*w(m). Let l(x) = 2*x**2. Determine c(l(h)).\nAnswer: -42*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 440491 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 - 35*s**2 + 8*s + 11. Let k(r) = -3*r**3 - 23*r**2 + 5*r + 7. Calculate -5*i(f) + 8*k(f).\nAnswer: f**3 - 9*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 9:17 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7171398, 14342905, 21514414, 28685925?\n\"Answer: j**2 + 7171504*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j**4)*((-4 + 1 + 1)*(-5 - 6 + 5) + (-4 + 4 - 1)*(-28 + 7 - 14)).\nAnswer: -94*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*j + 9, 0 = -0*j + 5*j - 15. Suppose -b - 3*y = -4*b - 681, -a*b = 3*y + 675. Let u = -97 - b. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h + h**2 + h**2 + 2*h**2 + 0*h**2. Let t be y(-4). Calculate the greatest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1058 - 4150 = 0. Let j = p + -1084. Round j to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 57 = -84 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 200077?\nAnswer: 4\/200077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -253 - 24 - 42*f + 44*f - 10 to y + j*f and give y.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44533526 divided by -220463?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 3) + 1 - -4. Put r, -9, -2, 4 in ascending order.\nAnswer: -9, -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-13))\/(36\/36). Suppose -3*c - 3 + 7 = -4*t, -2*t - 5*c = -24. Sort t, -2, j in decreasing order.\nAnswer: t, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50399.\nAnswer: 101, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.57161 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 424557 and 879?\nAnswer: 424557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 10, -2, 164 in ascending order.\nAnswer: -54, -2, 10, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9217500391 rounded to 3 dps?\nAnswer: -0.922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:08 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 256588771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 198.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202033393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6245 is divided by 529?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 5*h**2 - 5. Determine w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235 divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70366, -140751, -211136, -281521, -351906?\nAnswer: -422291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23411118, -46822236, -70233354, -93644472?\nAnswer: -117055590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:24 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -23. Sort -0.1, 0.02, y.\nAnswer: -0.1, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/6 - 26*i**3\/3 - 37*i**2. Let l be f(-12). Round l to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-9))\/(260\/45 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 654*r + 586*r - 1240*r + 42.\nAnswer: 2*r**3 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mozz when four letters picked without replacement from {z: 5, m: 4, o: 2}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5116.1293 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 + 7017265*i - 63155790 = 0.\nAnswer: -1403462, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = 9606 + 6168. Let r = m - -5017\/7. Which is the closest to -0.1? (a) -0.04 (b) -5\/6 (c) 4\/9 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442401708 to the power of 1\/2, to the nearest integer?\nAnswer: 37979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0 + 0*c**2 + 13 - 21*c - 1 - 2*c**2. Suppose 80*h = -114 - 686. What is the units digit of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2925503.91 minutes?\nAnswer: 290.2285625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -186*c + 49*c**2 - 187*c + 1 + 373*c in the form z*c**2 + p*c + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -4*t**2 - 3. What are the prime factors of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/231 - 701\/1848. Which is the closest to h? (a) 5 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 44*x + 396. What is c(32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5710 and -0.4?\nAnswer: 5710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2079\/147 + 4\/56*-2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 28. Let x(d) = 11*d + 57. Determine v(x(s)).\nAnswer: -22*s - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -898*x + 44902. Calculate p(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*n + 374*n - 3098*n - 23630 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 10:23 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 16116.51 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35 and -0.15.\nAnswer: 34.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205335165 + -33?\nAnswer: 205335132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**2 - 2*m**3 + 3*m**2 - 52*m**2.\nAnswer: -2*m**3 - 74*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14505*d**3 - 51*d**2 + 69200246*d wrt d?\nAnswer: 87030*d - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*(-6)\/(-120) - (-126)\/15. Suppose g*n - 11 = 7. What is x in n*x**2 - 18\/5*x - 4\/5 = 0?\nAnswer: -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Suppose -4 = 5*o + 6, -i*p + 8 = o. Solve -p*g + g = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 + -1 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 18*o - 56. Suppose 9 + 12 = -o*f. Let d be (1\/f)\/((-5)\/30). Solve 0 = 4*i - 2*v + 14, 23 = -d*i - 2*i + 5*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/252 - (6 + -7)\/(-4)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -329740, -329697, -329654, -329611?\n\"Answer: 43*x - 329783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(180) + 5))**2*5.\nAnswer: 10800*sqrt(5) + 36900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5558898 litres?\nAnswer: 555.8898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -10221023330?\nAnswer: -10221023313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h - 2*f - 7, 25 = -5*f. Suppose -h*z = -5*z + 804. Suppose 3*r + 2*u = -3*u + z, -104 = -r + 2*u. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y**4\/7 - 2998*y**3\/7 - 1574*y**2 + 96192*y\/7 - 109440\/7 = 0. Calculate y.\nAnswer: -8, 3\/2, 3, 760\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n**2 + 2*n**3 + 2*n**2 - 2*n + 0*n**3 + 3. Let x(w) = -w**3 - 1. Let y(m) = 0 + 4 - 3*m - 2 + 1. Let p be y(2). Give p*x(t) - v(t).\nAnswer: t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87476902?\nAnswer: 2, 5501, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86287 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47.36517 and -2.682.\nAnswer: 44.68317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 1. Let k be i(-5). Let s be 0 + (0 - 0) + -1. Let w = s + k. Calculate the remainder when 8 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 7*y - 10. Let x be b(10). Let f be (242\/(-88))\/((-1)\/x). Calculate the greatest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2689997*j - 588 = 2689899*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -247, -567, -1121, -1987, -3243, -4967?\nAnswer: -7237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0343067 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -y - 12 - 4, -y = 3*q + 8. Suppose y*b + 5*p = 1016, -3*b + 4*p + 731 = -0*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 o when four letters picked without replacement from uooouooooooo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/25*-5*(-3)\/15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/6 + (-1)\/(-3). Suppose -9 + s = -r. Let b be (3\/(-2))\/((-6)\/(-16)). Sort r, -2, b in ascending order.\nAnswer: b, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 10127?\nAnswer: 111397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 263253288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1502684 by 1502684.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:56 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 13 - 7 - 5*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (26\/(-117))\/(4\/60)*(-7818)\/4?\nAnswer: 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 73\/10) + 1\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 9. Let k be t(-7). Put 11, k, -2 in descending order.\nAnswer: 11, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3196\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28384291609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2. Let n(l) = -2*l + 676. Calculate r(n(a)).\nAnswer: 8*a**2 - 5408*a + 913952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6764, -55612, -188198, -446390, -872056?\n\"Answer: -6978*t**3 - t**2 + t + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3132*j + j**5 - 3021*j - 100*j**3 + 0*j**5 wrt j?\nAnswer: 20*j**3 - 600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s - 5. Let x be t(-8). Suppose 3*j + x = c + c, 5*c = j + 44. Let u = -16 - j. Solve -u = -b - 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238319689 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzztggtgzbbtbggtzg. What is prob of picking 2 t and 1 g?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1480, -2877, -4190, -5419, -6564?\n\"Answer: 42*h**2 - 1523*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*-2)\/sqrt(11))\/(sqrt(63)*-5).\nAnswer: 2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Let s = 2.94 + 0.06. Let h = 206824 + -206823. Which is the smallest value? (a) s (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -86.66.\nAnswer: 88.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*j = 18, -30 + 0 = 5*a + 5*j. Let p be 2 - (a\/9 - (-2)\/3). Suppose 0 = -p*l - 6, -5*k + 2*l + 1011 = 0. Does 41 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 733 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 26*a + 3095. Let y be w(44). Let q be (-106)\/6 - 2\/6. Let i = y + q. Let t(k) = 3*k**2 + 3*k - 1. Determine t(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1201.22?\nAnswer: -4804.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 221 = 4*i, -142*v = i - 138*v - 74. What is the highest common factor of i and 1908?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = -105. Suppose f = 4*c + q, -2*q + 25 = 2*c - 3*q. Let w(t) = t**3 - 4*t**2 + 6*t + 1. Calculate the least common multiple of c and w(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2. Suppose 5*z + 4*v + 3 - 1 = 0, 4*v - 8 = 0. Let w be c(z). Let k = 10\/3 - w. What is the nearest to k in -2, 5\/3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 3*n**2 - 1\/168*n**8 + 0*n**5 + 0 + 0*n + 1\/105*n**7 + 0*n**3 + 0*n**4 + 0*n**6. Factor c(t).\nAnswer: -2*t**4*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 - 226. Suppose -3*h = -2*m - 126, 0 = t*h + h - m - 123. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q - 23. Let z(w) = -2*w - 11. Let u(c) = 5*c + 22. Let s(v) = 6*u(v) + 13*z(v). Let f(x) = -6*k(x) + 13*s(x). What are the prime factors of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24 + 1)\/(-6 - -3 - -4). Let f(z) = 2*z + 66. Give f(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2 - 3. Let t be ((-3)\/2)\/((-2)\/4). Let w(x) = -x**2 + 1 + x + 0 + 265*x**t + x**2 - 248*x**3. What is w(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*k - 10 = -j, 12*j - 186 = -5*k - 66 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j - 4074 = 0. Let s(b) = b**3 + b**2 + b + 2329. Let f be s(0). Let h = f + j. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*o**3 - o - 257 wrt o.\nAnswer: 261*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 21*o**2 - 8*o + 19. Let u be i(-10). Let n be 1 - 6\/9*-1. Let d = 2.7 + -3. Which is the smallest value? (a) u (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 - 12 + r - 5*r**2 + 4*r**2 + 151 - 5*r**2 - 2*r**3 to p*r + y*r**3 + v + m*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/899 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 68*s**2 + 364*s - 74. Let p be k(-73). Are -4052 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*w + 2*y, 0 = 89*y - 84*y - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 5) to base 11\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*d + 2202 = 692*d + 9131 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {z: 6, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 639.995611 + -640. Round q to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (676\/38)\/2 + 124956\/(-1691) + 74?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12123232111?\nAnswer: -12123232103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -20 + (-81 - 6 - -109)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 187 = 2*j - 209 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 41*t**2 - 11. Let c(b) = -8*b**2 + 2. Let x(s) = -11*c(s) - 2*g(s). Let l(w) be the second derivative of -w**3\/6 + 3*w. What is l(x(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 8*z + 15. Suppose -z*l + 105 = 111. Sort l, -3, -5, 3 in decreasing order.\nAnswer: 3, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7234 equal to 7305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*b + 2, 4*b + 6 = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-44))\/(-8 + 6). Let s = -0.04 - 0.26. Suppose -4*x = z - 2*x, -3*z - 4*x = 2. Which is the biggest value? (a) z (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/21 + (585\/420)\/((-1)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 51669.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + u + 6*u)*(-5 + 1 + 1)*(8 + 3 + 6).\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -11) + 2 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1023133?\nAnswer: 1023202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*f + 54 = 3, 73 = 5*i - 3*f. Suppose i*a + 0 = 28. Solve 0 = -5*v + 3*u - 5, 4*v + 41 = a*u - 7*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60703 - -8194951\/135. Calculate the common denominator of x and 4\/225.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 145, -0.06, 0.5, 30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -40 (b) -2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/17 + 22*v**4\/17 - 690*v**3\/17 - 1494*v**2\/17 + 2160*v\/17 = 0.\nAnswer: -24, -3, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -386 - 910. What is the greatest common factor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3425698 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -39. What is the smallest common multiple of 24 and p?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 189*j**2 + 77*j + 154. Let b(h) = -5*h**2 - 2*h - 4. Let x(u) = -77*b(u) - 2*w(u). Let p(t) = -18*t. Calculate p(x(y)).\nAnswer: -126*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p - 4*p)*(0*p**2 + 3*p**2 - 2*p**2) - 3*p**3 - 24*p**3 + 10*p**3.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 32*g**2 - 9*g - 301. Let p be h(-13). Calculate the greatest common divisor of 2158 and p.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 4. Let n = 22 + -18. Let t be 5 + (0 - (n + -7)). Determine k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:37 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 182*d**3.\nAnswer: 182*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47223650 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21821092?\nAnswer: 2, 1033, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2 + 4. What is the second biggest value in j, -2\/3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(5*m**4 - 9*m**4 - 3*m**4)*(-2 + 0 + 3).\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732831, 1465659, 2198487, 2931315, 3664143, 4396971?\nAnswer: 5129799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1398\/(-1165))\/((-2)\/(-40))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 77 = 163. Suppose 0 = -3*p + 375 - o. Calculate the remainder when p is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/1)\/(((-35)\/7)\/5). Suppose g*r = -2*r + 58. Suppose 7*u = -r + 85. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let t be (c + 4)\/(-2 - -1). Let h = -6895 - -6892. Is h at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53850.19 - -47273.444. Let g = 6612.7459824 + m. Let d = -36 + g. What is d rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 1 - 4 + 0*l. Suppose -44*d = -43*d + 5. Let c(b) = b - 2. Let i(g) = d*c(g) + 2*r(g). Determine i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-2)*877677\/(-444) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, c: 2, m: 2, w: 1}. Give prob of picking 1 g and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -358698040813 plus 0.5?\nAnswer: -358698040812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1306\/3 - 435. Let n = -24 + 24. What is the third biggest value in -0.5, j, -3, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.5 - 13. Let r = p - -1.3. Let m = -50.5 - -50.4. Which is the biggest value? (a) -5\/2 (b) 0.2 (c) m (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62780 - -88639. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1153\/12 - 96. Let d(z) be the third derivative of -1\/20*z**5 + 0 - 1\/120*z**6 - 2\/3*z**3 + b*z**4 + 3*z**2 + 0*z. Calculate d(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggnnnngnngngnnfgn. What is prob of picking 2 n?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7290 is divided by ((-128)\/40 + 2)*((-130)\/4 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o + 0 - 13*o**2 + 11\/12*o**4 + 0*o**3. Let h(g) = -g. Calculate p(h(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-6))\/(12\/36). Suppose s + 4 = 2*t, 3*t + 0*s + s - c = 0. List the prime factors of (1 - 19)\/(-2)*t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 243482 - 243459, -168*y = -p - 23 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20807950 to the nearest ten thousand.\nAnswer: -20810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2077629, 2077624, 2077609, 2077578, 2077525, 2077444, 2077329?\n\"Answer: -n**3 + n**2 - n + 2077630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4485390 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.8 - 30.83. Let i = 1162641 + -1162641.02999956. Let t = g - i. Round t to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = -3. Suppose 0*p + 4*p + 4 = -4*u, 4*u + z*p = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + -5*1*sqrt(2299))**2.\nAnswer: 330*sqrt(19) + 57484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 522331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21829 + 4*x + 5*x + 21778 - 43401 to the form c + n*x and give c.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3\/2, 66, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 3:27 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, i - 89 = 2*i + 3*y. Let f = -47 - i. Suppose -z - f = -3*z. Calculate the remainder when 41 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 171*p + 10791. Determine b(-70).\nAnswer: -1179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*l**5 - 3*l**3*n + 2*l**2 + 712*l - 6*n wrt l?\nAnswer: -940*l**3 - 18*l*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574687, -1149393, -1724099, -2298805, -2873511, -3448217?\nAnswer: -4022923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*i - 2*u - 11, -13 = -2*i + u. Let x be 46\/i + 12\/24. Let k be (-42)\/(-12)*x\/21. Solve -c + 2 = -0*z + 3*z, -k*z = 4*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000341 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 - 9*h**2\/2 - h. Let c be 96\/(-3120) + 2265\/(-325). What is x(c)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 7. Let v be b(7). List the prime factors of (v - (-1 - 18))\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -69*t + 1454. Let u be c(21). Solve 0*n + 2*n = -4*i + 12, -4 = 3*n - u*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102797 is divided by 51395.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (-18)\/(-4) + 2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2169*o**2 - 4331*o**2 + 390 + 2165*o**2 in the form w*o + u + l*o**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 438*m**3 - 2967*m**2 + 6708*m - 5004 = 0. Calculate m.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2795 (base 11) to base 6.\nAnswer: 24421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - -4 - (0 - -1). Let o(p) = p**3 - 8*p**2 - 11*p. Let g be o(d). What is the common denominator of -79\/6 and (-93)\/(-2)*1\/g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46159.41 - 0.1?\nAnswer: 46159.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*((-3*sqrt(4598) + sqrt(38))\/(sqrt(200)*1) + 1).\nAnswer: -5 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 171*k + 3. Let m be p(-1). Let w = m - -171. Which is the fourth biggest value? (a) w (b) 1 (c) -1\/2 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 147 = 14*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 4) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 4. Let i(l) = -4 + 0 - 5 + 4 - 8*l. What is -5*i(n) + 6*r(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9522 + 8091. Let x = -11804 + b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54\/25 + 752\/325. Let k = 4.032 + 0.068. Let l = 0.1 - k. What is the closest to 0.2 in l, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bykzjey. Give prob of picking 1 j and 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219.42 + 221. Let x = 0.42 + k. Which is the second biggest value? (a) -8\/5 (b) x (c) 0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2055 - -144402?\nAnswer: 142303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3491158?\nAnswer: 2, 11, 31, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2730.387cm?\nAnswer: 27303.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -197, -762, -1703, -3020, -4713?\n\"Answer: -188*t**2 - t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 57*-174\nAnswer: -9918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isbi when four letters picked without replacement from ihhzsibj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 17, 19, 19, 17, 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5 + 113*x**4 - 333*x**3 + 331*x**2 - 110*x = 0.\nAnswer: 0, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 14) to base 8\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.37 - -0.37. Let w = a - -12. Let s = -7 - w. Sort s, 3, 0.5.\nAnswer: 0.5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 587, 607, 629, 653, 679, 707, 737?\n\"Answer: s**2 + 17*s + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k**3 - 12*k - 2*k**2 - 12*k + 23 + 41 - 4*k**4 - 46*k**2 + 8*k = 0. Calculate k.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7) + 1) - sqrt(84)\/sqrt(3))**2.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z + 1. Let a be y(-1). Suppose 19 = -a*b + b. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1819\/8 + 437\/2. Calculate the common denominator of s and -11\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4 - 2 + 5*t - 4*t. Let z be x(0). Suppose -20 = -z*l - 4*y, -2*y + y = 5*l - 50. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a decade in months?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1216743663*g**6 - 7445*g**2 + 14954*g.\nAnswer: 146009239560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7946341, 15892674, 23838997, 31785310, 39731613, 47677906, 55624189?\nAnswer: 63570462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5 + 4 - 3*b**2 + 11 to the form f*b + s + q*b**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1308 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.026 + 41.274. Let r = d - 41. Let i = r - 2.2. What is i rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Let b(k) be the first derivative of 6\/5*k**5 - 5\/12*k**6 - 1 + 1\/3*k**3 - 9\/8*k**d + 0*k + 0*k**2. What is c in b(c) = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370714 is divided by 413.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*q + 329 - 151*q + 903.\nAnswer: -66*q + 1232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (46170\/1368)\/(3\/52). Calculate the greatest common factor of p and 3185.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.308 + -0.008. Let m = 24 - 21. Sort 0, m, t.\nAnswer: 0, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -19*y**2 - 3*y. Let k(f) = -96*f**2 - 16*f. Give -3*k(o) + 16*l(o).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 9:32 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4138 and 8.\nAnswer: 16552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f. Suppose 3*i + 1 - 19 = f. Let h(m) = -m**3 + 5*m**2 + 7*m. What is the least common multiple of h(i) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*((-3704)\/(-1850) - 2). Suppose -13*i = -292 + 279. Is i at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10570586591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 5:48 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let p(w) be the third derivative of -4*w**5\/15 + 28*w**2. Calculate g(p(v)).\nAnswer: 256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2372*n + 2361*n = -11. Which is bigger: n or -5\/971?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -4 - -1)*0*7\/42. Let l(b) = -b**2 + 2*b - 48. Give l(f).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/70 - (78\/120 - (-2)\/10)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.3*1.\nAnswer: -32.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356052194.\nAnswer: 2, 178026097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l + 63. Give z(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -276*n*z**3 + 219*n*z**2 - 1879*z**3 - 5*z wrt n?\nAnswer: -276*z**3 + 219*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 - 16*v**2 - 11*v + 10. Let a(t) = 50*t**3 - 280*t**2 - 185*t + 170. Let w(m) = -2*a(m) + 35*d(m). Determine y so that w(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 932 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.05, 9\/7, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from upppqupsspuuppqp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 29\/18, 6, -5, -0.2, 2, 0 in increasing order.\nAnswer: -39, -5, -0.2, 0, 29\/18, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45289081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 982052075?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(320) - -2*sqrt(320)) + sqrt(20))\/(sqrt(4) - (sqrt(256) - -1*sqrt(256))))**2.\nAnswer: 196\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 20*n**2 - 5*n**2 - 16*n**2 - 10. What is l(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-9)*((-5)\/((-35)\/(-7)))\/((-188)\/(-2)).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + -11073.919194.\nAnswer: -10989.919194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -742 + 617. Let h = q + 124.6. Let d = 10 - 7. What is the closest to 27 in -2, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c3 (base 16) in base 3?\nAnswer: 121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -98*l - 6361. What is q(-65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 19*s - 9 = -3*m, -4*m + 3*s = -26. Suppose -3*z - 2*z - 5 = 0. Let o = 8 + z. What is the remainder when m is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3769, 7566, 11363?\n\"Answer: 3797*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 2\/15 (c) -2\/5 (d) -2495.3 (e) -0.85 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 8*y - 37. Determine r(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/8 + (-2)\/(-8). Suppose -r - 376 = -5*r - d*l, 4*r - 372 = -4*l. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 50 = -5*l, 5*q = -l - 4*l - 10. Let r(k) be the second derivative of k**3\/2 + 9*k**2 + 6*k. Let f be r(q). Sort -3, 5, f in decreasing order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5891, -18, 4 in decreasing order.\nAnswer: 5891, 4, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76680 is divided by 19098?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -389230, -5 in descending order.\nAnswer: -5, -18, -389230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 9*k**2 - k**2)*(3*k + 0*k - 6*k) + (14 - 10*k - 14)*(3*k**2 - 5*k**2 + 7*k**2).\nAnswer: -71*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 72*s + 2433. Determine q(97).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 892, 1875, 2858, 3841, 4824?\nAnswer: 5807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357*o**3*q**2 + 24*o**3*q + 2*o**2 + 1048*o*q**2 - o*q + 99*q wrt o.\nAnswer: -2142*q**2 + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = 22*z + 109 - 4 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/6720 + g**7\/1680 + g**6\/1440 + g**3\/3 + 4*g**2. Let z(j) be the first derivative of b(j). Factor z(t).\nAnswer: t**2*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 682\/9. Suppose 15 = m + 3*z, -m - 5*z = -12 - 11. Suppose m*y - 1 = 4*y. Is y less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370771 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 730598, 730606, 730614, 730622?\n\"Answer: 8*w + 730590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-9)\/6 + -3. Solve -3*p = -v*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.584089km to millimeters.\nAnswer: 5584089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 - -4821\/20. Let g(x) = x**3 - 2*x**2 - 9*x + 3. Let c be g(4). Is c at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1*j)**38\/(j\/(j**(2\/3)\/j))**9)\/((j*(((j**(-2\/5)\/j)\/j)\/j)\/j*j*j)**(-49)\/(((j\/(j**(-7)\/j))\/j)\/(((j\/j**(-2))\/j*j)\/j))) assuming j is positive.\nAnswer: j**(197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 10*z - 1 + 2*z + 12. What are the prime factors of l(5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and -20364431.8964.\nAnswer: -20364423.8964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from jjwjwjjjwiwjwwfjwwfw.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -404. Let f = -192 - x. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v = 32*v + 1626. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6 = -5*p - 2*k, 4*k + 12 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*v, -8*v = 3*r - 11*v - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 + -6 - 3 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 31*z + 14. Give i(30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t = -72*t + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 0. Suppose -3*q = -18 - l. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80785878.\nAnswer: 2, 3, 13464313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let r(k) = o + k**3 - 2 + 4*k + 4*k**2 + 4. Suppose -2*q = q - 4*z + 14, 0 = q - z + 4. Determine r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-143))\/4 - 12\/(-66).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453918 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -6, 116.\nAnswer: -6, 0.2, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*k - 152 - 630 - 263 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f*f*f*f*(f**(-1\/2)*f)\/f*f*f*f)**(-19)\/(f\/(f*f*f**1\/f))**(2\/11))**(-37))**(-2\/125) assuming f is positive.\nAnswer: f**(-146779\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/194 (b) 6 (c) 0.2 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {f: 2, s: 1, b: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**2 - 9*l + 4. Let n(g) = 4*g**2 - 5*g + 2. Suppose 6*v = -t + 3*v - 11, -5*t - 35 = 5*v. Give t*n(o) + 3*w(o).\nAnswer: o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43697, -43698, -43699, -43700, -43701?\nAnswer: -43702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) -5 (d) -8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 4*c**2 - 2*c**3 - 4*c**2 - 9*c**2 to x*c**2 + u + r*c + q*c**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/4 + 1351*a**2\/4 - 108780*a + 10264275 = 0 for a.\nAnswer: 210, 931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6216122 is divided by 1554025?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 27 = -33. Let q(c) = c**3 + 10*c**2 + c - 8. Let m be q(-10). Calculate the remainder when 4*(-3)\/(m\/57) is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44935 or 0.14?\nAnswer: -44935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 890 - 889.5. Put -9\/8, v, 1\/4 in increasing order.\nAnswer: -9\/8, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 + s**2 + 34*s + 123. Calculate w(-3).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.25 + -0.35. Let c = 161 - 801\/5. Let m be (-64)\/(-44) - (1 + 1). What is the closest to d in -4, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-302)\/182 + (-3333)\/(-14443))*(-105)\/54*2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - k - 3*k + 40 = 0, 0 = -4*k - 16. Let u = -90 - -130. Let q = u - 30. Calculate the lowest common multiple of q and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000084249 rounded to seven dps?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 8*t**3\/3 + t**2\/2 + 2*t - 2. Let u(q) be the first derivative of k(q). List the prime factors of u(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -3330?\nAnswer: -3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256\/(845824\/(-528612)) - -160?\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 45?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, l: 12}. Give prob of sequence ttll.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + (sqrt(77) + sqrt(77)*-1)*3))\/(sqrt(396)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-16)*284\/213\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/(-35) - 0)\/(2\/14). Suppose i*y - 1574 + 142 = 0. 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 3 - ((12 - -1 - -6) + (0 - 4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)\/q**(-1\/4))**(-1\/8) assuming q is positive.\nAnswer: q**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -109, -104, -97, -88?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40290 at least as big as -40295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213 - 31251*q + 109 + 104 to v + j*q and give j.\nAnswer: -31251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1831541 and 1831456 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -832994153 to the nearest 1000000.\nAnswer: -833000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - g + 24 = 0, c + 4532 = 4*g + 4457 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7044*d**2*v**2 - 3506*d**2*v + 13730964*v**2 + 5*v wrt d?\nAnswer: 14088*d*v**2 - 7012*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2 - 10*f + 10. Let t be o(-8). Let w be t\/(-24) + 2\/(-8). Suppose 2*u + j = -1, 2*u - 3*j - w = -u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -141, -280, -427, -588, -769?\n\"Answer: -v**3 + 2*v**2 - 138*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6267144.708 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.4 - 9. Let x = -0.4 + h. What is the nearest to 0.1 in 0, x, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 1)\/(0 - (8 - 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16292207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (-23 + 6 + 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -5*v**4\/12 - 23*v**3\/3 + 49*v**2. What is the tens digit of k(-34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 31. Let m be 1\/(-18)*-2 - 1284\/(-108). Let d be ((-2)\/(-3))\/(-1*4\/m). Which is the nearest to 2? (a) j (b) d (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17 + 0)*(-32)\/(-4). Let b = -289 + 206. Let i = b + r. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 2*l**2 + 0*l**2)*((2 - 2 + 2)*(l + l - 3*l) + 4 - l - 4 + 0 + 0 - 3*l + 6*l - 4*l - 3*l).\nAnswer: 35*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1, -96, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*z - 91*z + 14229 = 0. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 0.2. Which is bigger: y or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a6 (base 15) in base 7?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35984 = -1181*f + 554 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.33021333 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 583 - 158. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297897904 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w. Let k be (-2)\/(-4)*(-16)\/(-4). Suppose -k = 50*r - 48*r. Let y(o) = o**2 - o + 3. Calculate r*d(s) - y(s).\nAnswer: -2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:30 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1395*j**2 + 55*j. Let g(v) = -354*v**2. Calculate b(g(z)).\nAnswer: 174815820*z**4 - 19470*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -8*j + 297. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:28 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3041895.\nAnswer: 1\/3041895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5115 = 79*v + 538 - 558 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514696 (base 10) in base 11?\nAnswer: 321776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*b - 3*b. Suppose 0 = -7*y + 4*y + b. Let i be (12\/(-9))\/(16\/(-24)). Which is greater: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 5*m - 5*m + 0*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3679909.504386 - 3679861. Let i = h - 310.50408. Let y = i - -262. Round y to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {n: 3, c: 5, a: 9, j: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwbrrrbwrw. What is prob of sequence rw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = -4*m, -3*m = n - 27. What is the remainder when 34 + 8*-1 + 4 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -760 + 4*w**2 + 879 - 9*w + 24*w. What are the prime factors of x(-16)?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*n = -7, -20 = 5*k - 4*n + 4. What are the prime factors of (4485\/(-46))\/((2\/k)\/1)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404113959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (53 - -2) + (-24 - -23) + (-6 - 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -3. Let i = -8 + 6. Let f = i - -1. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 51. Determine y(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14185.\nAnswer: 5, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 8*s**2 - 78*s + 495. Determine p(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = 7*h + 7*h. Let k = 161 - h. What are the prime factors of k?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/127, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 3*o**2 - 1200*o - 1190*o + 2 + 2396*o to the form i*o**2 + l + r*o**3 + m*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38537\/20 - 1929. What is the common denominator of -47\/14 and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 11*f**3 - 11*f**3 - f**2 + 0 + 1. Let p = 3 - 4. Is 9 a factor of b(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -y - 4*l, y + 0*y - 5 = -2*l. What is the second derivative of -79*c**3 + y*c**2 + 84*c**3 - c - 3*c**2 wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -93, -188, -321, -492?\n\"Answer: -19*n**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -213 and -2498 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -178, -253, -368, -529, -742, -1013?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, 0.0368, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -38*t + 225*t - 10 + 3 + 3. Let g be n(2). Suppose -5*m + g = -3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-10)*((-23)\/16445*13)\/(6\/20)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5390 and -52\/63?\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(16\/(-1)))\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 - 894864*d**3 + 88983186894*d**2 - 2950415155015608*d + 73704778364659575 = 0. Calculate d.\nAnswer: 25, 99421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/10 + 5*p**4\/2 - 26*p**3\/3 + 57*p - 5. Find b, given that k(b) = 0.\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkkaaxn. Give prob of sequence anf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/(210\/(-18)) - 231\/35.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3124 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62438 + -36511. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g**2 - 18*g**2 - g - 1 + 2*g. Let v(c) = -3*c**2 + 2*c - 4. Suppose 9*s - 8*s + 2 = 0. Give s*t(a) + v(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 + 38*b - b**3 + 3 + 34*b - 79*b. Suppose r = 4, 28 = -5*w - 8*r + 5*r. Is k(w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252070999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 13*h**2 + 22*h + 10. Let t be l(-11). Is (-27914)\/85*t\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -80, -123, -166, -209, -252?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -28*m**3 + 2*m**2 + 5*m + 1. Let l be v(-3). Suppose -21*t + 26*t = l. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 + 252 = 53*m + 132 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 - 5*q + 6. Let k be m(-5). Suppose -4*j - 17 = -5*i + 14, -29 = -4*i - j. Calculate the least common multiple of (-1 + i)\/(3\/k) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 22. Solve 7*h = j*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - r + 682 - 673 = 0, 83 = -3*t + 95*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(4 + 3 - 2)*(o + 1 - 1)*(-2 - 4 + 5) - 9*o + o + 2*o - 5*o + 5*o + o)*(6*o**2 - 4 + 4).\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*w + 1521 - 477 = -58*w. Let c(g) = -g**2 + 35*g - 256. Give c(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3409149 + -11045642927\/3240. What is the common denominator of -61\/2835 and z?\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1874*j**3*n**3 + 4*j**3*n**2 - 31*j**2*n**2 wrt n.\nAnswer: 11244*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 6*a - 2. Let c be k(7). Suppose g = -r - 3, 0 = -c*r + 4*g + 28 + 2. Let w(u) = 3*u - r*u + 8*u. Let q(l) = -2*l**2. Give w(q(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 2:08 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4049163947.\nAnswer: 29, 139626343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -25444171500 to the nearest one million.\nAnswer: -25444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 526\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*t + 37*t - 2*u - 649, -60 = 2*t + 2*u for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryr when three letters picked without replacement from {r: 5, z: 3, y: 5, h: 2, c: 3}?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32000911427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.048 + 25.952. Let c = 29 - d. Put -5, -1\/4, c in increasing order.\nAnswer: -5, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a + 1 - 4 + a**2 - 1. Let o be r(7). Suppose v = o*v - 10. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*m - 22 = -0, 4*m = 4*a - 104. Calculate the lowest common multiple of a and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**3\/3 + 2*s**2 + 2*s. Let y(u) = 1. Suppose 0 = 5*f + r - 15, 5 - 25 = -5*f - 2*r. Determine f*y(m) - o(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 17*i**2 + 2*i - 103. Give j(-4).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6871*d**2 - 75567*d - 27. Calculate i(-11).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:44 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let a(j) be the first derivative of 12*j**3 + 14*j - 1052. What is a(s(c))?\nAnswer: 36*c**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131\/2 - -66. Let q = -49.4 - -49. Let o = 20\/13 - 126\/65. Which is the nearest to o? (a) p (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 - q - 7. Let x be n(-4). Let z = 77 - x. Let o = -29 + z. Solve 4*r + 17 = d - 2*d, -15 = o*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w + 31*w + 49 = 0. Suppose 13*s = w*s - 486. Put s, 1, 2\/3 in descending order.\nAnswer: 1, 2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32037156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 4)*(-9*x + 605*x**2 - 490*x**2 + 8*x) to q + p*x**2 + w*x and give p.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cti when three letters picked without replacement from tic?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 - 2*f**3 - 3*f**3)*(236 + 170 - 142 + (4 - 3 + 0)*(1 - 1 - 1 + 2 - 5 + 4 + (1 - 2 - 1)*(1 + 0 - 2) - 1 - 2 + 5))*(-1 - 1 + 0).\nAnswer: -536*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44420249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o. Let p be n(1). Which is the closest to -2\/3? (a) p (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 8203.9, 3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 185604?\nAnswer: 3897684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011012 - -21?\nAnswer: -10010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28172, 11462, -16388, -55378, -105508, -166778?\n\"Answer: -5570*x**2 + 33742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 19*n + 44. Suppose 5*p + 3 - 13 = 0. Suppose 0 = -d + p + 17. Is b(d) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-185)\/650)\/((-1)\/(-2)). Let b = -2\/65 + z. Suppose w + 4 = 3*w. Put -0.1, b, w in descending order.\nAnswer: w, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8237 and 0.0158?\nAnswer: -130.1446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1184641\/9, -0.2, 1 in ascending order.\nAnswer: -1184641\/9, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/30, -2\/7, 1331?\nAnswer: 1331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172340 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 736\/(-12))\/(8\/24) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3216)\/42880*(-48)\/9 - (-2)\/(80\/(-22))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3496, 3064, 2632, 2200, 1768, 1336?\n\"Answer: -432*f + 3928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -255*g + 29. Let c be b(-13). Suppose -8*y + c = -5648. List the prime factors of y.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**5\/20 + 2*b**4\/3 - b**3 - b**2 - 4*b. Let s be 20\/4 - (1 + -3). Calculate the smallest common multiple of j(s) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 36*u - 400\/3.\nAnswer: -2*(u + 4)*(u + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1681*z + 176 = -1659*z. Let i = 11 + -7. Solve -z = -6*g + i*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -2*(-5*(-4 + -4*(sqrt(637) + (sqrt(637) - (sqrt(637)*-5 + sqrt(637) - sqrt(637))))) + 1)**2).\nAnswer: 493920*sqrt(13) + 149827704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9291037703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -206, -564, -1088, -1772, -2610, -3596?\nAnswer: -4724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*g + 8*g. Suppose 0 = c + g*c. Suppose -5*j + 24 + 41 = c. What is the remainder when 50 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438093 at least 438088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1792.2026 + 1792. Round c to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**3 + 2*d**3 + 17*d**3 - 15 + 11*d**3.\nAnswer: 42*d**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/456 and -151\/472416.\nAnswer: 472416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyyjy. Give prob of picking 2 j and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + d - 1 = -s, 0 = 3*s + 5*d - 5. Let l be (-2 - (-9)\/6)*s. Let v(f) = f**2 - 6*f + 16. Let u be v(4). Solve -u + l = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-3576869.\nAnswer: -286149.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -288 + 285. Sort w, -4, 8, 2 in decreasing order.\nAnswer: 8, 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/60 and -85\/872328.\nAnswer: 4361640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 + 9*x**2 + (-3*x - 2*x + 7*x)*(-1 + x + 1))*(214*x + 4445 - 4445).\nAnswer: 2140*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*b - 9*m + 13*m, -3*b = -3*m - 18. What is the smallest common multiple of 76 and b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 16*f**2 - 6*f - 50. What is the hundreds digit of h(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 56165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjrrjjjrjjjjje.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, z: 15}. Give prob of sequence zd.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/20 and (-6)\/112*29*2\/(-12).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 50*q**3 + 18*q**2 + q + 4. Let r(w) = -9*w**3 - 3*w**2 - 1. Let f(d) = 2*b(d) + 11*r(d). Let g(l) = -1. What is -f(p) + 2*g(p)?\nAnswer: -p**3 - 3*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 154, 126, 106, 94, 90?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5916 (b) 1\/35 (c) -1\/4 (d) 2 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 4*x**3 - 3*x**2 + 3*x**2 - x - 3*x**2 to b*x**3 + v*x**2 + q + f*x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63.81 and -0.0774.\nAnswer: 63.7326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 72148.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + -7.94. Let u = g + 10. Let f = -5 + u. Sort -2\/13, 1\/2, f.\nAnswer: f, -2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 8 = 17. Let k(f) = 3*f**3 + 5*f**2 + f. Let x(o) = 2*o**3 + 3*o**2 + o. Let i(m) = v*x(m) + 3*k(m). Find the second derivative of i(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 = -122*x + 279. Let n be 24\/14 - (-2)\/7. Solve 11 = 4*h - n*r - r, 4*h = 2*r + x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979 times 4?\nAnswer: -7916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020*d - 5093*d + 996*d + 1026*d + 1024*d + 1024*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*m - 42 = -25, 7*m = -3*s - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 34 = -5*w. Let n = -152 - -150. Let o be ((-3250)\/91 - n\/(-7))*-1. What is the highest common divisor of o and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1, -18, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:00 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 672 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/99)\/(-4) + 92\/126?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 12 + 1166*z**2 - z - 1164*z**2 to the form r*z + c + y*z**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*l**3 - l**3 - 5104*l + 69*l**3 + 5096*l + 8*l**3.\nAnswer: -2*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78048, -79228, -80406, -81582, -82756, -83928?\nAnswer: -85098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqc when three letters picked without replacement from {c: 1, b: 2, m: 1, k: 1, q: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2\/51*v**3 + 22 + 10\/17*v**2 - 1\/34*v**4 + 16\/17*v. Factor f(m).\nAnswer: -2*(m - 4)*(m + 1)*(m + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/72*(-3)\/5*(-131)\/(-393)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -49748.59 to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42663689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*4\/(-6) + 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 2*b**3 - 2*b. Let r(d) be the first derivative of -d**2\/2 + 10. Calculate r(a(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-65)*450\/(-4). Let j(a) = 4*a**2 - 7*a + 8. Let f be j(6). Let h = f - u. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3 - 6*b**2 - 15*b - 20. Factor o(q).\nAnswer: 3*(q - 5)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 94500 - 4\/5*d**4 - 8*d**3 + 16200*d + 720*d**2 = 0.\nAnswer: -15, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.2 - 48. Let k = b + -9. Sort k, 0.3, 5.\nAnswer: k, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24\/881 - -105079\/8810. Find the common denominator of (166\/28)\/(1*-1) and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*y + 107 - 7 = 0, 5*o - 2*y = 140. Let g(w) = w**2 - 30*w + 2. Let v be g(o). Solve -4*d + 4 = -v*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 6. Let a be o(3). Suppose -a*n - n = 0. Is 3356\/(1 + 3) + n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*h + 3956 = -8*h. Solve 24*g = h*g - 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 4\/7, -0.9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 897 - 895 + 1792. Let j(g) = 50*g**2. Determine r(j(p)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*m - 1694 = 186, -5*c + 2348 = -3*m. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33958 from 10.\nAnswer: -33948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -25. Let f(o) = o**2 + o - 8. Let b be f(-6). Suppose -t + 3*k - 14 = -2, b = 4*t + 2*k. Solve t*z - 2 = c*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*d - 0*d, 4*d - 8 = -2*w. What is the second derivative of 25*q - 365*q**4 + 439*q**d - 6*q wrt q?\nAnswer: 888*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -32. What is the closest to 1\/4 in u, -0.4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054785 is divided by 998?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 970024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 28 = -4*p. Suppose 3*o - 182 = -10*o. What is the greatest common factor of p and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922748 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 484 by -6.\nAnswer: -242\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 704, 0, -9 in decreasing order.\nAnswer: 704, 24, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 460558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/3 + 52*x**4\/3 - 170*x**3\/3 - 56*x**2 + 264*x = 0. Calculate x.\nAnswer: -2, 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b**3 + b**3)*(-3*b**2 + 19*b**2 + 0*b**2) + 3*b**5 - 4*b**5 + 2*b**5 - 6*b**5 + b**5 + 3*b**5 + b**3 + 6*b**5 + 0*b**3 + 0*b**3.\nAnswer: 21*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246968403?\nAnswer: 3, 11, 19, 20731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 62\/(-5) - (-10)\/25. Let c = q - -37. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 3*x**2 + 4*x - 5. Determine q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 40*x - 35*x + x**2 + 21*x.\nAnswer: x**2 - 52*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 8*y**2 + 31\/2*y.\nAnswer: -(y - 2)*(16*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 4 + 6 - n. Let p(g) = g**2 - 6*g + 6. Suppose 0 = 5*o + 25, -i + 14*o - 12*o + 14 = 0. Let z be p(i). Determine d(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, -5, 5 in descending order.\nAnswer: 21, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103870 and 826540?\nAnswer: 38847380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172 - 0?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 581 = -2031. Suppose 2*d = -2*p - 2*p - i, 136 = -2*p + 2*d. Let x = 83 - p. What is the greatest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -5 (c) 179530\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -5, 0.4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 487 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.414 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(204)*-3 + -4*sqrt(204)*-1)\/(-1*sqrt(972)*3).\nAnswer: 4*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1952 and 108?\nAnswer: 52704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 46. Suppose 0 = 2*h - 6*h - 3*i + 766, -2*h + 376 = 5*i. Let x = -2893\/15 + h. Put x, 0.2, n in descending order.\nAnswer: n, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*k**2*n + 3*k**2 + 5*k*n - 2*k - 184*n + 16 with respect to k.\nAnswer: -46*k*n + 6*k + 5*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2473973 and 1090?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:43 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4063\/1788 - 10\/447. What is the smallest value in d, -1\/2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001814233 rounded to six dps?\nAnswer: 0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 582, -443, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 10. Let p be u(6). Let v(s) = 2*s - 20. Let q be v(7). Let m be 8\/q + (-12)\/(-9). Which is the nearest to m? (a) 0 (b) p (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2613 and -56.6.\nAnswer: 147895.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**22*r)\/r)**(17\/3)*r*r*r\/(r\/(r\/r**(-2\/11))*r)*r*(r\/r**25)\/r assuming r is positive.\nAnswer: r**(3394\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3581 - 3457. What is the remainder when 247 is divided by d?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 267 + 3*w - 267 + 105*w**2 in the form x + o*w + n*w**2 and give n.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*a - a - 838, -r - 219 = -5*a. Let m = 428 + r. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 173212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4713 + 900*r**4 + 4713 + (r + 1 - 1)*(r**2 + 3*r**3 - r**2) + 3*r - 3*r - r**4 + 0*r**4 - r**4 + 2*r**4.\nAnswer: 903*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.51631 hours in seconds?\nAnswer: 207058.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(35)\/(sqrt(70)\/sqrt(10)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**6\/120 + p**5\/15 - 3*p**2\/2 - 3*p. Let i(w) be the first derivative of o(w). Find the third derivative of i(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 80.18635g?\nAnswer: 80186350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1788 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(7\/(-4))*1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - n = 12, -8*y + 30 = -4*y - 5*n. Suppose -1097 = -y*u + 4*l, 5*u - 1082 = -2*l + l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/10)*u**(2\/3)*(u*u\/u**(1\/2))\/(u**(-2\/13)*u))**49 assuming u is positive.\nAnswer: u**(11662\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 4\/(8\/(-6)) - (-9 - -5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -916 - -918. What is the third smallest value in 0.04, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2522730 = -b + 42*b. Round b to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235555193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 130*q**2. Let v(b) = -4*b**2. Calculate v(a(y)).\nAnswer: -67600*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*p = 503*p + 488. Calculate the remainder when p is divided by 68.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(2\/23)*h))**(-7\/9) assuming h is positive.\nAnswer: h**(-49\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 - 5*c**2)*(2*c + 2*c - 3*c) + 996*c**3 + 719*c**3 - 426*c**3.\nAnswer: 1287*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367619 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469732119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1835*m + 7328 = 2064*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5490 + 41481. Is g a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22270203 is divided by 315.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 20?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1662250, -1662384, -1662518, -1662652, -1662786, -1662920?\n\"Answer: -134*w - 1662116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 h when four letters picked without replacement from xhhxahaxaaaaax?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 4*h)*(65 + 864 - 302 + 452 + 601).\nAnswer: 3360*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let t = 11\/283 + -349\/1698. What is the third biggest value in t, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/4 - 0 - -8. Suppose 3*j - s + 3*s = -4, 3*j = 5*s - x. Let q = 9 + j. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/60 - 7*z**4\/24 - z**3\/2 + 14*z**2. Let t be p(7). What are the prime factors of t\/(-2)*(-2340)\/(-54)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(96)\/(sqrt(88)\/(sqrt(11)*3)))\/(sqrt(48)\/(sqrt(32)\/(sqrt(4)*3 - sqrt(4)))))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/140 - (41 - (-77)\/(8085\/(-4080))).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 303707*b**2 - 75*b - 11667822 wrt b.\nAnswer: 607414*b - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -411418 + 411421. Factor 0 + 4\/7*r + 6\/7*r**2 - 2\/7*r**4 + 0*r**s.\nAnswer: -2*r*(r - 2)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10624 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 6) in base 8?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3, -3*v = -4*y + 73. Suppose 0 = 4*j - 40*j + 180. Solve -p + y = -j*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132\/153001 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppmpmmpp. What is prob of picking 1 m and 2 p?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 61. Suppose -37 = -k - z, 2*k + 0*z = b*z + 99. What is the remainder when 164 is divided by k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 817 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - -1. Calculate the smallest common multiple of c and 55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 7*m**5\/50 - 69*m**4\/10 - 8*m**3 + m**2 - 23*m. Factor p(c).\nAnswer: 6*(c - 20)*(7*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -403, -4\/5, 0, 1\/18?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346418 + 346415.99877. Let p = g - -2. What is p rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.5 (c) 3 (d) 67 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1659 = 81. Let h = 636 + q. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 834.\nAnswer: 70\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 47657*d\/2 + 71490.\nAnswer: -(d - 3)*(d + 47660)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04521 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x - 14 + 14 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872410071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - 2. Let k be (-2)\/(14\/r*1). Let q be (3 + 0 + -1)\/(-2). Which is the closest to q? (a) -4 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 + 7*t + 10. Let q be j(-8). Let b = q - 104. Round b to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-20)\/25*2\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116894799 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**7\/147 + b**6\/35 - 3*b**5\/70 + b**4\/42 - 2*b - 2. Factor p(n).\nAnswer: -2*n**2*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*d + 21, -2*d + 4*a - 3*a + 10 = 0. Suppose -151 = -d*j - 52. Does 33 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*r + 1 = 0, 4*l - 3*r + 17 = -10. Let p = -1.1 - -1. What is the nearest to 0.1 in l, 2\/15, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*1)\/sqrt(12))\/(sqrt(108)*-1 - sqrt(108)) + 0.\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1157*s + 2274?\nAnswer: -1157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjhhkhkjjnshjj. What is prob of sequence jj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 0. Let f = u + 0.4. Let c be (-2)\/((-2)\/(4\/18)). Sort c, f, -2 in increasing order.\nAnswer: -2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/71562287 and -2\/397323?\nAnswer: 644060583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 233 from -1.5.\nAnswer: -234.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g + 106 + 20 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4145\/37 + -112. Let o = -7348415\/259 - -28372. Let v = o - y. What is the second biggest value in 0.5, 2, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -31*s - 330. What is y(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*k - 8 - 8 + 16)*(0*k - k + 4*k).\nAnswer: 69*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138760 - 49537 = -3*v - 2*n, 2*v - n - 125522 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -0.132?\nAnswer: 6.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a factor of 1603976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 45. Suppose g = -5*s + 48. Solve 5*v - 2*v = s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let c = -9 - -14.9. Let t = c - 6. What is the nearest to t in h, 0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**9\/24 - q**7\/210 + q**5\/30 + 67*q**3\/6 - 320*q**2. What is the third derivative of w(n) wrt n?\nAnswer: 2520*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 446 - 291. Let d = v + 193. Let z = 2448\/7 - d. What is the common denominator of 23\/6 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 times -88?\nAnswer: -4.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*w = -1103 - 8620 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 + 1 - (-21 - (3 + -12)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10537, 10571, 10689, 10939, 11369, 12027?\n\"Answer: 8*c**3 - 6*c**2 - 4*c + 10539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - j**3 + 2*j**3)*(3 - 2 + 0) + 0*j**3 - 3*j**3 + 2*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 15. Put z, 8, 0 in descending order.\nAnswer: 8, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -w - 4*j - 2, 0 = 5*w - 6*j + 84 - 69 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 0, 38, 114, 234, 404?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/5 + 4566*n**4\/5 - 529956*n**3\/5 + 13735656*n**2\/5 + 146152512*n\/5 = 0.\nAnswer: -8, 0, 66, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/(-6*21\/126)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 18*v**2 - 8*v + 64. Let o(r) = 2*r**2 - r + 8. Calculate -2*f(i) + 17*o(i).\nAnswer: -2*i**2 - i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.105? (a) 3\/10 (b) 0.2 (c) -3\/5 (d) 0 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1945, -23, 9, -4, 0 in decreasing order.\nAnswer: 1945, 9, 4, 0, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctr when three letters picked without replacement from {d: 1, u: 3, t: 3, c: 1, r: 2, h: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098617213 to the power of 1\/3, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3482*s**2 + 3*s - 32. Let w be l(2). Calculate the greatest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3 - 0. Let g = 80309.5 + -80310. Sort g, p, 2\/11, -4.\nAnswer: -4, p, g, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 5*j = -38, -4*j = 4*s - 72. Calculate the highest common factor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*-20701\nAnswer: -57962.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 1 + 1 + (-v - v + 3*v)*(2*v + v + 0*v) - 181 - v**2 + 184 + 3*v**2.\nAnswer: 6*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3112777 is divided by 15721.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - y + 4. Let i be s(0). Suppose 2*x - i*g = -0*x + 52, 4*x - 5*g = 95. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 518546251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*b**3\/9 + 500*b**2\/9 + 520*b\/9 + 112\/9 = 0. Calculate b.\nAnswer: -2\/5, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4900245.6 to the nearest 10000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01267 and 54.\nAnswer: 54.01267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64746 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846102647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122.329 - -122.185662. What is z rounded to three decimal places?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 12*q - 5754. Determine l(70).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 23. Suppose 314 = -s*p - 22. Let h(y) = 66*y**3 - 48*y - 48. Let g(r) = 7*r**3 - 5*r - 5. Calculate p*g(b) + 5*h(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 62. Let u be b(-60). Solve u*l = -4*l + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**3 - 72*p**3 + 41*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195065883 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*t**3 + 2)*(2*t + 3 - 3 - 3 - t + 3 + (0 - 4 + 3)*(3*t - t - t) - 2*t + 4*t - 4*t + t - 1 + 1 + 3*t - 4*t + 3*t - 20*t - 12*t - 9*t).\nAnswer: 120*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 8*n - 324. Suppose 0 = 4*i + 40 + 80. Let c = i + n. Put -1, c, -11 in decreasing order.\nAnswer: -1, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/3))**28)**33 assuming p is positive.\nAnswer: p**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - (24 + -17) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46843193.\nAnswer: 263, 277, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18*b + 2 - 37 + 2 + 5*b**2. Let v be q(-14). Let k = 4749\/4 - v. What is the common denominator of -71\/30 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 1599916?\nAnswer: 1599920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*t - 4*t. Suppose -5*g = -3*b + 49, -3*b + t = -3*g - 24. Suppose -b*h + 462 = -h. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -12, 4*x = 2*z + 2 - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -3, -2, -4 in decreasing order.\nAnswer: -2, -3, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22 + 12 = -2*r, c = -2*r - 22. Let d = r + 10. Let x be d\/(-2)*4\/(-8). What is the closest to x in 4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2492*d**4 - 10*d**3 + 808*d**2 + 2*d wrt d.\nAnswer: 59808*d - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-90) + ((-508)\/(-1440) - 470\/423)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.63 and -163417.\nAnswer: -163413.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 6*h**3 + 3*h**3)*(0*h + 3*h - h) + (-21*h**3 + 64*h**2 - 64*h**2)*(h - h - 4*h)*(1 - 3 - 2).\nAnswer: -338*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3787568.\nAnswer: 2, 236723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*g + 16 = 0, u = 2*u - 2*g + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 5*j**2 - 3*j - 1. Let u be t(4). What is the third derivative of u*o**3 + 2*o**2 + o**3 - o**3 - 5*o**3 wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -115, -137, -161, -187, -215?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90\/(-24))\/((-3)\/36). Let y(x) = x - 1. Let t be y(1). Suppose 3*a - 26 - 64 = t. What is the greatest common divisor of a and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 30908*k**2 - 59721980*k + 59691076.\nAnswer: -4*(k - 3863)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 201 - 165 = -2*s, 5*s - 148 = -6*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*a*u + 10*a - c**3*u + 2*c**3 - c*u wrt u.\nAnswer: -7*a - c**3 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4272*l = 4180*l + 5336 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*a - 11, 2*a = 7*a - n + 7. Let z be 2*(a - 12\/(-8)). Let b be 1*((-7)\/z - -4). Put -0.1, 1\/8, b in decreasing order.\nAnswer: 1\/8, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -132, -175, -256, -387, -580?\n\"Answer: -2*x**3 - 7*x**2 - 8*x - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 5*d**2 - d - 4. Let u be m(-5). Let q(n) = n**2 - n + n**2 + n**2. Let b be q(u). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**3\/3 + 2*z. Let k(s) = 2*s**2 + 54*s + 0*s**2 - 54*s. Determine k(p(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(1 + 5)*-9. Suppose 2 = 4*h - f*h. Suppose 15 = -5*x, h*y + x = 3*x + 24. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4815486 greater than -33708396\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1130 and 967958?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 90*n + 0 - 1.\nAnswer: -90*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 + -2. Suppose 0 = 5*x + 7 + 13. Sort 5, l, x.\nAnswer: x, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 8. Let t be z(-6). Suppose 183 = -7*w + 400. Suppose 0 = -w*p + 4*p - 27. Sort t, 7, p.\nAnswer: p, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*f = -270 - 1206 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3*l = 1075. Calculate the common denominator of 15\/20*l\/45 and 149\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -13 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1940*i - 3*z - 4 = -1938*i, 64*i + 9*z - 46 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/12*2\/(-10). Which is the second smallest value? (a) -3\/2 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3999, -3973, -3927, -3855, -3751, -3609?\n\"Answer: q**3 + 4*q**2 + 7*q - 4011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210 - 254. Let p be (-2)\/3 - (-64)\/(-3). Let x = p - w. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 1 - 7\/2*z**2 + 5*z. Let c(k) = 6*k - 4. Let d(x) = -5*c(x) - 4*n(x). Let g(y) = -3*y**2. What is g(d(r))?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j - 6. Let s(k) = -46*k - 45. Let u(d) = -5*d - 8. Let n(c) = s(c) - 6*u(c). What is y(n(q))?\nAnswer: -112*q + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-22 + (-19 + 22 - -1))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**4 + 4*s**3 + s - 1. Let y(z) = -4506*z**4 + 20*z**3 + 51*z**2 - 3*z - 5. Let l(k) = 5*n(k) - y(k). Find the third derivative of l(r) wrt r.\nAnswer: 107904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1041 - 4436.1.\nAnswer: -5477.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 48 + 42*m)*(260*m**2 + 104*m**2 + 27*m**2 + 217*m**2).\nAnswer: 25536*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 111600, 220600, 329600, 438600?\n\"Answer: 109000*y + 2600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5426 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003983 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 4*j + 43 - 43 + 3*j. Let q(k) = 9*k**2 + 32. Give q(o(n)).\nAnswer: 576*n**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11183*m + 11184*m - l + 8, -6*l - 32 = 4*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.34374 litres in millilitres?\nAnswer: 2343.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20880, 20908, 20952, 21012, 21088, 21180?\nAnswer: 21288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120831270 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2, 4*h - v = 8*h - 18. Suppose -540 = 13*p - 7*p. List the prime factors of p\/(-8) - h\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 1 (c) 33 (d) -2\/3 (e) -0.47 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2758*a + 8283 = 9514 + 40139 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**4 - 14*p - 3. Let x(c) = c**4 - c - 1. Let r(z) = -a(z) + 3*x(z). Find the second derivative of r(w) wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 20*h**2 - 7*h + 4. Let n be z(-8). Suppose 3*a - n = 5*a. What is a rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -979*v + 981*v - 3*h + 6 - 0, 0 = -3*v + 5*h - 7 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*z = 17, -6*j + 5*j = 4*z + 24. What are the prime factors of 14 + (5 + j)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48122464 and 0.1.\nAnswer: 4812246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3530 = 2240. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 1, a: 1}. What is prob of sequence aw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 598340 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7449*m - 7445*m = -5*y - 33, 7*m = 5*y - 44 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 17*a**3\/6 + 13*a**2 + 3*a. Differentiate q(k) wrt k.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and (-4)\/(-16) - ((-508)\/16 - -2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 5*k - 72. Let n be s(-13). Let z = n + -365. Solve -z*x - 2*j = -3, 3*j = 2*x + x + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 - -184. Suppose -4*t + 3 = -5. Which is the nearest to 1\/3? (a) -5 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a9a8a - 5?\nAnswer: a9a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -26. Let t = 32 + l. What is the third derivative of 68*m**6 - 36*m**6 + m**2 - 36*m**6 - 18*m**t wrt m?\nAnswer: -2640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1255*0.11\nAnswer: 0.013805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/3)*v*v**(3\/7)*v assuming v is positive.\nAnswer: v**(79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 3. Let i be y(2). Let b(p) = 3*p - 5. Let k be b(3). Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 h, and 1 i when four letters picked without replacement from {h: 3, o: 2, u: 8, i: 2}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1752 and 1\/50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2824*i**2 - 2824*i**2 - 14*i**3)*(0*i + 3*i - i) as t*i**4 + z*i**2 + a*i**3 + f + x*i and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -8, -8, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 2*x**3 + 2*x**3 + (46 + 83 - 23)*(-3*x + 2 - 2)*(-x**2 + 2*x**2 - 10*x**2).\nAnswer: 2863*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(2\/(-201)*3) is divided by ((-92)\/6)\/((-6)\/9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2802935 years?\nAnswer: 3.363522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t + 71. Let m be p(6). Suppose -3*z + 1195 = m*x - 311, -3*z = 3*x - 1500. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 4*y = -11874 + 11828, 3*h = 5*y - 26 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-756)\/1312 - 22\/451?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11686 and 18.\nAnswer: 105174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 79, 8\/65 in descending order.\nAnswer: 79, 8\/65, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 322*r**2 - 12789*r - 35442.\nAnswer: (r - 358)*(r + 3)*(r + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -754.07 rounded to the nearest integer?\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9843*y = -9820*y - 5 - 294 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 5. Let i be s(-7). Let g = i + -4. What is the units digit of (g + 1)\/(2\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6*q = -25, 22249*q + 6 = 2*b + 22251*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 10*i + 2*w = 9, -5*i - 7 = -4*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -2, -1, 452 in ascending order.\nAnswer: -64, -2, -1, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/68 - -121\/340. Let u be 12\/(-8) - (-37)\/(-2). Let b = u - -20. Sort 0.5, b, r in decreasing order.\nAnswer: 0.5, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*h + 1105*h + 54*h - 308*h + 44*h.\nAnswer: 1547*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 160\/9 + (-3 - 58\/(-18)). Let r be (-4)\/f*3*(-18)\/4. Solve -r*g + 0*g = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + p - 4*p - 17 = 0, -b + 4*p = -19. Which is greater: -1\/11 or b?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {m: 1, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31957432 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 4*x**3 - 100*x**3 + 2*x**3.\nAnswer: -102*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2682.37nm to micrometers.\nAnswer: 2.68237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h + 70. Let b(t) = 4*t - 76. What is 4*b(w) + 3*m(w)?\nAnswer: w - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4236404 at least -4236405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 plus 25?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108923 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318744*q**3 + 286419 with respect to q.\nAnswer: -956232*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*q = 6*u - 25, 0 = -2*u + 5*q + 25. Suppose -3*d + 2*x = 3*x - 29, 2*d + 2*x - 14 = u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2)\/(-6) - 5\/1. Let q(o) = -o**3 + o**2 + 5. Let h be q(0). Sort 0, h, z, 4.\nAnswer: z, 0, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u**2 - 300*u - 64. Give l(25).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8517 + 2078155\/244. Let m = h - 5809\/488. Calculate the common denominator of m and 192\/(-15) + (-2)\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12286, -12366, -12438, -12502?\n\"Answer: 4*n**2 - 92*n - 12198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 8*k**2 - 11*k - 7. Let v be r(-6). Let z(c) = -3*c - 34. Let p be z(v). Suppose -4*d + 104 = 5*l - 1, 3*l - p*d - 63 = 0. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/15120 + s**6\/1440 - s**5\/360 + s**4\/12 + 8*s. Let y(d) be the third derivative of a(d). Let y(i) = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 184, -70, 0.3, -0.02854?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-3 - -10)) + 183. Let h = p - 72. Let a = 112 - h. What is the third smallest value in a, -2\/13, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*i - 966, -69 = -t + 4*i + 190. Find the third derivative of t*u**2 + 243*u**2 + 5*u**3 + 6 - 480*u**2 + 4*u**5 wrt u.\nAnswer: 240*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 191524.6 millilitres?\nAnswer: 191.5246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 4 (c) 0.1 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30653000 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/3 (b) -3\/5 (c) 65\/2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7553469 a multiple of 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.92129 and -0.01.\nAnswer: -0.0092129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/6*(-10)\/(-125). Let r be 2\/5 + 334\/(-885). Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(-10 - 230*y - 256*y + 10)*(3 - 4 + 8)*(3*y + 1 - 1) in the form w*y**2 + f*y + p and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4 - (-2 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 0.58, 0, 0.4.\nAnswer: -43, 0, 0.4, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + 3)*((-48)\/(-18))\/(8\/60). Let q be 11\/(2\/(1*10)). Calculate the highest common divisor of q and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979 at least as big as 4489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*o + 4*m - 54 = 281*o, o - 32 = -42*m for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 21*f + 160. Calculate h(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*n**2 + 3*n**2 + 4*n**2 + (2 - 2 + 2*n)*(-4*n - n + 0*n) + 0*n + n**2 + 0*n + 5 - 3*n**2 + 4*n - 7*n**2 + 9*n**2.\nAnswer: -6*n**2 + 4*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/20 - (-164)\/(-10). Let h = -17 - k. Which is smaller: -1\/21 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*((-1*sqrt(608) - sqrt(608)) + sqrt(608)))\/(-2*sqrt(2178) - sqrt(2178) - sqrt(18)))**2.\nAnswer: 16*sqrt(19)\/17 + 24625\/2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 450303 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 42*b + 68, -d + 18*b - 16 = 22*b for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 + 5*p**3\/6 + 5*p**2 - 12*p. What is the lowest common multiple of x(5) and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 18, 67, 144, 249?\n\"Answer: 14*h**2 - 21*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*z + z + 3*b, -2*b + 12 = z. Let c be (-1)\/z - (-369)\/324. What is r in -c*r**2 - 40\/9*r**3 + 0*r - 14\/9*r**5 + 0 - 46\/9*r**4 = 0?\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(325) + -2)**2*6 - 5*(-3 + (sqrt(39)\/(sqrt(3)*-1 - sqrt(3)))**2).\nAnswer: -480*sqrt(13) + 31579\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12491*k - 5363*k - 20820*k + 2387*k - 93*k in the form w*k + s and give w.\nAnswer: -36380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 14*y**2 - 14*y - 11. Suppose 0 = 5*q - m - 80, q + q - 45 = 3*m. Let s be l(q). Solve -21 = -5*r + 3*g, -g - 1 = -r + s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + l + 5. Let r be u(-5). Let m be -4*1 - r\/(-15). Which is the smallest value? (a) m (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/15 - (-4)\/(-30). Which is smaller: w or -5\/38?\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -o - s, 8*s = 7*s - 2. Is 1\/2 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303 + -465. What is the smallest value in -2\/9, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)\/(m*m*m**(-2)))\/(m**(2\/7)*m)**(-2\/11))\/((m*m**(-7))\/m**(-2\/15)*m**(2\/7)*m*m**3) assuming m is positive.\nAnswer: m**(2426\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27968836 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/7))**36*(t*t*t\/(t*(t*t\/(t*t**(-2\/7)*t*t))\/t))\/t**1)**(-3\/2) assuming t is positive.\nAnswer: t**(-597\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30890 is divided by 867.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {v: 1, b: 1, p: 1, d: 2, q: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -57. Suppose 40*q = r*q - 83. Let f = q - -107. Calculate the smallest common multiple of 21 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*m - 936*m - 255*m - 1068*m - 121800 = 0 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -542 - -585?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1437*w - 13742 + 5120 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2123, 9898, 22875, 41066, 64483, 93138, 127043, 166210?\nAnswer: 210651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 1 + 1 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.772781 - -10.7157. What is k rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020353 + 765?\nAnswer: 765.020353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + 3)**2 + 5 + 2.\nAnswer: 6*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and -110.\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.11.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.8. Let i = 0.07 - -0.33. Which is the nearest to -2\/3? (a) q (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 149057063 to the nearest ten thousand.\nAnswer: 149060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 834541369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7))**(-3\/38))**(30\/7) assuming w is positive.\nAnswer: w**(-90\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 183*f**2 + 12*f + 8. Let y(m) = m**3 - 48*m**2 + 3*m + 2. Calculate 2*w(c) - 9*y(c).\nAnswer: -c**3 + 66*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956954.03 minutes in weeks?\nAnswer: 491.7613125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w - 1. Let i(k) = -6*k**2 + 5. Let y(a) = i(a) + 5*u(a). Suppose 5*p - 1 = 24. Let o = p - 1. Calculate y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -654.39335 + 636.394. Let s = v - -18. Round s to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 66, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532507 is divided by 2514.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -221, -252, -283?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m*q**3*v - 2*m*q**3 + 4*m*q*v + 16*m*q + m*v + q**3*v + 27*q**3 - 13 wrt v.\nAnswer: -6*m*q**3 + 4*m*q + m + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/5248 - 20983\/15744. Which is the biggest value? (a) 1\/3 (b) 0 (c) -0.48 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 900*m**2 - m - 9*m + 15 - 905*m**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9196? (a) 2 (b) -0.4 (c) 4 (d) 0.4 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-37)\/h*h*h*h**(1\/3))**(-40) assuming h is positive.\nAnswer: h**(4280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99601268 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 119798815.1 to the nearest 100000.\nAnswer: 119800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7184\/(-240) - -31) + (-2)\/5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4498083, -8996186, -13494289?\n\"Answer: -4498103*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d + 2. Let n be j(2). Let a be 0\/(-2) - 2\/(-6). Let r = 2\/104703 + 104687\/837624. Sort r, n, a in increasing order.\nAnswer: n, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c\/(c*c**0))\/(c**(-9)*c**(1\/3)) assuming c is positive.\nAnswer: c**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 3 (c) -1\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 23917\nAnswer: 215253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 12:33 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 10, 0*c + 2*j = c - 182. Suppose -24*i**5 - 177*i - 7*i**5 + 144 + c*i**4 - 140*i**2 + 561*i - 564*i**3 + 15*i**5 = 0. Calculate i.\nAnswer: -1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-546)*6\/4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/44 + (-720)\/(-2376)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 11*u + 8. Let n(z) = -z**2 + 6*z + 4. Let d(w) = -7*n(w) + 4*y(w). Let m be d(3). Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62866 = -83*h + 42046. What is the greatest common factor of h and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614483?\nAnswer: 3, 13, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2 - -1) + 17. Suppose 2*s = h + 362. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from {w: 8, o: 1, l: 3, d: 4, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose -5 = -w, 4*w - 39 = -2*a - 9. Let g = -9 + 11. Solve -3*d + g*d - a = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1514400 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfjjq. What is prob of sequence fjq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:24 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -416299 to the nearest one thousand.\nAnswer: -416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = 2*t - m, -6 = 2*t - 2*m. Let k = t + 2. Let r be (-9)\/(-6)*1\/(-3). Put r, k, 0 in descending order.\nAnswer: 0, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*v**3*x**3 + 24*v**3*x**2 + 8*v**2*x**3 + 3*v**2*x**2 wrt x.\nAnswer: -84*v**3 + 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 8*k + 13. Let w be y(9). Let n = w + 31. Let u = -17 + n. What is the remainder when 52 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 - 56. Let l = r - 19. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 24686*q**2\/3 - 3242904*q.\nAnswer: q*(q - 25074)*(q + 388)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/12*36\/(-60). Sort 0.3, -3, a in decreasing order.\nAnswer: 0.3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018817 to 7 dps.\nAnswer: 0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + (-5*(sqrt(85) - (sqrt(85) + sqrt(85)*-1)))\/((sqrt(150)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: -40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {b: 2, z: 2, g: 1, v: 1, m: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874805767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-17)*6\/2*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571101878?\nAnswer: 2, 4051, 70489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*n + 1119, -5*t + 12*n - 9*n = -1865. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m*m\/((m**(-7)\/m)\/m*m))\/m)*m)\/(m**(-2\/7)*m*m*m)*(((m*m\/((m*m**(-4\/9))\/m))\/m)\/m)\/((m**(-4)\/m*m)\/m))**(-21) assuming m is positive.\nAnswer: m**(332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 258129389 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195005 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -7.04.\nAnswer: -6.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10.41, -48\/11, 0.2, -0.4.\nAnswer: -10.41, -48\/11, -3, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1138, 155.22, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-860)*(11\/66)\/((-20)\/(-400)).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.26147+0\nAnswer: -1.26147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -67 - ((-42)\/(-7))\/(9\/6). Let p = -69 - b. Solve -5*o - 4*u + 20 = u, 0 = 5*o - p*u - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*i + 2*t, 0 = -3*i + 2*t - 3*t + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 203 - 25669 = -2*l, 5*c - 38822 = -3*l. Is l\/6 - 24\/36 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 233211 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 - 4*f**2 + 19*f - 14. Let s(o) = -170*o + 11*o**2 + 5*o**3 + 24*o**2 + 5*o**3 + 125 + 35*o**3. Let d(b) = -35*i(b) - 4*s(b). Factor d(t).\nAnswer: -5*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -588*c - 305. Is v(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 + 936808*d + 38415852 = 0.\nAnswer: -41, 234243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -750, -789, -832, -885, -954, -1045, -1164?\n\"Answer: -l**3 + 4*l**2 - 44*l - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8329*0.5.\nAnswer: -1.41645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -34. Let f(s) = -s + 7. Let u be f(o). What is the tens digit of (-16 + 4)\/u + 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 20*b + 5. Let x be c(-6). Let w be (13 - x)*(-3 + 2). Solve -w*l - 15 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaeaaymeaieeaaiaaaa. Give prob of picking 1 a and 1 y.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 6. Let v be o(-11). Let z(l) = l**3 - l**2 + 8*l - 4. Let k be z(v). Suppose 6*n - 2*n + k = 0. Round n to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 3*p - 3*p)*(2 - 1 - 4) - 9*p - 8*p + 9*p - 220 + p + 170 - 132 as z + n*p and give z.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)\/sqrt(40))\/(sqrt(90) + -2*sqrt(90)))**2*-3.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/60 + 7*l**4\/12 - 4*l**3 - 8*l**2. Let z be d(11). Let q(p) = 8*p + 6*p + z*p + 3*p. Let i(c) = -2*c. What is i(q(x))?\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -13. Suppose o*m = v + 10, -m = m - v - 4. Suppose 5*u + f = 4*u, -u - 4*f = 15. Solve 0 = 2*j - m*a + u*a - 23, a - 21 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 2:19 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 132109150.\nAnswer: 264218300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -49*b**2 + 2*b + 4. Let i be k(5). What are the prime factors of (-1)\/4 + i\/(-28)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 257, 528, 799, 1070, 1341?\n\"Answer: 271*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 + 8*s**2 + 2*s - 8 = 0. What is s?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9660, 4, -5\/2, -5 in descending order.\nAnswer: 4, -5\/2, -5, -9660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -711021, -711026, -711035, -711048?\n\"Answer: -2*z**2 + z - 711020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4\/5 - 9807*p**3\/5 + 5874477*p**2\/5 - 23292273*p\/5 - 5835312 = 0.\nAnswer: -1, 5, 784, 2481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cee when three letters picked without replacement from qcqereqccecccq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008)*2*-3*2 - (1*sqrt(112)*-2 - (-4 + sqrt(112) + 2*sqrt(112))))**2.\nAnswer: 992*sqrt(7) + 107648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 686, 1342, 1996, 2648, 3298?\n\"Answer: -m**2 + 659*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196945 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + -21313410430?\nAnswer: -21313410340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*20974.\nAnswer: -10487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -62*k + 57. Let g be b(1). Suppose 0 = x - l + 4, 0 = -x - 3*x + 2*l - 16. What is the nearest to 1\/2 in x, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/845? (a) 3 (b) 1\/4 (c) -1\/3 (d) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4, 3*k - 5 = -2*h + 2. Let c(z) = 8*z**2 - z - 4. Let f be c(4). Suppose -5*t - 3*t = -f. Solve -7*r = -h*r + t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**3 + p**3 + 3*p**3 + (2*p + 2 - 2)*(-3*p + 3*p - p**2) + (4*p - 4*p + 2*p**3)*(-5 + 4 + 2) + 9*p**3 - 17 + 17.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(0 - -3 - 1) + 8. Solve -4 = -p*m + m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -4, -287 in descending order.\nAnswer: 2, 1, -4, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - t**2 + 0*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 121 - 174. Let v = 175 - 163. What is the remainder when w is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h*h)\/h**(-3)*h**(-1\/9)\/h**7 assuming h is positive.\nAnswer: h**(-73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 642*c**2 + 159*c + 297634 wrt c?\nAnswer: 1284*c + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14152, 14101, 14030, 13939, 13828?\nAnswer: 13697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 15*c + 2107. Give a(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/30 - 645*n**2. Let x(b) be the first derivative of b**2\/2 + 1. Calculate v(x(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*z**2 + 1)*(2 - 4 + 16).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2*u + u**5 + (-2*u**3 + 0*u**3 + 9*u**3)*(-2*u**2 + 0*u**2 - u**2) - 3*u**5 + 2*u**5 - 4*u**5.\nAnswer: -25*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1030541331 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12780 + 153253\/12. What is the common denominator of u and (-2 + (-7)\/(-3))*67?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/413 and 13\/1469097.\nAnswer: 86676723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2. Let d(t) = t**2 - 3*t + 3. Let b(m) = 6*m**2 + 9*m + 18 - 1 - 26*m. Let g(w) = 6*b(w) - 34*d(w). Determine x(g(h)).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46 and -26618014?\nAnswer: 12244286.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyxrxtxnxnaan. Give prob of picking 1 y and 1 a.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*p = -32, -2*p = r - 2*r + 2. Let b be (r\/(-9))\/((-5)\/1395). Let u be b\/(-24) - (-6)\/(-8). Solve -5*o = u - 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 428 - 429. Sort 21, v, -0.02 in decreasing order.\nAnswer: 21, -0.02, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.073845g to micrograms.\nAnswer: 6073845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 4*k, -k = x - 101. Let g = x + -67. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*h + 16, -7*f + 5*f = 0. Let k = 533\/35 + -74\/5. What is the biggest value in h, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/60 + s**4\/24 - 3*s**2\/2 + 2*s. Let y(i) be the first derivative of l(i). What is the second derivative of y(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + 2*q + 1. Suppose -3*h = 2*h + 10. What is a(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177\/2 + -89. What is the nearest to 2 in -0.1, -2, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c - 21. Suppose -c = -6*f + 5*f. Solve 0*j + 6*j + 4*j**2 - f*j + 8*j**4 + 12*j**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 1, -1\/4, 0.07, -351, 2\/63?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23195.38ml?\nAnswer: 23.19538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1529, 12255, 41343, 97967, 191301, 330519, 524795?\nAnswer: 783303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: (1*9\/(-4))\/((45\/8)\/15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 2, k: 2, r: 1, w: 1, e: 2, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -10\/7, 0.8426?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 437.\nAnswer: 15\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530167269.\nAnswer: 3, 41, 1597, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -a3?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (389 - 389 + 32*c)*(0*c**3 - 4*c**3 + 2*c**3) + (-4*c**3 + 2*c**4 + 4*c**3)*(-2 - 4 + 5) + c**4 - 3*c**4 + 3*c**4.\nAnswer: -65*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -173*d. Let v(a) = -2*a. Give w(v(t)).\nAnswer: 346*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1227.676 and -8.1.\nAnswer: -9944.1756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*y - 5. Suppose 0 = 4*r + f - 0*f - 12, -2*r + f = -6. Which is greater: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1943*z**2 + 1947*z**2 - z - 46*z - 15*z**3 + 47*z.\nAnswer: -15*z**3 + 3890*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3649 + -3649. Which is smaller: 3\/1096 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10772 = -4*b, 2953 = 3*b - 4*c - 5095. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 300.0704 + -300. Round r to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - -9)*2\/8. Let g be (5\/(30\/(-16)))\/((-2)\/3). Let o be (4\/3)\/((-1)\/(-6)*g). Solve j = o*p - 0 - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 2, v: 1, q: 3}. Give prob of sequence xzv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -420.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 18*w**2 + 0 + 0.\nAnswer: -18*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255415249 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {d: 6, a: 2, m: 6, c: 1, g: 2, o: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1537 + -1536. Let z(l) = 5*l - 5. Let s be z(-2). Sort s, k, -4.\nAnswer: s, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*1*(-69)\/23\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 82598*q**2\/11 + 165202*q\/11 - 82602\/11.\nAnswer: -2*(q - 1)**2*(q + 41301)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 468\/28 - (-2)\/7. Solve -m = -5*a + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 + 7. Let a(c) = -c**3 + 4*c**2 - 3*c + 6. Let l be a(4). Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 752 and 6523036.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123504 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/72 - 5\/(-20)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 66?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 4992 - 5036 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m - 7. Let h be y(7). Are h and 29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c**3 + 3*c**2 + 3*c - 3. Let g(y) = 119*y**3 - 35*y**2 - 35*y + 35. Suppose 6*k = -294 + 84. What is k*m(f) - 3*g(f)?\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 4*a**2 + 5*a - 1. Determine w(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 36*b - 102 = 5*b. Let w(h) be the second derivative of 0*h**3 + 0 + 0*h**b + 5*h + 1\/4*h**4. Let l(u) = -7*u**2. What is w(l(p))?\nAnswer: 147*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78543 (base 10) to base 14.\nAnswer: -208a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -b + 2*j, 4*j + 13 + 3 = 0. Suppose 5*u - 1002 = -2*v, -2*v - b*u + 1980 = 2*v. Let q = v + -861. What is q rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9)\/(n\/(n\/(n*n\/(n*n**(-1\/15)*n*n*n*n*n)))*n))**(-4) assuming n is positive.\nAnswer: n**(364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1020383 - -2176383. Round q to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 4. Let m = -4 - x. What is the third biggest value in -5, -1, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7657416.\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 102*p - 43. Let h be o(-15). Let n = 3522 + h. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 4)*7\/1. Suppose 2*t = t - p. Let b = t + 8. Which is smaller: b or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 41*f**2 - 108*f - 4649. Calculate v(-41).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen tenths of a millisecond?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 3*f**4 + 4*f**3 - 5*f**4)*(1400 - 1400 - 112*f)*(2 - 5 + 2).\nAnswer: -224*f**5 + 560*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.92456ml to litres.\nAnswer: 0.04292456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22071585.\nAnswer: 3, 5, 53, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/72*6 - 26\/60. Let y = 1.2 + -0.2. Let f be 78\/(-21) + -2 + (-60)\/(-35). What is the fourth biggest value in -0.2, g, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2727\/7 + -389. Determine a so that i - 2\/7*a - 2\/7*a**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8 = 2*w + 6*c, -3*w - 8 = c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -334 (base 11) to base 14\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 65. Let y be f(3). Are 67 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2728*j**5 + 3*j**4 + 2*j**2 + 636?\nAnswer: 163680*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in minutes?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-391)\/72 + (8 - 420\/54) and 28\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -2) + -6 + 7 - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*j - 25. Let x be (-11)\/165*(-2 + 8). What is the biggest value in x, 2\/3, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(1\/4)*x))**29*x**7*x*x**4*x assuming x is positive.\nAnswer: x**(139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 534898064 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v + v)*(2759 - 14477 - 15099 - 7358 + 2092 - 770).\nAnswer: 32853*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78667405 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2, -0.29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 79*z - 3. Let f be i(-2). Let n = f - -292. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*-2*4\/(-24). Let m be -9*1*(-3)\/(-9). Put m, -5, b in increasing order.\nAnswer: -5, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 5*u - 5*z + 14, -u = 3*z - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 107, -1, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -0.7 (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2 + 4. Does 5 divide 342\/3*(16\/u)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 70. What is the remainder when r is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:40 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from efyyafpge?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -767, -1464, -2415, -3608, -5031, -6672?\nAnswer: -8519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**8\/20160 + r**7\/840 + 7*r**6\/720 + 47*r**5\/60 + r**2 - 11*r. Let g(t) be the third derivative of q(t). What is g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.273 + -4.119. Let z = 4.5 + s. Let w = z - 0.107873. What is w rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283\/917 + -3\/131. Suppose 0 = -5*k + 3*k - 4*d - 2, k = 4*d - 1. Let p be k\/2 + 10\/(-4). Which is the third biggest value? (a) p (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1417, 51, -3, 3, -1 in ascending order.\nAnswer: -3, -1, 3, 4, 51, 1417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.9709 * 0.0509.\nAnswer: -2.03451881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27428745*c**2 - 10*c**3 - 27428777*c**2 + 54857522*c**2.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*11*5\/(2 + 3). Let h be -1 + -1 + 25\/x. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1021 = -4*m + 1388, 0 = -2*m - 6. Let w = p + 1414. What are the prime factors of w?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143646907 divided by -143646907.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**4\/4 + 2*w**3 - 3*w**2\/2 + 4*w + 24. Calculate r(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 17*q + 20. Let o be h(-18). Let b be ((-55)\/(-15) - o)*(-1 + -2). Sort -3, b, -19 in descending order.\nAnswer: -3, b, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + 503. Let z be j\/8 + (-12)\/16. Suppose 4*q = -z + 427. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 186730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50150717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/93 and 37\/806?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1549 - 141 = 64*z. Let w = 12 - 30. Let v = z + w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -867, -2953, -7017, -13719, -23719, -37677?\nAnswer: -56253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 1 + 32 + 121?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27821\/22 - 662647\/198. Let z = r - -21581\/72. Let u = z - -1772. Find the common denominator of u and -87\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - 2.98. Let y = -3 - u. Let a = -2\/19083 + 38176\/95415. What is the fourth smallest value in 67, a, y, 1\/3?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 475136 divided by 14848\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7692*m - 1099. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148997043 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, x: 2, z: 1, t: 1, p: 1}. Give prob of sequence zxp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -12*l - 5*r - 210, -5*l + 350 = -2*r. Suppose 4*c = 39*c - l. Calculate the lowest common multiple of c and 53.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/37, -1\/3, 9, -2\/3.\nAnswer: -2\/3, -1\/3, -3\/37, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0174515 rounded to 4 decimal places?\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - u + 3*u)*(4 + 0 - 1).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(1088) + sqrt(17))**2.\nAnswer: -36*sqrt(17) + 1384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 - 1705*d - 76883. What is q(-74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * 3023.49.\nAnswer: 665.1678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 80*p**3 - 5. Let w(a) = a**3 - 1. Give k(x) - 5*w(x).\nAnswer: 75*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1198963 divided by 41.\nAnswer: -29243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(931)*1)**2 + -1 + (2*sqrt(931))**2 + -2 + -2*sqrt(931)*1 + -5.\nAnswer: -14*sqrt(19) + 4647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2191 and -43\/6.\nAnswer: 13146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 + 2*i**2 + 4*i + 5. Let v be (1 - (-1 - -1)) + 2. Let r(a) = 6*a**3 + v*a**2 - 3*a + 15*a - 6*a + 8. What is -8*p(z) + 5*r(z)?\nAnswer: -2*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/((h*h\/(h**(3\/7)*h)*h*h*h)\/h*h)*h**1*h*h**(-7\/5)*h assuming h is positive.\nAnswer: h**(-209\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h*h*h)**(8\/3)*h**(-8)\/(h\/(h**(2\/15)*h)) assuming h is positive.\nAnswer: h**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*j = -5 - 7, -3*j = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8166 + 14021. What are the prime factors of t?\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334 + 35*b + 22 + 312.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = -4*k + 1189. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2304410210 - 10?\nAnswer: 2304410200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (204\/36 + -9)*6\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 5, 51, 44.5?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154100 (base 7) to base 2.\nAnswer: -111011000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1936)\/207 - 10\/(-45). Let f = y + 2813\/230. Let w = -61 - -89. Calculate the common denominator of w and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, k: 1, g: 1, v: 4}. Give prob of sequence ggk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*(3\/12)\/(5\/20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c + 40*c**3 + 41*c**4 + 40*c**4 - 124*c**4 + 41*c**4 wrt c?\nAnswer: -24*c**2 + 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5196\/7399 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -2218?\nAnswer: -221b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 14 = 5*b + 4*c, 2*c = 5*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183130499\/1122 - -163218. Find the common denominator of 74\/255 and w.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 16*x**2 + 18*x - 12. Let v be m(15). Let o be (60\/18)\/(8\/396). Calculate the greatest common divisor of v and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 57588*t - 10381644.\nAnswer: -3*(t + 182)*(t + 19014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -526649 and -526949 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9983 - -10195. Calculate the greatest common divisor of a and 16006.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(12*(-24)\/32).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 18*t**2 + 50*t + 5. Let i be j(15). Suppose 3*v = -2*b - v + i, 0 = -b - 5*v + 28. What is the greatest common divisor of 216 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Let w be 1\/b + 310\/8. Let o(c) = -7*c**3 + 25*c**2. Let d(f) = f**3 - 4*f**2. Let h(s) = w*d(s) + 6*o(s). Suppose h(k) = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230422902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/8 + k**5\/60 - 2*k**3\/3 - 12*k**2 + 4*k - 2. Let p(h) = 29*h**3 + 2*h**2 - 9. Give 3*p(b) - 7*w(b).\nAnswer: -18*b**3 - b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4754 - -8639. Suppose k = 19*b - 4*b. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239599183.\nAnswer: 277, 864979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5032*z**3 - 11*z**2 - 3*z + 1764771?\nAnswer: -15096*z**2 - 22*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 49809*p - p**2 + 49775*p.\nAnswer: 2*p**2 - 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 56*k + 540 + 158 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 2, x: 6, m: 4, g: 4, o: 2}. What is prob of sequence mkmx?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.14 (b) 1\/2 (c) -2\/23 (d) -1\/3 (e) 0.8 (f) 1 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbt. What is prob of sequence br?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 0.04 (c) 1.1 (d) 1\/22 (e) -41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Let v(u) = -29*u**2 + 1 + 31*u**2 + c*u - 3*u. Does 5 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1)*((-75)\/10)\/(-5). Which is the smallest value? (a) 5 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123203101 (base 4) to base 14\nAnswer: 2d1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 2, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -110.3 (b) -2 (c) -3 (d) -5 (e) 4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3024917107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816 and 2848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3908\/737 or -6?\nAnswer: -3908\/737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*w - 23. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -22*t**3 - 13*t**2 + 4. Let v(y) = 15*y**3 + 9*y**2 - 3. What is 5*p(o) + 7*v(o)?\nAnswer: -5*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1461? (a) -112 (b) -5 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.55 or -192?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 22 + 2*x - 26 + x in the form o*x + d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -32.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -26*w**6\/3 - 1231*w**3\/3 - 1137. What is the third derivative of b(z) wrt z?\nAnswer: -3120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 - (-2 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**5 + 595480*u**4 + 4168140*u**3 + 2977190*u**2 - 4168145*u - 3572670 = 0.\nAnswer: -119089, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39555*d = -39580*d - 250 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -346a6?\nAnswer: -346a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7)\/b)**(2\/7))**(-3\/17)*b**(-6)\/(b*b\/(b*b*b**1))*b**(-2\/9)\/b**5 assuming b is positive.\nAnswer: b**(-76366\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6524 and 308.\nAnswer: 71764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000416075 rounded to six decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.841 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0728 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 668645160 and 480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 556614 and 1926?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvxvxfxxxfxv. What is prob of picking 1 w and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**4 - 148965*b**3 + 1109006960*b**2 + 7771542000*b - 8880400000 = 0 for b.\nAnswer: -8, 1, 14900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7*(-6)\/4. Let f = 43634 - 43633. Which is the closest to f? (a) -1 (b) -0.4 (c) -2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s + 60. Calculate the least common multiple of 75\/s + (-2)\/(-8) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-4 + 2)) + 21. Calculate the remainder when 414 - (3 + n\/6*-2) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**3 - 157 - 9*q**3 - q - 4*q**2 - 5*q**3 + 23*q**3 in the form u*q**3 + k*q**2 + m + v*q and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 481\/2836?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5672\/18 - -1) + 0\/6. Let a = 965\/3 - m. Find the common denominator of a and 91\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -0.01 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 335056 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 45. Let z = y + 50. What is the remainder when 27 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3966 or -3799?\nAnswer: -3799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 42*d**2 - 56. Let g(w) = 2*w**2 - w. Let q(a) = 2*g(a) + n(a). What is the lowest common multiple of q(-38) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 65*d**2 - 257*d - 1317. What is u(69)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -22*o + 2. What is j(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515996655.\nAnswer: 3, 5, 3517, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37140, 72780, 108420, 144060?\nAnswer: 179700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 + (-5 - -3) + 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29958 - 29957.8. Which is the closest to -1\/3? (a) z (b) -2 (c) -3 (d) -9\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in 5.8, -2, 0, 5, 3, 2475?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.1, 2\/5, 0 in increasing order.\nAnswer: -1.1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**7*k*k*k*k\/((k**(5\/3)\/k*k)\/k)*(k**(-1\/2)\/k*k)**(-12) assuming k is positive.\nAnswer: k**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/(16\/14)*66\/(-154)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/38 and -103\/2888.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**3 - 2*n**2 + 2*n - 1. Let t be l(1). Suppose t*y + 4*h - 260 = 0, 3*y - y = -h + 133. What is the highest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 4)*(-2 - 6 + 1) + (-9 - 9 + 11)*(-1 - 3 + 2))*(-v + 5*v + 2*v**2 - 2*v + 4) to the form o*v**2 + f*v + x and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-80)\/3 - 14\/(-21)). Suppose p*j = 10*j + 798. What is the highest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 72.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -389 - -389. Put 46, -4, w in ascending order.\nAnswer: -4, w, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-50) + 2201\/5?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*d**2 - 1\/2*d + 0 = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3611802*c = 2*b - 3611806*c - 26, 0 = 853*c + 3412 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(-9) + 12)*(-3 + 15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (3\/6)\/1*-10. Let u(m) = -m - 1 + 0*m + 0*m. Let a(i) = 0 + 1 + 3 + 0 + 5*i. What is d*u(z) - a(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10466*r + 20938. Give o(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/72 - 20*a**3\/9 + 89*a**2. Factor m(n).\nAnswer: 5*(n - 4)*(n + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:05 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30643234331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/60 - t**5\/15 + 7*t**4\/12 - 4*t**3\/3 - 46*t**2. Factor z(u).\nAnswer: -2*(u - 1)**2*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341300 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1145\/687)\/((-2)\/6) - (3 + -12). Let w be 20\/6 + 4\/(-12). Let b(v) = -7*v**2 - 3. Let z(d) = 8*d**2 + 4. Calculate i*b(l) + w*z(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p**2 + p)*(0*p - p - p) - 2*p**3 - p**3 + 5*p**3 + 5*p**3 - 214*p**2 + 218*p**2 - 1 - 10*p**3.\nAnswer: p**3 + 4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -7. Suppose -u + 11 + a = 0. Suppose -34 = -3*s + p - 0*p, -s + 4*p = -u. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/28318626 and 55\/449502.\nAnswer: 28318626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3023061 divided by -8\nAnswer: -3023061\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*4\/136*4\/(4 + 0)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 32. What is the smallest common multiple of 29\/(435\/(-10)) + 22\/6 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1330253 + -4?\nAnswer: 1330245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.022 less than -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 328 - 327.999999376. What is g rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -19, 0.14, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/(sqrt(12)\/sqrt(3)))**2 - sqrt(17) - sqrt(170)\/(sqrt(90) - sqrt(10) - sqrt(10))) + 1*(sqrt(17) + (1*sqrt(204))\/sqrt(12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12, -2*y = 3*u - 5 - 1. Let o = 236 + -236. Suppose t - 2*t + 4*j + 12 = o, t + 4*j - 28 = u. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12076 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + a + 2*a)*(-1 - 10 - 6) in the form o + p*a and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 5 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 less than 15?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*t + 4*x - 19, x = -5*t. Which is the closest to -3? (a) t (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17208 - x**2 + 17208.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 288521 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2\/4 + (-1859)\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 + -1 - 1. Let j(z) be the second derivative of 0*z**3 - z - 1\/12*z**4 + g + 0*z**2. Let r(a) = -2*a**2. Determine j(r(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m - 39. Let p be d(-6). Differentiate p - 6 + 1 + 71*w**2 wrt w.\nAnswer: 142*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/((-22)\/4) - 10) + -5)*1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, v: 4, d: 1, x: 1}. What is prob of picking 1 x and 2 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -8*s**2 + 1\/90*s**5 + 0*s**3 + 0 - 1\/315*s**7 - 1\/180*s**6 + 1\/504*s**8 + 0*s + 0*s**4. Factor i(k).\nAnswer: 2*k**2*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, u: 12, g: 3}. Give prob of sequence ge.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4808512 is divided by 2480?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at least as big as -330180\/5569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 3\/1 - -2. Suppose r - s = 13. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - p - 16. Let r(x) = x + 1. Let y be r(p). Solve 2*z + 2*z = 4*k + 32, 0 = -4*k - y*z + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -15. Let r(g) = 9*g + 1. Let x(n) = -7*n + 17 + 11*n - 29 + 13. Determine k*r(j) + 5*x(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.2? (a) -1\/3 (b) 3 (c) -1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - -4.88. Let g = -8 - x. Is g != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000079 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -56128605 divided by -3741907\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**2 - 35*a - 39. Is n(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)\/((-39)\/78).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 1. Let l be r(-2). What is the common denominator of (-9)\/(-14)*(-6 + l) and 7\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (6\/(-10) - 4\/10). What is the smallest value in -4, n, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*p = 3*p + 56, -l + 21 = 2*p. Suppose -l*n + 6146 = -17*n. List the prime factors of n.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5 = -2*m, 2*p + 2*m + 6 = 0. Solve 5*w = p*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -9\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.44602 * 0.13\nAnswer: 0.4479826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 - -91. Let l = 0.1 + -0.1. Let j = a + l. What is the closest to 0 in j, 3, -4\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 3*x - 7. Let c be g(-2). Find the first derivative of c*s**2 - s + 25 + 4*s - 3*s wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 - 3*w**3 + 5*w - 5*w + 4.\nAnswer: 2*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1938345\/4 - -503889. Let j = 19422 - w. Let k = -122 + j. Is -4 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.5 - 13.9. Let i = -11.52 + v. Let l = i - 0.08. Which is the smallest value? (a) -4 (b) -0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -4187140.\nAnswer: -16748560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/517 - -1918\/12925. Let t = -61\/225 + x. Let j = 0.05 - -1.95. Put t, -2, j in increasing order.\nAnswer: -2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 848 - 788.8. Let u = r - 59.21277. Round u to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q + 2*c - 927, 4*q - 744 = -4*c. Suppose 0*i + i = 3*t - q, -175 = -3*t - i. Let f = t + -31. What is the smallest common multiple of 5 and f?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 7. What is x(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -16. Let n be (3*(-2 + c))\/1. Solve 0 = -6*a + n*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) -1\/30 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1078, -2775, -5712, -10513, -17802, -28203, -42340, -60837?\nAnswer: -84318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 9. Let w(r) = 7*r - 10. Let f = 96 + -101. Calculate f*x(t) - 4*w(t).\nAnswer: 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2 + 3) + 17. Suppose -2*i - 3*p = -39 + 8, -4*i + 71 = 3*p. Factor -30*t**4 + 9*t**5 + 24*t**3 + f*t**3 + t + 3*t - 3*t**3 - i*t**2.\nAnswer: t*(t - 1)**2*(3*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -793\nAnswer: -25376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6192 - 6181. Solve -n - 19 = 5*w + d, 3*n + 5*w = -40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 23*w**2 - 177*w - 8. Let x(f) = -15*f**2 + 118*f + 5. Calculate 5*m(v) + 8*x(v).\nAnswer: -5*v**2 + 59*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -889bc (base 14) to base 15.\nAnswer: -6820a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112574, 225190, 337806, 450422, 563038, 675654?\nAnswer: 788270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 11*d**3 + d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102716793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/49)*v*(v*v**(-2\/7))\/v assuming v is positive.\nAnswer: v**(33\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/68 + -3\/68. Let i(d) = 5*d**2 - 1. Let r be i(-1). Suppose -c - 5*u - 17 + 2 = 0, -r*c + 9 = -3*u. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22229 (base 11) to base 12\nAnswer: 16789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -4, -5, -6, 26 in decreasing order.\nAnswer: 30, 26, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzw when three letters picked without replacement from mmwmizmzdkkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110001 - 1000?\nAnswer: 11111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468 is divided by 89?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011100011 - 10?\nAnswer: -1001011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1, 52.324, -0.2, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -98. Suppose -13 = -11*w + 31. Calculate the smallest common multiple of w and f.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Let f be (2 - -1)*(-10)\/30. Let h = a - f. Solve h*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.4449 minus 4?\nAnswer: -290.4449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1))\/h**(2\/3)*(h**1)**(2\/11))\/(h*h**1*h**(1\/3))**(1\/7) assuming h is positive.\nAnswer: h**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 200021 (base 3) to base 12\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 384*t - 62. Let a(k) = -480*k + 77. Give 9*a(s) + 11*o(s).\nAnswer: -96*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2 - -4*1. Suppose -10*x + 735 = -i*x. Suppose 5*o + x = 2*t, 0 = t + t - 4*o - 242. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*r + 26*r = 36*r - 21607 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 1 + 10 + -3. Find the second derivative of 8*i**3 - 11*i + 12*i + p*i + 5*i**3 wrt i.\nAnswer: 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/(1\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*c = 2*p + 75, -140 = -5*p + 3*c. Let w(k) = -7*k - 4 - 52*k**2 + 26*k**2 + p*k**2. Determine w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 6*u = 11*u - 15, 8*u = -2*v + 24 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*d = -415*d + 5*p, 2*d + 3*p + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2776 - 2760. Calculate the greatest common factor of n and 9808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0*n**2 + 4*n + 1 - 2*n**2)*(-5 - 1 + 7) + (0 - n**2 + 0)*(-1 + 2 + 1) - 2 - n**2 + 2 in the form q*n + k*n**2 + c and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -804628440 by -580540.\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**11))*v*v**(1\/11))\/((v\/(v**(-2\/31)\/v))\/(v**5*v)) assuming v is positive.\nAnswer: v**(5806\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 52 = -2*d. What is the least common multiple of 434 and d?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 357, 362, 373, 390, 413, 442, 477?\n\"Answer: 3*o**2 - 4*o + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 2234.\nAnswer: -2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, -4, -23, -5 in decreasing order.\nAnswer: 21, 1, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -471\/155 - -57\/31. Which is the closest to 1? (a) 1\/2 (b) o (c) 3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 378 + -367. Suppose 0*c + 363 = r*c. Calculate the greatest common factor of c and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 540 = 90. Suppose 6*n = r - 3. Suppose 0 = -4*p - 4 + n. Solve 1 = -7*m + 3*m + q, -m - p*q + 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5 = 3*j - 26, -2*j - 6 = -2*o. Suppose -4*n - 3*g = -6*n + 40, j*g = -3*n + 34. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -675297432 by 6.\nAnswer: -112549572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392819, -785636, -1178449, -1571258?\nAnswer: -1964063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 1683.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-10 - ((-17)\/((-255)\/6) + (-4272)\/80))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737521524 to the power of 1\/2, to the nearest integer?\nAnswer: 41684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310330035 - 12?\nAnswer: -310330051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.01603.\nAnswer: 0.004809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85664486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7903 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3394, -2990, -1898, 218, 3694?\n\"Answer: 56*l**3 + 8*l**2 - 12*l - 3446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + b171b?\nAnswer: b1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l. Let k = 3 + -2. Let a = -16 + 14. Let n(u) = -2*u**3 + 2*u**2 - u. Let j(x) = a*v(x) + k*n(x). Find the second derivative of j(f) wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014259035 rounded to 6 dps?\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -42. Let j(m) = 6*m. Let a be j(-2). Let o = r - a. Let v(i) = -i**2 - 8*i - 4. Calculate v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from ccyeycchfyyedycye.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1047955.0245 + -1047736. Let a = r + -0.2445. Let g = -221 + a. Round g to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 7*v**2 - 2*v + 3. Let z be d(-3). Let g = z - -19. Let x be (2\/52)\/(2\/g). Is x != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*n + n - 29 = 0, 0 = -5*j + 3*n - 10. Let s = j + 0. What is the tens digit of 17\/((s - -2) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/4*(-2)\/(-3). Suppose 14 = f - 2*l + 2, -d*f + 4*l = -26. Solve -5*j + 4 = -4*k, 3*j + f = -j - 2*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)\/((l\/((l*((l*l**(-12))\/l)\/l)\/l))\/l) assuming l is positive.\nAnswer: l**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 4*n**2 + n + 6. Let r be y(-3). Let f(q) = -2*q - 2. Let l be f(-6). Is l >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5529031738 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13542 + 13540. Let i be (56\/(-30) + 2)*-3. Which is the second smallest value? (a) n (b) -19\/5 (c) i (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 4*r**2 - 6*r + 2. Let k(t) = -t**3 + 7*t**2 + 7*t + 3. Let n be k(8). Calculate the least common multiple of 7 and o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 170?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -224, -936, -2180, -4004, -6456?\n\"Answer: -8*g**3 - 218*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783578 is divided by 290.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - f - 9. Determine w(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 1500172 in ascending order.\nAnswer: -11, -3, 1500172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 606*d + 4095.\nAnswer: 3*(d + 7)*(d + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049016 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2*(9 - -31) + -16)*2\/4?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 3. Let l(o) = o**3 - 5*o**2 + 9*o - 6. Let p be l(3). Give t(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -6 - (-2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014556089 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2918 divide 1519574762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/5 - 46*f**2\/5 + 52*f = 0.\nAnswer: 0, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -15 (b) 1 (c) 2530154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 18*m - 20209*m**3 - 14087*m**3 + 29*m - 7*m + 3 + m**3 - 3 + (5*m**2 - 5*m**2 - m**2)*(0*m - m + 0*m).\nAnswer: -34294*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123101 - 121?\nAnswer: 122320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -3*b. Suppose 2*r + r + b*w + 3 = 0, -2*r - 4 = 2*w. Solve 2*h - r = 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120948267*b**6*r + 3*b**2 - 7539796*r wrt b.\nAnswer: -14513792040*b**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010388 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/722 - (-16)\/(-19). Let o = -17 - -13. Which is the nearest to 0.1? (a) o (b) 2\/9 (c) 0.1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 4 - 5\/3*q**3 + 2*q**2 + 0*q. Find the second derivative of d(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (1201 + -1239)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (13 - 17)\/((-60)\/(-82)) and (-2 - -5) + 3 + (-313)\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28657667 bigger than -143288342\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*h + 2469*g - 1391 = 201*h + 1132, h = -2*g + 29 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-24))\/((-1)\/(-2)). Let h = 67 + -66.8. Sort h, 3, y.\nAnswer: y, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 + 5. Suppose 4*u - 1 = 3*u. Let j(g) = -1. Let z(l) = u*n(l) + 3*j(l). What is the derivative of z(s) wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46244000 to the nearest 10000.\nAnswer: 46240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 12) in base 3?\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*a - 12650, 5*x - 31635 = -5*a + 10*x. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**5\/90 + 49*h**4\/27 - 200*h**3\/27 - h - 1861. Determine n so that x(n) = 0.\nAnswer: -100, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(637) + 1 + -3.\nAnswer: -2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6217.219 - 6221. Let r = g + 0.391. What is r rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1062003162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1297288*s**2 + 0 - 1297346*s**2 + 0 + 2594632*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 3 in increasing order.\nAnswer: -5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and -64478.7.\nAnswer: -64478.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*u + 745594 - 746514 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 8. Let p(b) be the third derivative of 0 + 1\/6*b**4 - 3*b**2 + 0*b + 5\/6*b**3. Let c(h) = 5*l(h) + 8*p(h). Let w(o) = -o**2. Give c(w(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Let i(x) = -3*x + 21. Let z be i(7). Suppose 9 + 11 = 2*r + p*q, z = -2*r - 2*q + 32. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5615 rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062556 to three dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21 - 24*n**3 + 71*n**3 + 26 wrt n?\nAnswer: 141*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-368)\/(-32))\/((-2)\/(-4)). Let q(h) = -w + h + 7 + 10. Let c be q(6). Solve -3*b = 5*y + 3 + 2, 5*y + 2*b = c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**2 + 4\/3*n**3 - 3*n + 1\/4*n**4 - 4. Calculate h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a year in months?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 3. Suppose -5*f + 16 = 41. Let j be w(f). Suppose -j*k + 3*h + 45 = 0, 0 = -5*k - 2*h - 5 + 89. What is the lowest common multiple of k and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1766 in -3\/8, 0.3, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 116\/4453, -0.1 in ascending order.\nAnswer: -1.4, -0.1, 116\/4453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.005 (b) -0.1 (c) -32.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14439054 divided by -6\nAnswer: -2406509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -316*j**2 + 343*j**2 + 876*j**2 + 840*j**2 to the form p*j + l + a*j**2 and give a.\nAnswer: 1743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4420227 is divided by 1105044.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 53*z + 22. Let d be x(9). Is 2\/(-3 - (-1499)\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128548612.\nAnswer: 2, 41, 67, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 140*i. Let l(j) = 7*j. Let u(t) = -119*l(t) + 6*m(t). Let w(v) be the first derivative of -v**3\/3 + 9. What is w(u(h))?\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + z + 0 + 13 = 0, k + 2*z = -11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*x**2 + 4206 + 720*x - 11*x**2 + 20*x**2 - 19758 - x**3 = 0. What is x?\nAnswer: -27, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(92\/1242).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z - 5. Let d(p) = -116*p + 42. Let g(r) = -462*r + 165. Let v(w) = 11*d(w) - 3*g(w). What is -33*c(q) + 5*v(q)?\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11524 is divided by 120.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**2 - 46*l - 14. Let o(w) = -20*w**2 + 84*w + 27. Let v(z) = -6*o(z) - 11*t(z). Give v(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 16*p**2 - 129*p - 54. Calculate i(22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 234*g - 2 + 0.\nAnswer: -234*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 29. What is the units digit of 1*(w\/2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33413175 + -34?\nAnswer: 33413141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(32)*2 - sqrt(72)) + -3 + sqrt(50) + (0 + sqrt(50))*-6))**2*3.\nAnswer: 6624*sqrt(2) + 51216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171 = 108*s + 307 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**2 - 16*o - 26. Let v(i) be the third derivative of i**4\/6 - 45*i**2. What is j(v(f))?\nAnswer: 8*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + 2*l + 4. Let f be j(0). Suppose 8*u - 4*u - 360 = -f*m, -155 = -2*u + 3*m. Calculate the remainder when 166 is divided by u.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + 0. Let o(h) = -h**2 - 6*h + 3. Calculate the remainder when m is divided by o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.68 + -0.4?\nAnswer: 10.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 2*h - 2*h)*(269 + 376 - 476) to z + y*h and give y.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * 178.68.\nAnswer: 7504.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6121066574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g + 19. Let b be 1502\/(-84) + g\/(-42). Let t = b - -227\/7. What is the common denominator of t and -41\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n**4 + n**3 + 190*n**2 - 46*n + 10387783 with respect to n.\nAnswer: -24*n**3 + 3*n**2 + 380*n - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(220) + (sqrt(220) - (sqrt(220) - (sqrt(220) - (sqrt(220) + -5*sqrt(220)*-2)))))\/(sqrt(891) - (sqrt(891)*-3 + sqrt(891))*4))**2.\nAnswer: 320\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73133 is divided by 169.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5834.46 centuries?\nAnswer: 583446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1036\/11 + -94. Which is the second smallest value? (a) -2\/9 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -3*a**8\/112 - 13*a**7\/70 - 11*a**6\/20 - 9*a**5\/10 - 7*a**4\/8 - a**3\/2 - 10*a**2. Factor n(w).\nAnswer: -3*(w + 1)**4*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -953*c**6\/60 - 715*c**4\/24 + 2540*c**2. What is the second derivative of a(p) wrt p?\nAnswer: -11436*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.033149 - -0.033. What is t rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -825*r**4 - 10*r**3 - 135804?\nAnswer: -3300*r**3 - 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96673 and 1047?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15083 - -14834. Do w and -266 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 37911 and 37910 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -79*h**3 - 2*h**2 + 3*h - 2. Calculate a(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*u + 2128 = 0, 6*u = -5*s + 8*u - 3590. What is the remainder when s\/(-6) - (-60)\/(-45) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*v - 620 = 172 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*c - 24 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, 16, -5, -45, 1 in decreasing order.\nAnswer: 16, 1, -1, -5, -15, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141384410 - 141384410 + 1642*w**2.\nAnswer: 1642*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i*j*s**3 + 6*i*j + 52*i + 145*j*s**3 - 2*j with respect to s.\nAnswer: -18*i*j*s**2 + 435*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 3 + 25 + -36?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22608, -89693, -201250, -357279, -557780?\nAnswer: -802753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f**5 - f + (-2*f**5 + f**5 + 0*f**5)*(-2 - 5 + 2))*(0 + 5 + 15).\nAnswer: 120*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48371 and -0.4.\nAnswer: -48371.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135.33 + 138.33. Which is the closest to 33? (a) f (b) -44 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14857185 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 596 in -1, 0.5, -488, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 172*f - 858. Let o be u(5). Solve -29*i + 32*i - 5*n = -11, -2 = o*i - 2*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563 or 9003\/16?\nAnswer: 9003\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 330893 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r + 681 + 1059 = -38*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 2*c**2 + 2*c + 3. Let d be i(3). Suppose -55 = -5*v - d*v. What is the remainder when v is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 0.1 (c) 6 (d) 1 (e) -1\/4 (f) -12.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100100011?\nAnswer: -100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2031 and -359589?\nAnswer: -730325259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.7*-280.\nAnswer: 5516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-6)*(-4 - -1). Suppose -4*c + 10 + 6 = 0. Suppose -c*i = -a*i + 75. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2912 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7441180261.\nAnswer: 7441180261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 44 = 10*z. Let m(a) be the second derivative of 0 + 0*a**3 + z*a - 1\/4*a**4 + 3\/2*a**2. What is the derivative of m(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-30)*(60\/10)\/(14\/(-12)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1801762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*k + 37*k + 55*k**2 - 120*k + 29*k + 32*k - 5 wrt k?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 5*w - 52. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 103 - 123. Suppose 54 = 3*d + 2*a, -a - 16 + 88 = q*d. Is 25 a factor of (-2)\/d - (-901)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 66*k**3 + 288*k**2 + 224*k.\nAnswer: 2*k*(k + 1)*(k + 4)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfs when three letters picked without replacement from utftkftstfuufuu?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 67, 137, 241, 385, 575, 817?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - 1 - (7 - 4). Let h(b) = 16*b - 18*b - 2*b**a + 2*b. Let t(s) = 4*s**2. Determine t(h(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.3, 0.1, -796?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6500 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:18 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(1700))**2.\nAnswer: 80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:11 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:26 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*(-3 + (-14)\/(-4)). Let z(y) = 5*y + 27. Let m(d) = -3*d - 13. Let o(p) = 5*m(p) + 2*z(p). Let h(l) = 3*l + 6. Give u*o(n) + 11*h(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 0. Let l be (-6 + 11)*(11 + 812\/(-70)). Let t be (-7 + (0\/y - l))\/(-2). Solve 6 - t = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-7 - (-16 + 9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73649258?\nAnswer: 2, 653, 56393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10540240 (base 6) to base 13\nAnswer: b4696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -18605\/3 - 5\/3*q**2 - 610\/3*q = 0.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 12. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 11. Let s be z(9). Let i(f) = 3 - 3 + 19*f + s + 9. List the prime factors of i(3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 2. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135474 (base 8) to base 7.\nAnswer: -256513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/((-78)\/42 - -2). Let z = t - -440. What is the highest common factor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4\/6 - (76 - 47985\/630)*-50?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 2*z + 2. Let d be x(1). Let w be (4 - 1 - 4\/d)*9. What is the highest common divisor of 729 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 322213, 653068, 983925, 1314784, 1645645?\n\"Answer: h**2 + 330852*h - 8640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/38*94\/4 + 20\/8. Suppose 2*g - y + 1 = -5, 13 = 3*g + 4*y. Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 0.1. Let q = 39 - 35. Suppose q*j - 6 = u, 4*j + 2 - 6 = 2*u. Which is the closest to -2\/3? (a) g (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000824751 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/7 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 20*q - 5. What is b(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 15. Suppose d = 2*r - 12 - 2. Solve 5*n - r*t + 3*t - 6 = 0, t + 6 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/6*(1 - 2\/3). Let l be -1*(m - 2) + -17. List the prime factors of (18\/8)\/(l\/(-260)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 118*d - 4978. Let f be u(43). Solve 32 = -88*i + f*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19178415*d + 32986441.\nAnswer: -19178415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167400 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**14)*k*k*k\/((k*((k*k*k**11)\/k)\/k)\/k)*k*k*((k*k**(-3))\/k)\/(k**(6\/7)\/k))**(-1\/8) assuming k is positive.\nAnswer: k**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 4*o. Let s be m(4). Suppose 4*v - 1 - 15 = s. Find the second derivative of -4*r + 2*r**v + 5*r + r wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e2d1d (base 15) to base 14\nAnswer: -2a67d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 2*x**3 - 2. Let t(o) = -o**2. Let m(g) = n(g) + 9*t(g). Let y(i) = -i**2 + 46 - 46. Give y(m(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 1179177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(165 - 161 - 10*x - 11*x) in the form v + s*x and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/23))**(-1\/4) assuming f is positive.\nAnswer: f**(1\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.8 - 10.9. What is the closest to r in -4, -7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - 0. Let r = -1 - q. What is the second biggest value in r, -2, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, 10 = -u + 3*x + 2. Let j(q) = q**2 - 6*q + 1. Let t be j(7). Let w = t - u. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**4 + 1 - 3*z**4 + 0*z**2 + 2*z**2 + z as v*z**4 + b + d*z + u*z**3 + y*z**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2136 and 0.\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 777 = -4*j + 9*j, -4*s = -j - 1563. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195852640.4 to the nearest 10000.\nAnswer: 195850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 1418?\nAnswer: -141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*r - 68. Let v(t) = -18*t + 13*t + 5 + r*t - t. Suppose -h = 2*h - 12. Determine v(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1064655, 1064661, 1064667, 1064673, 1064679, 1064685?\nAnswer: 1064691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*h - 297*h + 3088 = 195*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 228?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136565, -546224, -1228973, -2184812?\nAnswer: -3413741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + t = 21, 3*t + 18 = 2*u + 5*t. Solve -9 = 3*i - 3*o + 12, 0 = -3*i + u*o - 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-972)\/28 + (-6)\/21. Let a be ((-6)\/10)\/((-7)\/v). Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 0. Let g = -27 - p. Suppose -4*i - g - 9 = 0, 4*t - 486 = 2*i. Is t a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-370)\/(-50) - 7 - (-2288)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 122, 2\/5, 3, 4\/5.\nAnswer: 0.13, 2\/5, 4\/5, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3492.0008432 - 3492. Round i to five decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -848 - 9*h - 2034 + 7*h - 3*h + 547 as d + s*h and give d.\nAnswer: -2335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/112 and -25\/714.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:12 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(0 - (-4)\/(-24)). Let k = 224 + -279. Let d = -59 - k. What is the nearest to -1 in d, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 - -0.43. Sort -0.4, 2, d.\nAnswer: -0.4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*l - 52, -1456*r = -1460*r - 3*l + 55 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*k - 9, 0 = -4*m + k - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkntpqpnkqqntk. What is prob of sequence nt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 10 + 18. Suppose -4*m + b*m = 0. Solve -5*t + m = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 7*t + 4. Suppose -2*s = -7 + 15. Let i(g) = 4*g**2 + 6*g + 3. Let j(z) = s*i(z) + 3*y(z). What is the second derivative of j(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3119\/476684 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 12*p**3 - 31*p**2\/2 - 51*p. Differentiate q(c) wrt c.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18615, -37307, -56023, -74775, -93575, -112435?\n\"Answer: -2*c**3 - 18678*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*k**2 + 24530*a**2*k - 16*a**2 + 812*a*k**2 + 176723*k**2 - 141*k wrt k.\nAnswer: 4*a**2 + 1624*a + 353446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dctzmcmzmcdccbccc. What is prob of sequence tbmc?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -2\/9, -0.2, -6\/67, 0 in decreasing order.\nAnswer: 0, -6\/67, -0.2, -2\/9, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-8 + 0))*5. Let b = 30 - f. What is the tens digit of (b + -2)\/((-4)\/34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -23. Is 12 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -15*j**2. Let c(s) = -768*s. Give c(o(b)).\nAnswer: 11520*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u + 33. What is the tens digit of l(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Let v(z) = -6*z - 5. Let s(x) = -5*m(x) + v(x). Let l(f) be the third derivative of f**5\/20 - f**3 + 563*f**2. Determine l(s(r)).\nAnswer: 3*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 3\/2*f**2 + 4\/3*f**3 + 11 - f + 5\/48*f**4. Suppose m(k) = 0. Calculate k.\nAnswer: -6, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6426 and 1377?\nAnswer: 19278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 11. Let u be k(0). Let w(p) = -p**2 - p - 21. Let r be w(0). Let o = r + 8. Is u >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + s + 0 - 3)*(82 - 18 + 35) to i*s + x and give x.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221326*s**5 - 196513*s wrt s.\nAnswer: 4426520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from {j: 3, c: 1, i: 11, h: 5}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -146, -1, 0 in increasing order.\nAnswer: -146, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - 8) + -26 + -49?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 437 = -2*g + 15*g + 722 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.3 - -44.5. Which is smaller: 12 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381903913 to the power of 1\/2, to the nearest integer?\nAnswer: 19542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/77541579 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4\/3, -5.85, -0.9, -5, -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -15 + 75. Calculate the smallest common multiple of 2 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 379, 956, 1731, 2686, 3803, 5064, 6451?\n\"Answer: -3*n**3 + 126*n**2 + 4*n - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 - j - 3. Let w be 14\/4*(-7 - 53\/(-7)). Give g(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616*450\/9200 + -30.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237524095 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 1588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4\/5 - 4*o**3\/5 - 278*o**2\/5 - 224*o\/5 + 312 = 0.\nAnswer: -10, -3, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52, -51, -48, -43, -36, -27, -16?\n\"Answer: h**2 - 2*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4256 is divided by 237?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**5\/20 + p**4\/4 + p**3\/2 - p**2 - 3. Let o(w) be the second derivative of q(w). Factor o(u).\nAnswer: 3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000992 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 12*y**2 + 2*y - 10. Let f be z(12). Suppose 30 - 2 = f*i. Solve -3*g = i*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - c**2 - 1. Let b(z) be the first derivative of z**4 + 3*z**3 + z**2\/2 + 6*z - 7. Let o(k) = -b(k) - 5*m(k). What is o(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -165 (b) 4 (c) -2\/13 (d) -3 (e) -15 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4260, 8403, 12572, 16767, 20988, 25235?\n\"Answer: 13*f**2 + 4104*f + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98858037.\nAnswer: 3, 181, 182059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1 + 18*k**5 - 12*k**5 - 7*k**5 + k. Let u(g) = -12*g**5 + 13*g**2 + 2*g + 2. Let s(o) = -2*a(o) + u(o). What is the third derivative of s(x) wrt x?\nAnswer: -600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88843279 divided by -8747.\nAnswer: -10157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30877, -29533, -27293, -24157, -20125, -15197?\nAnswer: -9373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 b when four letters picked without replacement from {j: 2, p: 2, c: 2, s: 1, b: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12 - 14729\/(-66). What is j rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2193)\/(-2193)*6\/(-4)*(-10)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 126*y**2 + 306*y + 75. What is w(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 + 49*h + 10. Let f be c(10). Put 4, f, -134 in decreasing order.\nAnswer: 4, f, -134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -125, 3, -1\/156, -3?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 20, -2*v + u = -2*u - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - m - 2 = -14, -5*w = 3*m - 22. Let z be (-18 - -19) + 1*2. Let c(f) = -f**2 - 5*f**3 + z*f + 124 + 4*f**3 - 126. Give c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 2*w**2 - 5*w + 2. Let o be v(3). Suppose 4*i - 1 = p - o, 3*p - 58 = 4*i. Let s = p - 10. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Let u(f) = -1. Let h(d) = -2*c(d) + u(d). Let l(j) = -2*j + 4. What is 4*h(y) + 3*l(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -4. Let y be 1690\/4 + (-45)\/90. Let u = 416 - y. Sort 0, f, u in ascending order.\nAnswer: u, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -24*p**3 + 250*p**2 - 3*p - 4. Let u(f) = -41*f**3 + 500*f**2 - 5*f - 7. What is 3*u(b) - 5*x(b)?\nAnswer: -3*b**3 + 250*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - (-2*sqrt(396) + sqrt(11))**2) + sqrt(11) + -4.\nAnswer: -1337 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, c: 9}. What is prob of sequence uuuu?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -360060 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1839.5 - 1839. What is the closest to 0.09 in 7, -4, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from yuxgm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -552, -553, -554?\n\"Answer: -p - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -74 and -75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20322298, 20322296, 20322294, 20322292, 20322290?\n\"Answer: -2*v + 20322300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501453 is divided by 6101.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.506243 centuries to millennia.\nAnswer: 0.8506243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -385\/1312 + -59\/205. What is the common denominator of w and -27\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -46*r - 26. Let z be b(-3). Suppose 9*a + 5*a = z. What is the least common multiple of a and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from riiidxdjrriidjxijijj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1\/((-1)\/(-4)). Let s(y) = y**2 - 9*y - 39. Let b(m) = -3*m - 12. Let j(q) = -7*b(q) + 2*s(q). List the prime factors of j(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + (-1 - (2 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -144, -2 in increasing order.\nAnswer: -144, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*u - 9, -4*u + 6*h - 2*h + 36 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 14*z - 20. Determine o(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iry when three letters picked without replacement from {i: 4, y: 13, r: 3}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62 + -56 - (808\/26 - 2). Let q be (23\/(-92))\/(2\/8). Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4 + 1055*h**3 + 858*h?\nAnswer: -12*h**2 + 6330*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-237)\/553)\/(6\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 2 d when four letters picked without replacement from {p: 3, d: 4, s: 11}.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*q = -2*w + 24, q + 7 = 2*w. Factor -3*h**2 + 7*h**3 - 2 - 12*h**3 - 9*h + w*h**2 + 14*h**3.\nAnswer: (h - 1)*(h + 1)*(9*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -19*t - 11. Is 40 a factor of z(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94424404?\nAnswer: 2, 2411, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/2 - m**3\/3 - 4*m**2. Let f be d(-5). Suppose 2*y = 3*w - 565, 0 = -3*w - w + 4*y + f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*m - 4, -4*m - 8 - 4 = -4*l. Let h = 54 - 54. Solve -l*q + 12 = 3*n + q, 5*q - 5 = h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2808 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26921264 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5 - 5)*(3*x - 2*x - 3*x)*(0*x - 4*x - x) + 7*x**3 - 3*x**3 - 2*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 13*q + 15. Let z be h(8). Let r = -16 - z. Calculate the highest common factor of r and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 68. Let b = -52 - u. Let z = b + 24. Solve 3*k - z = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1697 - 1697. Let z = 0.5 + -0.3. Let g = -2.2 + z. Put -0.3, 4, b, g in descending order.\nAnswer: 4, b, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101482.\nAnswer: 2, 50741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 + 12*l**2 - 8*l + 7. Let b(y) = -7*y**3 + 25*y**2 - 15*y + 13. Let n(x) = -2*b(x) + 5*k(x). Let p be n(9). Solve -5*h + p*h = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 12 = 0. Suppose 172 = 4*x + d + g*d, -4*x + 4*d + 188 = 0. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**11*(u**(2\/5))**17)\/((u\/u**2)**0\/(u**(-1\/4)*u)**29) assuming u is positive.\nAnswer: u**(1493\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 4*u = 1, 10 = 5*u. Let f = i + 3. What is the tens digit of (23 + f)*6\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/10 - (-247)\/65 and 65?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/30 - 205*f**4\/84 + 58*f**3\/21 + 406*f**2. Factor v(b).\nAnswer: 2*(b - 29)*(7*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 + 9*w + 9. Let o(m) = -2*m**2 - 4 - 4*m + m**2 - 2*m**2. Suppose -x + 3*b = 6 + 8, -3*x - 2*b = 9. Give x*o(u) - 2*f(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -32*n**5\/5 - 12*n - 4. Differentiate i(t) wrt t.\nAnswer: -128*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6101 divided by 19552.\nAnswer: -6101\/19552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10661 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25991809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 + -273. Is s at least -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -540 + 581. Solve -40*r = -m*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*f - 155 - 89 = 0, -2*f - 472 = -4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5844 + 5804 = -4*p, -3*p - 5*g - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + -12 - (3 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0161563289 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529994185?\nAnswer: 5, 79, 271, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1399.8 - 1270. Let q = -144 + f. Round q to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 6\/4)*1300\/150.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 3*u - 6. Let z(n) = n - 6. Let w(b) = 1. Let l(d) = -6*w(d) - z(d). Let h(t) = -g(t) + 3*l(t). Determine h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45459908.24 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (3 - (-1 + -5205936)). Let s = -2150028662\/413 - x. Let n = s + -416\/7. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -695.4778 to the nearest ten.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3539023203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 5\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -130*i**2 + 2*i + 45. Let j(b) = 391*b**2 - 7*b - 135. Let y(r) = -7*f(r) - 2*j(r). Find the first derivative of y(n) wrt n.\nAnswer: 256*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 12\/(-5)) + 14\/(-35). Let l = -2.1 + 2. Put u, 7, -2\/7, l in decreasing order.\nAnswer: 7, u, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.1. Let f = -3.7 - g. Let k = f + 3.5. What is the second biggest value in 0.3, k, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77021593.6 - -3312\nAnswer: -77018281.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -10) + (2 - 5) + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from tmmmx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182402, 1459504, 4925932, 11676350, 22805422, 39407812?\nAnswer: 62578184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10320 divided by 4\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/24 - 4*c**2 + 11*c. Let l(f) be the first derivative of q(f). Let k(m) = -8*m + 1. Give -k(u) + 6*l(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*g - 7 + 15, -3*g = -5*q - 20. Let w = 4 + q. Suppose 184 + 47 = w*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248 - -583. Let l = i - 191. Calculate the highest common divisor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 - -1587493490.\nAnswer: 1587493565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 60*c**2 - 4*c - 30. Let r be l(-5). Suppose q + 3*v - 9942 = 0, -v = -2*q + 18359 + r. Suppose 5*k - q = -1502. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116058441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6258 times 1\nAnswer: -6258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -60*v - 2401. Let x be u(-40). Put x, -4, 4355 in increasing order.\nAnswer: -4, x, 4355","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.28 take away -302708326?\nAnswer: 302708426.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2626 (base 9) to base 16.\nAnswer: 7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.1 (c) -0.14 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**2 - 67*v + 67*v + 18*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -14\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -3*x**4\/8 + 30*x**2. Let r(a) be the first derivative of a**2\/2 + 6. What is g(r(z))?\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3377 divide 563492837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155 and 2945.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/21*(-4704)\/84.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -359\/2080 + 3\/160. Let i = 1 + 0. Which is the closest to i? (a) -1 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -198 + 4 + 20*z + 57. Let l be g(7). Factor 0 + s**5 + 3\/2*s**4 + 0*s**2 + 1\/2*s**l + 0*s.\nAnswer: s**3*(s + 1)*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 - -558 - (42 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -631*u**2 - 1713*u + 4. Let p(c) = 1893*c**2 + 5141*c - 11. Let j(s) = -11*a(s) - 4*p(s). What is the second derivative of j(o) wrt o?\nAnswer: -1262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjnszjstzssnjsjs. Give prob of picking 1 z and 1 j.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/12 + s**3 + 3*s**2\/2 + 17*s. Let v be m(6). Solve v*g + o + 5 - 4 = 0, -4*o + 9 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (11 - 3) + 29 + -26\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15 + 9*b - 5 - 1 - 2 - 2. Determine l(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 12884740*y - 8300826243380.\nAnswer: -5*(y - 1288474)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2948*k - 704. Let o(l) = -50*l - 12. Let s(m) = -176*o(m) + 3*w(m). Let t(j) = -4*j - j + 3*j. Give s(t(r)).\nAnswer: 88*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h**5 + 0*h - 23\/120*h**6 - 1\/6*h**4 + 157\/6*h**3 - 71*h**2 + 2. Differentiate j(m) with respect to m.\nAnswer: -69*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*(-8 + 8). Let v be j\/18 + 3 + -1. Suppose -3*y = -y - v. Solve -y = n - 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 407*q + 2384. Let i be h(-4). Calculate the highest common divisor of 864 and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 5*d + 6. Suppose 5*r + 38 = 4*m + 12, -r = 4*m + 10. Let o be (-4)\/r + (-30)\/(-9). What is the units digit of n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*((-35)\/(-3))\/((-128)\/(-1152))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 22 = -10*m - 39*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52217007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148 + -168 + (-9 - -19) + (-5 - (0 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m - 6. Let a be d(7). Solve 4*g + 7 = i - 5, 5*g - 3*i = -a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15043\/2456 + (-1 - 5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/4 - 109*x**3\/2 + 54*x**2 + 109*x\/2 - 217\/4 = 0. Calculate x.\nAnswer: -1, 1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47757 + -47753. Let o(v) = 2*v**3 - 10*v**2 - 3*v + 14. Give o(g).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/9, 3388, 0.1, -3\/4, 1.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - 2*(-359)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624*f - 616*f + 80 = 0. Let b(p) = -3*p**2 - 31*p - 3. Calculate b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1733\/20 + -345\/4. Let g(o) be the first derivative of 0*o**4 + 4\/3*o**3 + 0*o**2 - 2*o - 6 - t*o**5. Factor g(r).\nAnswer: -2*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*v - i, 0 = 4*v + 5*i - i - 16. Sort -2, 5, v, -3\/5 in increasing order.\nAnswer: -2, -3\/5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-226)\/(-26) - 164\/(-533).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:34 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1123594 - -16853908\/15. Let o = -3 + 3. Let s be (-4)\/6 + (-4)\/(-3). What is the nearest to s in i, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + n + 0 + 0*n + 3*n - 4*n + (2*n + 3*n - 6*n)*(2 + 0 - 5) + n + 3*n - 2*n in the form v*n + k and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 446.\nAnswer: -3\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12652572 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/2 - 2) + (-5)\/(-10). Suppose 6 = -y*i + 24. Suppose 0 = -i*w + 3*x + 405, -5*w - 3*x = -4*x - 691. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -29 - (243 - 279).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -37. Let v = 21 + b. Let a = 0.2 + -0.2. What is the closest to 1 in a, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0463754*0.35.\nAnswer: -0.01623139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 2*g + 70 = 0, 3*g = 1044*y - 1046*y - 35 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 2*m. Let s = -6 + 1. Let d(a) = a**2 + a. Let q(w) = s*d(w) + 4*n(w). Factor q(r).\nAnswer: 3*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 17*y + 5*y - 2 - 9*y.\nAnswer: 13*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 84506, 84516, 84526, 84536, 84546, 84556?\n\"Answer: 10*f + 84496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2120114004 (base 5) to base 15\nAnswer: -5d0a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-5428)*59)\/(2\/(-12)*33).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12179802029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030046 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16050631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 30*j**2 - 147*j + 76. Let d be k(24). Sort d, -7, 167 in decreasing order.\nAnswer: 167, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 265608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by (-76)\/(-133) + (-20)\/(-14) - -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-233320)\/34998 - (-113)\/21.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) -0.14 (c) 0.018 (d) 2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/12 and 61\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 5)*(-2 + 2 + 7*i)*(-726 + 43*i + 726) in the form g + f*i + c*i**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -5)*(-1050)\/(-20). Find the common denominator of n\/(-24) + (-6)\/2 and 25\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -762776\nAnswer: 1\/381388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 11*r**4 - 12*r**3 - 9*r**2 = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g + 4*g)*(-g**3 + 2*g**2 - 2*g**2) to the form x*g + o + u*g**3 + n*g**4 + h*g**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 35 - 81. Is z >= 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -23. Let n = a + -4. Let v = n + 14.99986. Round v to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 6*h**2 + 5*h + 5. Let b be 1 - 21\/(2 + 1). Let g be s(b). Let l = 47 + g. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.019 (b) -1\/3 (c) 0 (d) 1\/5 (e) -1117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 90 = 4*c, c + 3*q - 19 = 0. Let n(w) be the first derivative of w**3\/3 - 3*w**2 - 5*w - 2. Let y be n(7). Solve -3*a = y*a - c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 83535515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36484055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 34907*a - 69798*a + 34894*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/(-14*1\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 213 = -33. Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1382 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 37*p**2 - 9*p + 9. Let w(b) = 19*b**2 - 5*b + 5. Calculate -3*j(g) + 5*w(g).\nAnswer: -16*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 255, 921, 2271, 4539, 7959, 12765, 19191?\nAnswer: 27471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 51*m**2 - m + 1. What is the hundreds digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-4)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 4. Let p be t(0). Suppose 0 = -3*o + p*d + 31, -2*d - 16 - 6 = -2*o. Let l = 8 - o. Which is the nearest to 2? (a) l (b) -5\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2322044*l - 2322044. Determine y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 1 + 27 - -10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7, u: 6, h: 1, s: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-f**4 - 3*f**2 + 3*f**2) + 0 + 0 + 4*f**4 + (-7*f**3 - 2*f**3 + 6*f**3)*(-233 - 21*f + 236 - f).\nAnswer: 68*f**4 - 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 15) to base 12\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 4*m + 68. Let g be u(10). Suppose 12 = -6*q + g*q. Solve q*l + 1 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 13477600?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17663, -35320, -52977, -70634?\n\"Answer: -17657*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.419 - 0.081. Put 4, -1\/86, s in decreasing order.\nAnswer: 4, -1\/86, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*y + 7*y + 7, -y - 8 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41a06d + 0?\nAnswer: -41a06d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -14*t + 11*t. Let c = t - -30. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g - 6, -g = 2*c - 13. Let v be 2\/c - 364\/32*-2. Let d(q) = 26 - v - 4*q**2 + 9*q**2. Let w(t) = 16*t**2 + 10. Determine -20*d(m) + 6*w(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 1328*m**2 + 1361*m**2 - 2*m to the form w + d*m + v*m**2 and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 4*q + 1 + 0 + (-2 + 2 + 2)*(662 - 1306*q - 662) + (0*q + 4*q - 2*q)*(-3 + 3 + 2).\nAnswer: -2602*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*1750\/(70\/10)*(-12)\/(-30)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 2. Let z be b(-6). Let i(y) = y**3 - 4*y**2 + y - 4. Let w be i(z). Let k = -59 - -179\/3. Put w, k, -2\/9 in descending order.\nAnswer: k, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(208\/32)*(-18)\/(-2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a year in months?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = -644*a + 635*a. Calculate the remainder when 806 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k*k*k\/(k*k*k\/(k*k**(-8)*k*k*k))*((k**(1\/3)*k)\/k*k)**(3\/13))**(2\/11) assuming k is positive.\nAnswer: k**(-1088\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711775?\nAnswer: 5, 71, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o - 14*o + 12*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -28.73 and -1768.933193.\nAnswer: -1797.663193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (-13 - (-6 + -8) - -17)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2873 and 256711?\nAnswer: 4364087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/30)\/(((-20)\/(-3))\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -180, -184, -188?\n\"Answer: -4*w - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*s**4 + s**2 + 2577*s?\nAnswer: 1404*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706 at most 6123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 1. Let j(o) be the third derivative of 28*o**2 + 0*o - 1\/3*o**3 + 0 - 1\/8*o**4. Let r be (0 + 1)*(-3 - -1). Give r*q(c) + j(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 86094.3 millilitres in litres?\nAnswer: 86.0943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2935825126 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 + 29 = 5*j, -25 = -5*j. Let o(p) = -p**3 - p**2 - b - 5*p**3 + p + 2. What is the remainder when o(-1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(1 + -11). Suppose c*o = 13 + 7. Find the second derivative of -2*s + o*s - 4*s + 2*s**2 - s wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -14cd316?\nAnswer: 14cd31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*k**2\/5 - 918*k\/5 + 264\/5.\nAnswer: -3*(k + 44)*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533171 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 - 1712*o - 5157. Calculate f(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/6 + 8\/24. Let w(x) = 5*x + 3. Let k(j) = -4*j - 2. Let y(f) = p*k(f) + 5*w(f). Let i be y(1). Solve -3*d = 4*b + 1, -b + 3 = i*d - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 2 = 0. Let f(x) = 1 + x + 2*x**y - 1 + 5 + 6*x. Calculate the smallest common multiple of 10 and f(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1195 = -14*u + 229. Let h(n) = -6*n + 2. Let f be h(-3). What is the remainder when f\/15*u\/(-2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.01 + 7?\nAnswer: 8.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from vekeekkkee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 1 - (27 + -24)) + -26.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309902369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*n = -36, -3 + 40 = 3*m + n. Let z = m + 20. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79623340.\nAnswer: 2, 5, 3981167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.8 - 9. Let p be 1\/(8\/6)*2. What is the nearest to l in 0.5, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59625 is divided by 265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 47280938875\nAnswer: -47280938871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 11453 + -11443.931. Round i to one dp.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -356\/55?\nAnswer: -356\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 7*b**2 + 12*b - 8. Let f be v(5). Solve -f*r - 3 = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**6 - 474*f**3 + 9559*f**2 + 4?\nAnswer: 720*f**3 - 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95320 is divided by 9600?\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6120 + 16841. What are the prime factors of g?\nAnswer: 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 37 = -14*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 3*w - 17. Let a(c) = -4*c + 11 + c**2 + 2*c - 2*c**2 + 3*c**2. Let f(x) = -8*a(x) - 5*r(x). Calculate f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 4)*(-3 - 2 + 3) + 3 + 0 - 1)*(6*q + 0*q + q) to the form m*q + w and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845495?\nAnswer: 5, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*y + 48150 = 76*y - 186*y for y.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - 315\/(-25). Suppose -r*m + 57 = 21. Suppose 0 = -10*a + 6*a - 4*y + 16, -2*a + m*y + 28 = 0. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*n + 20, 7 = d - 3*n - 2. Put -4, d, -3 in increasing order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(119) - sqrt(119))\/(sqrt(35)\/(sqrt(15)\/sqrt(3))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8287.3 or 141.8?\nAnswer: 8287.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492528 and 20832.\nAnswer: 6895392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 142319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n + 45. Suppose -5*s = -2*z - 165, 2*z - 4*z = -4*s + 130. Let o = -9 + s. Calculate the remainder when o is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11. Let n = -465.4 + 465.2. Which is the nearest to o? (a) -11 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4 + 20 = 0. Sort n, -2, 1.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**11*h)\/h)**(-7)\/(h\/(h*h\/(h*h*(((h*((h*h*h\/h**3)\/h)\/h*h*h)\/h)\/h)\/h)))**(-4\/9) assuming h is positive.\nAnswer: h**(-823\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1811b (base 13) to base 9\nAnswer: -70487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*4*-2*sqrt(70)*-4)\/(-1*sqrt(810) - (sqrt(1440)*1 + sqrt(10) - sqrt(10))))**2.\nAnswer: 25600\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.208 - 0.44. What is x rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*c = c + 46, 2*r + 3*c = 31. Calculate the remainder when r is divided by ((-520)\/45)\/(-2) - (-4)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-27)*(-1)\/(-5))\/(76\/(-2964)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1065401, -2130760, -3196119, -4261478?\nAnswer: -5326837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 28\/4*-1. Suppose 18 = n*w - 17. What is the greatest common factor of w and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 866 - 922 = 0. Let a(o) = o**3 + 8*o**2 - 10*o - 6. Let r be a(-9). Suppose k - 4*j = -k - p, 3*k - r*j - 3 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 9*l + 35. Solve g = -0*g - j - 2, l*g + 9 = -4*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*((sqrt(77) - 1*sqrt(77)) + sqrt(77)) + 2*2*sqrt(77))\/(sqrt(891) + sqrt(891)*-1 + sqrt(891) + (-2*sqrt(66))\/sqrt(6)).\nAnswer: -20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/(b**(3\/2)*b*b))**(12\/5)\/((b*b\/b**(-3\/7)*b)\/b*b**(-1))**(2\/7) assuming b is positive.\nAnswer: b**(-2158\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 - 3*x - 19. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 230 + 5*w**2 - w - w**3 + 1182 - 525. Is j(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -44. Let n be (-1)\/4 - 552612\/y. Let u = n + 33462. What is u rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-3)\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 303183 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(1715)*-1)\/((sqrt(55)*3 + sqrt(55))\/sqrt(11))).\nAnswer: -7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 7 = 19. Is (p*1)\/((-24)\/5388) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -7610\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 383*k + 1174 - 1174 in the form l + c*k and give c.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49140)\/25272)\/(70\/(-66)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13300, -53206, -119722, -212854, -332608, -478990?\nAnswer: -652006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 678295 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -21*s. Let x(k) = -3*k. Let o(r) = -4*r. Let g(y) = 4*o(y) - 5*x(y). What is g(n(z))?\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -98196430 to the nearest one million.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7 = 8*h, -25*w + 724 = -5*h + 474 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5805 and 5535.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.09 + 4.419.\nAnswer: 10.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-132)*-4*18\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -4\/3 (c) -0.4 (d) 2323 (e) -1\/4 (f) -1 (g) 32\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -19\/2, 2, 14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 11:43 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2555288 and -64\/27788757.\nAnswer: 222310056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 53764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (123\/(-54) + (-6)\/27)*-2. Solve 9 = z*t - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 8*n. Let c be t(0). Let l(h) = 2*h**2 + h + 772. What are the prime factors of l(c)?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 58*c - 2. Suppose 4*x + 36 = 8*x. Let p = -2 - x. Let o be r(p). What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2256 and 20?\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*s = -434*s - 333 + 78 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -277, -222, -11, 434, 1191, 2338, 3953, 6114?\n\"Answer: 13*d**3 - 36*d - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s + 273. Let m be f(-27). Is 25\/14 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 66 + 32 = 0. What is the units digit of (-5 + 37\/z)*581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-91 - -1)\/(21\/(-14)) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 - (-8 + 51 - 76) - (-93 - 0)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3593*x**5 + 2*x**2 + 33*x wrt x?\nAnswer: -215580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 8137\nAnswer: 8136.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100000000000 (base 2) to base 13.\nAnswer: -4879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101597 is divided by 477?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 - 7*o**3\/3 + 7*o**2\/2 - 5*o + 141. What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 564\/48 - (-1)\/4. Suppose -11*w + s*w = 122. Let j = 453 - w. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 620507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10974.345 - 10971.3449957. Let y = 4.033 - 1.033. Let d = y - q. Round d to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/(-14 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and -1276.85.\nAnswer: -51074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:44 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000161402 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 204.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**4\/12 + w**2. Let b(a) = 3*a**2. Calculate r(b(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = -g + 19, 16 = 4*c + g. Suppose -c*k + 32 = k. Suppose 2*u + 2*u + k = 0. Which is bigger: -1\/2 or u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 + 964*g**2 - 762920*g - 38398848 = 0?\nAnswer: -554, -48, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let v(c) = c**2 - c + 3. Let t(h) = -v(h) - 5*z(h). Let p(s) = -2*s - 1. Let r be p(-3). Give t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -47*l + 46*l. Let t = 214 - l. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.03218704\nAnswer: -0.09656112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 26*d + 117 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {e: 10, w: 2, m: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056 = 521*s - 455*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0094*1.823\nAnswer: -0.0171362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -799.42866 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 1. Let n(l) = -3*l**3 - 3*l**2 + 6. Let a be n(-2). Suppose a = -4*r + 2. Let d be r + -6*(2 + 20\/(-8)). Give m(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*g + 44, -2*g = -2*r + g + 56. Suppose 5*f - 4*m = r, 3*m - 7 = -f - 2. Solve -f*k + 2 = -18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 11*y + 11. Suppose -11*v + 19 + 234 = 0. Suppose 9 = 2*t - v. Is 13 a factor of r(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/36*13965\/3990*(-20)\/(-21)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 131, 111, 73, 11, -81?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4*i - 18. Let x be z(4). Let t be (x + -11)*4\/(-6). Is t equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14929 - -7013?\nAnswer: 21942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.17 (b) -0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 32*i - 18 = 2*a, -1 = -a. Solve 3*v = 3, 3*f - i*v + 15 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 4 - 4)*(0*c + 3*c - 2*c) + 466*c - 401*c - 254*c)*(0 + c + 0)*(-11*c**2 + 11*c**2 - 6*c**2) to r*c**2 + k*c + q + h*c**4 + g*c**3 and give h.\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 5*v**2 + 2*v**2 + 9*v + 6*v.\nAnswer: 6*v**2 + 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21174 divided by 3770?\nAnswer: -10587\/1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2147*z + 129362 = -325*z for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1*x)**(-3\/11)\/(x**(-1\/2))**20)\/((x**(-1\/4)*x**(-2))\/((x\/((x*x**(-1\/4))\/x))\/x**(1\/5))) assuming x is positive.\nAnswer: x**(1373\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 343 + -5?\nAnswer: 33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20513 - -20518. Solve -46*x = -41*x - z*t + 15, 2*t - 6 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. Let z(v) = 1 + v**2 + 0 - 2 + v - k*v. What is the units digit of z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793.6 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/24*268\/(-1675)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 23. Let p be g(3). Solve p*r - 8*l + 17 = -3*l, 0 = 5*r - 3*l - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*r - 250*r - 7376 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 44939. Let q(b) = -2*b**2. Calculate n(q(o)).\nAnswer: 12*o**4 - 44939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/(5\/20 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 4, p: 2}. What is prob of picking 2 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 - -1.5. Let u = 50.5 + -57. Let v = u + r. What is v rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0. Let p = 1.717 + 3.283. Which is the biggest value? (a) 3\/5 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.04*-13.\nAnswer: 39.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -1 - 0 - (-17 + 15)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 + 2 + -3 + -33 + -1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 - 2*f. Let t(s) = 111*s**3 + 33*s. Suppose 3 = -4*j + j - 3*o, 4*j = 5*o - 13. Calculate j*t(u) - 33*k(u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6726 and -28\/4845.\nAnswer: 571710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -13*x**4\/2 + 33*x - 26. Find the first derivative of k(z) wrt z.\nAnswer: -78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -2 - (0 - 7). Suppose -3*o + 321 = -i, -4*i + k + 404 = 4*o. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -4. Suppose -176 = -4*k - 4*i, -k - i = n*k - 191. Is k 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 4:49 AM and 4:34 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38\/15 - 11\/5. Let p = 0.31 - 2.31. What is the nearest to b in 0.5, p, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -14*t + 0 - 2\/3*t**3 - 8*t**2 + 1\/6*t**4. Factor m(s).\nAnswer: 2*(s - 4)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 - 24912*p + 60808660\/3.\nAnswer: -4*(p - 781)*(p + 19465)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 + 13) - 7 - 2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 2*l - 3*l)*(676*l + 23 + 294*l - 23 + 1404*l) to the form g*l + p*l**2 + y and give p.\nAnswer: -4748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 38*x. Which is the closest to 1? (a) x (b) 9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -2\/13 (b) 17671 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 4*q + 0*q. Let c(y) = -y**2 - 16*y. Let t(f) = f**2 + 10*f. Let n(x) = -5*c(x) - 8*t(x). What is n(j(b))?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 11036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9320 and 101\/2640?\nAnswer: 615120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9492, -18981, -28470, -37959, -47448?\nAnswer: -56937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 485997 = 3*x, x = -3*x - 4. What is q rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*d + 8, -d = -j - 2*j - 4. Solve 5*m = -5*c + c + 16, j = 4*m - c + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -23. Let v = t + -10. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4 - 14. Suppose b + 13503 = -z*b. Let u = b + 3860. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30128587 is divided by 6446?\nAnswer: 6429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 12*h + 31. Let a be n(14). Let v(s) = -2*s - 4. Give v(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.788.\nAnswer: 3.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*l + 5*l - l)*(-27264 + 27473 - l - l).\nAnswer: -46*l**2 + 4807*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25417 is divided by 2118.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6304816 > -6304817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/4)*s)**35 assuming s is positive.\nAnswer: s**(385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -951, -1912, -2869, -3816, -4747, -5656, -6537, -7384?\nAnswer: -8191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, -1143 in ascending order.\nAnswer: -1143, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*k - 18 = 0, 0*z + z + 8 = 4*k. Let w = z + -20. Find the common denominator of w\/64*596\/18 and 55\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22878 + -4544. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/39*(1482\/38)\/(-39)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7623865541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2004 - 1.7996. What is the second smallest value in -4, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/192 and 65\/168.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 10:02 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 93\/23, 0.165.\nAnswer: 0.07, 0.165, 93\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -320132 (base 5) to base 4\nAnswer: -2212223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -27*x**2 + 3*x + 5. Calculate v(-2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-457*g - 4637*g + 16 + 21 - 36)*(3 - 2 - 3).\nAnswer: 10188*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 13. Let z = s - 74.1008. Let d = -0.1 - z. Round d to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*d**2 - 825*d**2 - 51*d**3 + 10 - 10 + 278*d**2.\nAnswer: -51*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1801 and -421346?\nAnswer: 758844146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/(-10))\/8*-10. Is r + (-6814)\/(-6) + 4\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 2*l**2 - 31*l - 82. Let i(y) = 2*y**3 + 5*y**2 + 61*y + 161. Let b(o) = -2*i(o) - 5*u(o). What is the first derivative of b(s) wrt s?\nAnswer: 3*s**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = b + 33 - 12, -3*u + b = 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16a5059 - 49?\nAnswer: -16a50a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51136?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 583204471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 18136*m**2 - 309188*m - 1274280.\nAnswer: 4*(m - 4551)*(m + 7)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -16, -9, -16, -43?\n\"Answer: -w**3 + 2*w**2 + 16*w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 + 11296*m - 354020 = 0. Calculate m.\nAnswer: -2855, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 229, 242, 271, 322?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.835526 centuries to decades.\nAnswer: 68.35526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44131 (base 5) to base 11.\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/(-1*sqrt(28)\/sqrt(4)))\/(sqrt(18)*5 + sqrt(16)\/(1*sqrt(8))).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 408\/9 - (-3)\/((-27)\/(-15)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {f: 8, r: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*r - 9*r**3 - 3*r + 7*r.\nAnswer: -9*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31255 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10890359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o**2 - 267*o - 9. Let l be n(-22). Is l greater than or equal to 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16)\/p)**(2\/89)*p**(-1\/9)\/(((p*p*p\/(p\/p**(-6\/17)))\/p)\/p*p) assuming p is positive.\nAnswer: p**(-15526\/13617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*d - 221926, -4*u + 23*d - 22*d + 443879 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from nnzntnt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/3? (a) 8 (b) 1\/3 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3 + 4*a**2 - 974*a + 22261 wrt a?\nAnswer: 3*a**2 + 8*a - 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239915689 or 239915686?\nAnswer: 239915689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423984 and 19272.\nAnswer: 423984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 2\/3*t**4 + 16*t**2 + 25*t + 0 + 0*t**3. Differentiate i(o) wrt o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13449.\nAnswer: 3, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2 - 7*g - 1 + 16. Suppose -44 = r + 2*r - 2*o, 2*r + 31 = 3*o. Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 0*g**2 - 2*g**2 - 2 + 3*g**2 + 1. Let h be m(5). Suppose -j + 0*j = -h. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-20) - (-87)\/(-12). Let k(h) = -4*h - 17. Calculate the least common multiple of 5 and k(f).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4) + 378\/(-36) + 9. Which is the closest to -1\/16? (a) -0.5 (b) -4 (c) u (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - ((-6)\/(-3) - 23). Let i be (6 + (43 - 24))\/((-15)\/9*-3). Solve -4*b + p = 9, -i*p - a = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(124\/(-8) + 8). Let u be (4 + (-22)\/l)*(-1 + -194). Calculate the greatest common factor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6119494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)\/h**(4\/5))\/(h*h*h**(1\/2)\/h)**25*h**(1\/9)\/h**(-7)*(h**(-1\/2))**(-34) assuming h is positive.\nAnswer: h**(-1297\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 43393?\nAnswer: 173572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)\/t**(2\/39)*t**2*t**2 assuming t is positive.\nAnswer: t**(-80\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. What is the common denominator of 6\/(-84)*164\/(-8) and (d\/(-5))\/(70\/(-475))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 243 = -d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4060)\/(-15) - (-2)\/(-3). Let s = k + -131. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + (18 - -3) + -34?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**4\/8 + w**3\/6 - 24*w**2. Give n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41648 and 15064.\nAnswer: 78423184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.1, 22.4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342\/23 + 18281\/1265. Let y = 3\/5 + f. Let i = -3.5 + -0.5. What is the smallest value in 2, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millennium in years?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20170*g**3 + 196*g - 1.\nAnswer: -121020*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085663183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226711 and 759.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 357*z - 1073. What is n(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 594864 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-4)*5 + -3)*140\/120.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/8))*p**7*p)**(-1\/6))**(-1\/2) assuming p is positive.\nAnswer: p**(65\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140161 - 2361?\nAnswer: -142552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-476)\/(-136) + 5*-1 + (-5963)\/(-2) and 14.\nAnswer: 20860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 4*c + c - 3823 + 3821 - 91976*c**2 - 4*c.\nAnswer: -91976*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2966 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12195, 4, 13, -21 in decreasing order.\nAnswer: 13, 4, -21, -12195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -130, -248, -354, -448, -530, -600?\n\"Answer: 6*t**2 - 136*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(4\/3)\/h)\/h)**(-8\/7)\/(h**(1\/6)*h)**(-16\/7))**(-14) assuming h is positive.\nAnswer: h**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4572 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 2*f**2 - 3*f - 3. Let j be a(-2). Let v(s) = s**2 - 2*s**2 - j + 45 + 7*s. Determine v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 73 - 39 + 3*w**3 - 5*w in the form n*w**3 + h + x*w + c*w**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p + 108. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4 + (-174)\/(-72). Find b such that a*b**4 - 4\/3*b**2 + 8\/3*b - 1\/3*b**5 + 0 - 2*b**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 - 1011)*(-1)\/2.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + c)*(2*c**2 - 2*c**2 + 2*c**2) + 7*c**3 + 4*c**3 + c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 y when three letters picked without replacement from wvywsvyvwvwsv?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -195019, -390120, -585223, -780328?\n\"Answer: -w**2 - 195098*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 3285238547.\nAnswer: 3285238546.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose a*n - 70 = -16. What is the units digit of 29\/9 + (-6)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (84\/378)\/((-2)\/(-27)). Suppose -x + 0*x = 2. Let o = 4 + x. Solve -o*j + 0*j + 2 = -y, 0 = j + t*y - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13167.985051 - 13168. Round o to 4 decimal places.\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 0.1 (c) 2 (d) 4\/7 (e) 11 (f) 85502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -189778346375988 - -6\nAnswer: -189778346375982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 8*x + 3. Let p be a(8). Let d(q) = -6166*q + 80139. Let j be d(13). What is the third smallest value in 3\/4, 0.2, j, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -81.6 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2915952644 to the nearest integer?\nAnswer: 54000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05659648 rounded to 4 decimal places?\nAnswer: 0.0566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {s: 3, a: 1, q: 12}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-119)*2788\/246\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4433321670.\nAnswer: 2, 3, 5, 147777389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -79254, -1 in decreasing order.\nAnswer: 5, -1, -79254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 1, 42, 3 in increasing order.\nAnswer: 1, 3, 42, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 239.721826 to the nearest integer.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73834619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 1*sqrt(432) - (-3 + sqrt(432) + 2 + sqrt(432) + sqrt(432)))**2 + (sqrt(336)\/(3*sqrt(448) - sqrt(7)))**2.\nAnswer: -192*sqrt(3) + 923682\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*u + 129*u = -23*u + 201056. What is the remainder when u is divided by 79?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + -30?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = -2*w, 0 = 4*s + 3*w - 7. What is the second biggest value in -10, s, -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-3)*(-30)\/25. Suppose -2*x - 7*x = 27. Let n(a) = -3*a**2 - 5*a + 11. Let k(i) = -i**2 - 2*i + 4. Let j(u) = x*n(u) + 8*k(u). Give j(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 4. Let k be (4\/12)\/((-2)\/12). Let j(h) = -5*h + 2. Let m(z) = 2*z - 1. Let p(l) = 3*j(l) + 7*m(l). What is k*p(t) - s(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -19\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 7*w = 36. Let c be ((-2)\/10)\/(w\/30). Let d = -1262\/9 - -140. Sort d, -0.3, c in decreasing order.\nAnswer: c, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 18*i + 66. Let z be a(10). Let d = -141 + z. Suppose x = 5*m - 490, 3*m - 5*m = d*x - 223. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -21*g + 18*g - 525, -g + 4*j - 175 = 0. Let w(x) = 100*x - 6. Let z be w(-5). Let d = g - z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 922138 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609101 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 5*y, 5*r - 8*r + 6 = 2*y. Suppose y*c = 6*c - 930. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1276131 and 31?\nAnswer: 39560061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*(1620\/63)\/9. Solve g = -15*c - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1681 - -2.\nAnswer: -1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13168.17 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310 by 23.\nAnswer: 310\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209.3 + -31.3. Let q = g + -178.0000091. What is q rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5003 + 7737. Let w = -2734.00001579 + c. Round w to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 600 - 597. Let r be (-190)\/(-350) - 2\/5. Put 3\/2, o, r, 5 in decreasing order.\nAnswer: 5, o, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 17*a + 4. Let w be f(16). Suppose h = 5*l - w, 5*l + 2*h - 20 = -h. Solve 3*s + l = -5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6185.6 - -6196. Is r at most 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101011 - 201?\nAnswer: -2101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-20))\/((-4)\/(-30)). Let l be (0 - 3)\/(z\/8). Let c be 2\/(-3*4\/18). Sort 1, l, c in decreasing order.\nAnswer: l, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 + 41*h**2 + 8*h - 27. Determine c(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 523536 (base 10) in base 9?\nAnswer: 877136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2746*p - 3112*p + 5849*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**3 - 2*p**2 - 4*p + 24. Determine a(3).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2965473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 9, 13, 2 in descending order.\nAnswer: 13, 9, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8626753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 701064 + -102964. What is g rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 35. Suppose 3*w + 7 = -k, -5*w + k + 2*k = -o. Let h(s) = -3 + 6*s + 1 + 5 - 2. Calculate h(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300177 is divided by 1401?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 12*m**2 + 0 + 4*m**2 to p*m + r*m**2 + z and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -87, 5, -5, 21 in increasing order.\nAnswer: -87, -5, 4, 5, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -2\/9, 0.1, 12, -48.3, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 230202?\nAnswer: 5\/16443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36025?\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 - 180. Let t(b) = -5 + 36 + 4 + n*b - 5. Let z(f) = -5*f - 6. Calculate 3*t(h) + 14*z(h).\nAnswer: 2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaa when three letters picked without replacement from {k: 2, a: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 + 8*n + 5. Let w be b(8). Suppose -w*o + 0*u - 22 = 4*u, -3*u = 9. What is the units digit of 1\/o + (-17)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2801\nAnswer: 2801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3954835 is divided by 4788?\nAnswer: 4735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4\/7 + 72*x**3\/7 - 192*x**2\/7 - 968*x\/7 + 156 = 0.\nAnswer: -3, 1, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 594287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r - 23*r + 7 = -2*h - 4, 5*r + 1 = 2*h - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -524 less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 7559943\nAnswer: 75599.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o = 32 - 297. Suppose -2*c = -4*r - 22, 3*c + r - 27 = c. Calculate the greatest common divisor of o and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s**3 + 3*s**2 - 5*s + 3. Give u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 111. Suppose 3*b = -0*b + 12. Suppose b*p + 51 = -4*d + 139, 5*d - n = -2*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 62274*m - 4869540.\nAnswer: 2*(m - 31215)*(m + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-912)\/(-60)*835\/668.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**2 + 660*u - 21780 = 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {p: 8, y: 5, m: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 268.129+81683.81\nAnswer: 81951.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u**2. Let c(p) be the first derivative of -2*p**5\/15 - 49*p**2 - 56. Let l(s) be the second derivative of c(s). Calculate l(x(n)).\nAnswer: -1800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.9 - 1104258163?\nAnswer: -1104258125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 15*l - 10*l. Calculate the greatest common factor of l and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -76*l + 107508. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63034 divided by 1?\nAnswer: 63034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 5 = -1090. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37884397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3430 by 5.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1113627 and 29083?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42301100?\nAnswer: 2, 5, 17, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/3 - 5*r**2 + r. List the prime factors of d(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k + 9*k - 39*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1 + 6*q**2 + 1 + 2. Let z(m) = -3*m**2 - m**2 - 4*m**2 + 2 + 11*m**2. Let s(p) = 4*j(p) - 7*z(p). What is the derivative of s(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-4)\/(-12)*-3). Solve -m - 2 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59119, -59126, -59147, -59188, -59255, -59354, -59491, -59672?\nAnswer: -59903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*p + 1945 = 0, 0 = -5*j - 5*p + 1844 + 1406. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, z: 2}. What is prob of picking 1 z and 2 q?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13 + -3 - 20\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 10:58 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (24\/10)\/((1656\/(-180))\/23)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(-176)\/88.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/6 + 3*b**5\/4 + 5*b**4\/2 - 20*b**3\/3 + 32*b - 3. Factor h(u).\nAnswer: -5*u*(u - 4)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/(-50)*-6)\/(384\/320)*-4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12747063 - -71?\nAnswer: -12746772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1208 and 1579913?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9698411 to the nearest one thousand.\nAnswer: -9698000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 389 - 378. Suppose 0 = 3*g + 2*m - o, 0*m + 3 = 3*m. Solve g + 15 = -6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.6 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -72500 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*t + 75 = 0, -n - t - 85 = -4*n. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163876 smaller than 163875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 2. Let m(f) be the third derivative of f**4\/3 - f**3\/3 + 15*f**2. Give 4*m(s) + 5*q(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 30 = -2*k. What is the units digit of (k\/(-6))\/(3\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37168.22 minutes in seconds?\nAnswer: 2230093.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 0*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-15))\/(8\/(-20)). Let q be t\/(-2)*12\/45. Let 2\/5 + 4\/5*d + q*d**2 = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.6 (b) -33 (c) 0 (d) 17\/197 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -35. Let m be (2\/2)\/((-14)\/42*-1). Calculate the remainder when m\/(-6)*(-9 + 9) + 52 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -18059*t**2 + 13*t - 78. Let f(c) = -2091834*c**2 + 1506*c - 9036. Let g(k) = -1506*b(k) + 13*f(k). Let s(d) = d. Give g(s(v)).\nAnswer: 3012*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724629, 1449232, 2173833, 2898432, 3623029, 4347624, 5072217?\nAnswer: 5796808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t**3 - 49*t**3 + 39*t**3.\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by -47611.\nAnswer: 134\/47611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -3\/4, 1\/3, -182, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5833740 is divided by 173.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9110 = -5*z, 3*x + x + 8 = 0. Suppose -1819*n - 1007 = -z*n. Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.0281899 rounded to one dp?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3 = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1\/2, -1\/28 in increasing order.\nAnswer: -1\/2, -1\/28, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615 divided by -30.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 41325.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 391 + 65. Suppose -n = n - g. Suppose -n = -3*o + 4*r, 5*r + 27 = -3*o + 114. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0291 * -20\nAnswer: -0.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -20. Suppose q - h + 1 = 0. Suppose q + 17 = c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.5? (a) 0.2 (b) -5 (c) 15286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g. Let b(s) = -5*s**2 + 3*s + 65. What is q(b(r))?\nAnswer: -10*r**2 + 6*r + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268708 is divided by 35529.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -483 + 8184. Is p\/17 - (1 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6903 divided by -117?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {g: 1, i: 1, f: 7, u: 5, l: 2, r: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.056 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 3*v - 3*v)*(4 - 4 + 1)*(-2*v + v - v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3a8c5 (base 15) to base 10\nAnswer: -187610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 + 5263*b - 26350. Give o(5).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7 = 3*c. Solve -y + 2*p - 9 = -2*p, 0 = -5*y + p - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8808 is divided by 1100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -508*a + 640. Does 46 divide m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9 times -0.1536?\nAnswer: -2.13504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2977350 divided by -2\nAnswer: 1488675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 678149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 57*p**2 - p. Let u be g(1). Let x(o) = o**2 + 17*o - 14. Let v be x(-20). Let w = u - v. Let y(m) = -m**2 + 10*m - 5. Determine y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2710 = -28*r + 32*r, 3*r = -2*f + 1084. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 77. Suppose 2*m + 8 = 4*w + 6*m, -3*m + v = 5*w. Solve 0 = 4*h - 3 - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6904*b = -6900*b, -15 = -3*u - 2*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 649\/2, -1\/15, 1\/4?\nAnswer: 649\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/11 + 4\/(-22). Let s be (2 + x)\/((-1)\/(-4)). Suppose 3*i + 12 = 3*j, -i - 4 - 10 = -3*j. Solve -j*g - 5*f - s = 0, 3*g = 5*f - 7 + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2382 and 102.\nAnswer: 40494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 3*d**3 + 2*d**3)*(0 + 0 + 2*d) + 0*d**4 + d**4 + 0*d**4 + (-d**2 + 4*d**2 - 4*d**2)*(1 - 1 + d**2).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l. Let q be m(4). Suppose 11 = 3*a - 1, -q = -2*d + 2*a. Let g = 95 + 121. What is the greatest common divisor of g and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 - 18 - (-12 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:52 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.1 - 7. Which is greater: 2\/3 or q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30*(4 + 234\/(-56)) and -11\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*v - 14, -2*v + 0*v - 16 = -4*o. Suppose 4*b = -t + 4*t - 11, -20 = o*t + b. Put 2, -4, t in increasing order.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghc when three letters picked without replacement from gch?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/126160 and -61\/35856.\nAnswer: 3406320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*x + 1463 = 578*x + 188 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 15 = -5*w, 3*z + 2*w - 21 = 8*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, 0.4, -973 in decreasing order.\nAnswer: 0.4, -1\/4, -4, -973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i - 88. Let x be (-4)\/i + (-82)\/88. Which is the second smallest value? (a) -2 (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -20\/389399, -0.5 in ascending order.\nAnswer: -0.5, -20\/389399, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g + 448. Let j = g - -226. Solve 0 = p + 2*t + j, -4*t = -3*p + p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 4*l**3 - 4*l**3 + 4*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*30\/45 - 6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g**4*s - 12*g**4 + 8*g*s - 2*g wrt g?\nAnswer: 120*g**2*s - 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 59 = -9*b. Let s(q) = -1 - 62*q - 22*q + 15*q - b*q. Let d(r) = -2*r. Give s(d(w)).\nAnswer: 164*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 962316.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -431*m**3 - 516*m**2 + 777*m + 170.\nAnswer: -(m - 1)*(m + 2)*(431*m + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 297. Let s = z + -121. Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/49 + (-30)\/(-7). Solve -p*b + 11 = -3*s, s = -b - 0*b - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b - 29. Determine t(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 18, 40, 78, 138, 226, 348?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 1 + r**4 - 3887*r + 3887*r - 5*r**3 to d*r**2 + a + b*r**4 + m*r**3 + v*r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16058, 64264, 144610, 257096, 401722, 578488, 787394?\n\"Answer: 16070*q**2 - 4*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 - 22300*u\/3 + 289562\/3.\nAnswer: 2*(u - 11137)*(u - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -333551*o**2*s - 124065*o*s wrt o.\nAnswer: -667102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 18*m + 26. Let i be p(-27). Suppose -q - i = -744. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90816682 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1005 - -1033.08. Let k = -30.9 + o. Let s = k + 2.3. What is s rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-125735.\nAnswer: 251470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/7 - 384*o\/7 + 776\/7 = 0 for o.\nAnswer: -194, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.313264491 rounded to 5 dps?\nAnswer: 0.31326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4623 and 578979?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/7 - 282067424*o\/7 + 9945253960249472\/7 = 0. What is o?\nAnswer: 70516856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exxs when four letters picked without replacement from xexbbs?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8374 and 38655762?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/4 + 341*q + 95832 = 0. What is q?\nAnswer: -968, -396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 405873032 - 4?\nAnswer: 405873027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(45)*-2*5)\/(sqrt(144)\/sqrt(3)))\/((sqrt(10)\/sqrt(2)*5 - sqrt(405)*-2)*-6).\nAnswer: -3 + 5*sqrt(3)\/276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112665.3 and -2.07.\nAnswer: -233217.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -350066 + 350066 + 6413*w + (-6*w + 4*w + 0*w)*(4 + 1 - 4) to the form x + j*w and give j.\nAnswer: 6411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 4981, 16941, 40243, 78667, 135993?\nAnswer: 216001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 - 4 + q**3 to k*q + i + f*q**2 + c*q**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-104)\/(-80))\/13)\/(2*2\/(-12))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -150489710 rounded to the nearest ten thousand?\nAnswer: -150490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493 a factor of 192531308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + n - 27, 5*n + 9 = -g - g. What is the highest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.44 (c) -0.2 (d) -2\/7 (e) -1 (f) -0.4 (g) -149\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1751*l - 74145 = 1748*l. What are the prime factors of l?\nAnswer: 5, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/24 + (-45234)\/216*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 13*x**2 - 13*x - 4. Let b be z(14). Let m = b - 12. What are the prime factors of (0 - m)\/1 + 744\/8?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 6. Let q be k(11). Suppose q*h = 3*h - 2. Let w = 12 + h. What is the lowest common multiple of 4 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 11*c + 3. Let o be i(11). Suppose -w = -3*x + 6 - 5, o*w = 3*x - 9. Which is greater: -2\/33 or x?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*r + 41, -k - 29 = -7*r + 2*r. Put k, -1, -5 in descending order.\nAnswer: -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213 + 247.6. Let q = v - 17.9. What is q rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, c: 5}. What is prob of picking 2 c?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Suppose -6*n + n - 53 = -a*b, -n + 63 = 4*b. Calculate the least common multiple of 18 and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.123 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12595410 by -2519082.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from eqqbq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.96242 decades in months?\nAnswer: 10915.4904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = g + 4*c, 13 - 2 = 3*g + 4*c. Let x = g - -2. Suppose -5*i = z - 33, i + 8*z = x*z - 3. Solve -5*s + 4*l = 25, -i*s - l = -3*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(20 + 4))\/(4\/22). Let d = w + 470. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12692587138592.5 from -2.\nAnswer: 12692587138590.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (32 - (0 + -6 - -16 - 21 - -1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 2*o + 3. Determine y(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 14*i + i**2 + 0*i - 21*i.\nAnswer: i**2 - 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 35*r**2 + 72*r + 461. Calculate u(14).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 5:27 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 2. Let l be o(-2). Let i(n) = -n - 5. Let w be i(l). Let f(b) be the third derivative of 3*b**5\/20 + b**3\/6 - 2*b**2. What is f(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*v - 2, -4*v + 3*i - 3 - 4 = 0. Let z be v\/6 + (-19)\/3. Let b be -4*z\/(6\/3). Calculate the highest common factor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erf when three letters picked without replacement from {e: 8, f: 3, t: 1, r: 1, j: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -5 + 0*i + 0*i**2 - 5\/3*i**3. Let f(l) = -2*l. Give f(k(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:31 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 + 805*d + 1. Let i(b) = -b**2 - 1118. Determine n(i(c)).\nAnswer: c**4 + 2236*c**2 + 1249924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 3) to base 14\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -286, -470, -674, -898?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 13 + 33. Let j(m) = 9 + 7*m - b + 2 + 3*m. Does 6 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -436*n + 436*n - 4*n**2 + 2*n**2. Let q(b) = 9*b**2 - 11. Let a = 2 + 4. Let s(h) = 2*h**2 - 3. Let v(d) = a*q(d) - 22*s(d). Calculate o(v(l)).\nAnswer: -200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:00 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471123.\nAnswer: 73, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*j = -16, 32 = 3*n + n + 4*j. Let k be (-4)\/n + 9*-3. Is k\/3*2634\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689018 divided by 7?\nAnswer: 689018\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + (2 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -52560*l. Let t(x) = 5*x**2 + 77*x. What is t(u(w))?\nAnswer: 13812768000*w**2 - 4047120*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - 2*b + 2*b)*(b**3 + 23*b**2 - 62*b - 21*b**2 + 58*b).\nAnswer: -4*b**5 - 8*b**4 + 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.4. Let f = 19\/23 + -156\/161. What is the second smallest value in 5, t, -1\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.4 (c) -2 (d) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:52 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*c + 2*c + 17, -5*c + 65 = 4*b. Suppose 0 = -3*q + 4*w - 2*w + 3, q - 1 = w. Calculate the highest common divisor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-2*-4 + sqrt(132) + 4*sqrt(132)*1 + sqrt(132))\/(sqrt(60)\/(sqrt(30)\/sqrt(6)) - 6*(sqrt(432) + sqrt(12))).\nAnswer: -14*sqrt(11)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -32*l**3 + 5*l**2 + 11. Let n(t) = 16*t**3 - 3*t**2 - 5. Determine -5*n(q) - 3*w(q).\nAnswer: 16*q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - -0.0899922. Round h to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 420882?\nAnswer: 420882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.28 - 0.18. Let l = g - 2.1. Let p = 51 - 60. Which is the nearest to l? (a) -0.1 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66201358 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = 3*d, 2*d - 5 = 182*g - 185*g. Solve -2*j = 3*p + 3, -12 = -3*p + g*j - 2*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 659c5a + f?\nAnswer: 659c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 21*u - 794. Determine k(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -39*z**2. Let j(r) be the first derivative of 2*r**3\/3 + 139. What is j(a(p))?\nAnswer: 3042*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 5*x**2 - 13*x + 7. Let r be f(-7). Let a be (-5 + (-55)\/(-15) - 0)*-6. Solve r = 3*h + 5*d - 19, 0 = -h - 2*d - 1 + a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 255832 - 484343 = 192609. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - f**2 + 5. Let u be b(0). Sort 0, u, 2.\nAnswer: 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2 - 21*b**2 - 34*b**2 + 8*b**2. Let m(o) = -201*o + 201*o - o**2. Give m(v(l)).\nAnswer: -1681*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21\/104, 0.4, 56\/3?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31 and -2815859379907?\nAnswer: 2815859379876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10940 = -27*q + 7*q. Which is smaller: q or 549?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 1\/2, 4, 5, 3391, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101011111 + -1?\nAnswer: -101011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 434 = -2*u, -w + 4*u + 0*u + 444 = 0. Let v = w - 233. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/15*3*0. Suppose 3*u + 12 = w, -2*v + u + 4*u + 28 = 0. Let g(l) = -l**2 - 1. What is g(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 470 - 3066. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -223?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 0 - (7622 + (0 - -3)). Let m = -381383\/50 - a. What is the common denominator of m and -52\/15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let l = -2.09831 - -3.09831. Which is the second biggest value? (a) d (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/((-323)\/(-136)) - 3\/(-1). Solve -d = -10*b + 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33837514 to four decimal places.\nAnswer: -0.3384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 4\/3 (c) 4\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = -3*u, -u - n = 4*u - 4. Solve 3*h - h + 10 = u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -71. Let g be -4 + 1 + 8 + -2*u. Suppose -g*n - 864 + 5385 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 62 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 + -93826767.\nAnswer: -93826766.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 91*r - 7. Is 32 a factor of x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(81\/648)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 - 31*s**3 + 335*s**2 + 867*s - 1170 = 0 for s.\nAnswer: -39, -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Suppose -2 - 15 = -2*w + g, 2*g = -5*w + 20. Let x(t) = 41 - 19 - 21 - w*t. Give i(x(c)).\nAnswer: -72*c**2 + 24*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most as big as -181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 1. Let q(w) = w**2 - 18*w + 1. Let i be q(18). Which is the nearest to -2? (a) 0.1 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (3\/5 - (-24)\/(-15)) + 1472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 37*h**2 + 2*h - 1. Is t(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/6 + 5*l**2\/2 + l. Differentiate z(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5687 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - c + 2, 0 = 4*u - u - 5*c + 10. Suppose -3*m + 8 = 3*a - 25, -4*a + 3*m + 44 = u. Suppose -2*j + 3*j = a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*2\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1741 in 1\/6, 0, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r. Let u(h) be the third derivative of h**4\/3 + 46*h**2. Give g(u(y)).\nAnswer: -64*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i + 11. Let g(w) = 17*w + 29. Let c(r) = 2*g(r) - 5*k(r). What is c(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27972 and 8511480.\nAnswer: 59580360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 3*b**5\/10 - 3*b**4\/8 - b**3\/2 + 3*b**2\/4 - 5. Factor p(y).\nAnswer: 3*y*(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.66 - -10.66. Which is the closest to 1\/5? (a) 15 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 17*n + 67. Let b be v(9). Let l be (b + 3)\/(0 + 8\/(-60)). What is the highest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.257 + 0.257052. Round j to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 97316.\nAnswer: 97315.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mammmmmmmmmmmmmammmm. What is prob of picking 3 m and 1 a?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -93*z - 16. Let x be q(8). Let b(y) = y + 6. Let s be b(-6). Calculate the common denominator of (s - 0) + x\/64 and -29\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*j = -j - 13, -t + j = -2. Let n be 52\/14*(0 - 1). Let i = 4 + n. Which is the closest to t? (a) -0.4 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -68. Solve 0*f - 2*f**u + 1\/2*f**2 + 0 = 0 for f.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9226.456ml?\nAnswer: 9.226456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/80 + f**4\/48 - 6*f. What is n in h(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23639, 23640, 23641?\nAnswer: 23642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -369+202.23725954\nAnswer: -166.76274046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(475))**2 + sqrt(475) - sqrt(475) - (-3 + -2*sqrt(19))) + (sqrt(19) + (sqrt(152)*-2)\/sqrt(8))**2 + 5*(sqrt(19)*2 - sqrt(19)).\nAnswer: 17*sqrt(19) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kxxkkkx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 8512806?\nAnswer: 34051224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.15 + 1.15. Which is the closest to v? (a) -0.8 (b) 1\/7 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6177 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265048 is divided by 69.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwwnnllltlttn. What is prob of picking 2 w and 1 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789824989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -182, -184, -186, -188, -190?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836046 and 1440?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + 11. Let t = -20 + i. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**2 + 7451608*y + 37257940 = 0.\nAnswer: -1862897, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 38.98. Let z = 1.02 - d. What is the third biggest value in z, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637 + 1283 - 24*l - 642 + 22*l.\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1702 and 290.29964622.\nAnswer: 1992.29964622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0704 + -34.1704. Let v = -34 - r. What is the fourth smallest value in 3\/4, 0, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 6*x**2 - 114*x - x**4 + 3*x**5 - 5*x**4 - 11*x**3 - 16*x**3 + 138*x = 0.\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5179*h**2 + 32*h - 4. Let f be n(1). Is f less than -5151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p - 7 - 2 + 1. Let q(z) = -6*z - 7. Let u(x) = 6*x + 7. Let b(t) = 3*q(t) + 4*u(t). Let a be (-1)\/((-4)\/40*2). What is a*k(r) + 6*b(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 27*v + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by (-16)\/(-72) - (3 - (-10052)\/(-126)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 99*f - 80. Let h be a(32). Solve -m - 2 - 5 = -2*d, 3*m = d - h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7062009 greater than or equal to -7062008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + 14\/(-3). Let y = d + 8. Let p be y\/9 + 146396\/12. What is p rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1493 + 1b7?\nAnswer: 167a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1593282 by -8.\nAnswer: 796641\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 + 20568*f**2\/5 + 24673*f - 143934\/5.\nAnswer: (f - 1)*(f + 7)*(f + 20562)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 1140467800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -326.3 - -324.3. Which is the smallest value? (a) -53 (b) 10 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045823 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 5*r**2 + 2*r - 2. Let x be f(-6). Suppose 2*i + 4*k = 3*i - x, 5*i + k = 5. Solve -h = -y - 3, -i*h = -y + h - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + c = 3*x + 995, 0 = c + 1. Let o = x - -2239\/9. What is the closest to -0.1 in 76, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 - 2 = 0. Let c be (2\/(-4))\/(k\/8). Solve 5*o = 4*s - 36, c*o - 2*s - 5 = -21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 2, u: 1, v: 1}. Give prob of sequence gjju.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1*(2 + -1). Let a = b + 11. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 q when three letters picked without replacement from qrrqrqrrqrrqr?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2297*h**4 + 11*h**3 - 12*h - 2296*h**4 + 2 to the form m*h**2 + s*h**4 + t*h**3 + b*h + r and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r + 472 + 63 = -114 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + ((2*sqrt(121)*-4)\/(5*(sqrt(11) + sqrt(11) + sqrt(44)\/sqrt(4) - sqrt(11))) - 2*(((-1 + sqrt(1584) + sqrt(1584))*4)**2 + sqrt(1584))).\nAnswer: -202788 + 7556*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*c**3 + 10*c**3 + 3*c**3)*(2*c - 3*c + 3*c) + 2*c**4 + c**4 - 2*c**4 to the form u*c**3 + t + j*c**4 + a*c**2 + y*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -7*s - 16*s + 1650. Solve -4*k - s = 7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -723 + 1256. Let f = i + -525. Solve -57*r = -55*r + f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60855 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + 32\/(-5). Let m = 6 + o. Which is bigger: m or -1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:31 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (2 - 4))*(-1)\/3. Does -1\/62 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d. Suppose -4*t = -4*i - 1420, d*i = -i - t - 345. Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 49 - 22 - 12*p + 44. Let o be z(-9). Let h be (-10)\/45 - (-34)\/o. Is h not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-275)\/(-99)))\/(((-4)\/(-90))\/(50\/(-150))).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -940, -1, 2, -5, -3 in decreasing order.\nAnswer: 3, 2, -1, -3, -5, -940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z - 13. Let l(u) = -11*u + 9. Let i(m) = -5*g(m) - 8*l(m). Let r be i(7). What is the highest common divisor of 112 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -62886 at most as big as -66731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + -3*(4*sqrt(33)*2)\/(sqrt(6)\/(sqrt(6)\/sqrt(3))))*-3.\nAnswer: -360*sqrt(11) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1743568 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098001997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Suppose -2 - 23 = -5*s. What is the smallest value in a, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/5008 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 3 + 22 + 3 + -4?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/7)*t**(6\/11)*t*t**(-7)\/(t*(t**(2\/7)\/t)\/t)*t**(-6)\/t*t**7*(t**(-6)*t)\/t*t\/(t*t**(-1\/4)\/t*t) assuming t is positive.\nAnswer: t**(-3099\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 43.112. Let o = 0.11066 + z. What is o rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.3043 less than 0.53?\nAnswer: -82.7743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*1554\/(-5082)*11.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*a**5 + 0*a + 2\/3*a**2 + 0 + 2*a**4 + 2*a**3.\nAnswer: 2*a**2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55845 + -16902. Suppose -10*j + j + r = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 15*j + 32. Let w be c(8). Let b be (-38)\/w*4\/9. What is the nearest to 3\/2 in -5, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3125, 11481, 25091, 43955?\n\"Answer: 2627*u**2 + 475*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 208*b**2. Let x(k) = 11*k**2. Determine x(u(w)).\nAnswer: 475904*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -97. Suppose -d*w + 2*m - 43 = -6*w, -4*m + 233 = 5*w. Suppose -6*a + w = -737. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 3*p**2 - 2*p + (2 - 3 + 0)*(2 + 0 - 4)*(-p**2 + 0*p**2 + 0*p**2).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*d - 39. Let o = 86 + -88. Calculate the remainder when d is divided by 6 - (-3)\/((-3)\/o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*b - 14 = 0, -20 = -5*r - 9*b + 4*b. Suppose -r*p - 4 + 2 = 4*c, 0 = -5*p + 4*c + 18. Are 9\/16 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = -4*b, -4*q + 4 = -3*b - 8. Solve q*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.1 - -11. Let k = f - -0.0982. Round k to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165 * -0.01.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360159 = 7*n - n - 948051. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4\/3 - 148*y**3\/3 - 16*y**2 + 1104*y - 1728 = 0. Calculate y.\nAnswer: -36, -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 176489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g**2 + 9*g**2 - 18*g**2 - 124*g - 10*g**3 + 5*g**3 wrt g.\nAnswer: -30*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -939.7647 rounded to the nearest ten?\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 9. Let h be r(-11). Solve h*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2. Let j(l) be the first derivative of -l**4\/24 + 5*l**2\/2 - 2. Let c(s) be the second derivative of j(s). Determine c(v(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 175154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 20*r + 17*r - 56*r + 546 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 < 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46*1*(-14 + 16). Let o = z - 9. Suppose -66 = -4*y + 2*t, -t - o = -5*y + 2*t. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 39. Let x(l) = 14*l**2 - 9*l + 9. Let w(o) = -5*o**2 + 3*o - 3. Let a(i) = -8*w(i) - 3*x(i). Let u(r) = -2*r**2 + 2*r - 2. Give c*a(g) - 3*u(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 74.39. Let i = 0.44 + s. What is the third biggest value in 0, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i. Let h = 0.1 + 0.9. What is the third smallest value in i, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5103082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**3 + h - 1. Let b = 27 + -12. Let a = b - 3. What is the lowest common multiple of a and t(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 3. Let i(u) = -3*u + 6. Give 2*i(n) - 5*r(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2352 - 2352. Let r = -1835\/13 + 141. What is the third smallest value in 1, r, 2\/5, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2723*c + 24509. Calculate t(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6ab0 - 315b7?\nAnswer: -26707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + -1 - sqrt(1008)) + -1 + sqrt(21)\/sqrt(3) + sqrt(7))**2 - 1*(sqrt(448)*2)**2 - ((-1 + sqrt(252) + -4)*-2 + 3).\nAnswer: -1773 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79666 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*v - 10 + 24, 0 = 4*w - 4*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000087638233 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 64492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1951, -1953, -1957, -1963, -1971, -1981?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295072 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(1900)*-5 - -3*(-1 + sqrt(1900)))**2*1*-1)*3.\nAnswer: -279312 - 1260*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32856 times 2.41?\nAnswer: 79182.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38 + 19 + 13 + 27*w**2 - w + 12 wrt w?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -215 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4154108378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -18*d - 43. Let n(u) = -62*u - 130. Give -2*n(b) + 7*s(b).\nAnswer: -2*b - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 - -20.9. Let p = i + -23. Let x = -85\/18 - -56\/9. Is x at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 351821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + -0.5. Which is the biggest value? (a) -0.5 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 - 0) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjzjzpffjjfzffp. What is prob of picking 2 p and 2 z?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 11) to base 7\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77773, -77918, -78167, -78526, -79001, -79598?\nAnswer: -80323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 704, 702, 700?\n\"Answer: -2*s + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34240 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8951.7 and -564.56?\nAnswer: 9516.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 3*c - 407. List the prime factors of c.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j + n = -41060, 3*n = -5*j + 41040. Suppose -8*b = 15*b - j. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 16 = -z + 2*v, 3*z = -2*v - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from pllpppllplpppulll?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -4, 412, 1008, 1790, 2764, 3936?\nAnswer: 5312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589 a factor of 78990457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5 - 651*y**4 - 52380*y**3 - 1956000*y**2 - 33312000*y - 195840000 = 0.\nAnswer: -85, -40, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*m - 285*m = -52500. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10442791 less than 10442782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**2 + 27*p**2 - 21*p**2.\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p + 4*p**2 - 4*p - p - 1. Let z be r(1). Let s(d) = 31*d**2 - d. Let j be s(-1). Calculate the greatest common factor of j and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 141\/8, 3 in decreasing order.\nAnswer: 141\/8, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**4 - 36*f**3 + 23*f**4 + 18*f + 11*f**2 - 44*f**2.\nAnswer: 3*f*(f - 3)*(f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-1870)*-15*11\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 7563?\nAnswer: -7561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ggpppppggpgp?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/11 and 54\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1488952350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19121*t + 19123*t - 12*o = -0*o - 326, -84 = -3*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -30\/49369?\nAnswer: -30\/49369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11435 and 22870.\nAnswer: 22870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4440\/168 + 12\/21. Calculate the greatest common factor of 4401 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-16))\/((-8)\/16))\/(2\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*c + 4868, -3*c + 3*m - 917 + 5786 = 0. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.2, -1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63774 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14283427 times -0.01?\nAnswer: 142834.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-185)\/(-666)*-2*6\/20\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r*r*r*r\/(r*r*(r*r**4)\/r*r*r)*r)\/((r**(3\/2)\/r)\/r*r*r**(2\/5)) assuming r is positive.\nAnswer: r**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 3*b - 3. Suppose 0 = o + 4*o - 95. Suppose -5*w + 31 = 2*x, 0 = 3*x - x + w - o. Let u(q) = 3*q**2 + 8*q + 8. Calculate x*m(j) + 3*u(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37969157 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6127, -11093, -16059?\n\"Answer: -4966*i - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 14, 50, -46, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeexx. Give prob of sequence eee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 + 31*x + 1. Give c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33.7? (a) -1 (b) 2 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138781 and 99325?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658360 is divided by 693?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254\/35 or 52513?\nAnswer: -254\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {f: 1, m: 1, n: 1, o: 1, y: 2, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + sqrt(192)*-4 + -2.\nAnswer: -24*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39463464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -111728940 to the nearest one hundred thousand.\nAnswer: -111700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589874 is divided by 2039.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (6*(sqrt(1377) - sqrt(1377)*1)*2 + -4 + 4)*-2))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(35)\/sqrt(7)) + 1)**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {r: 2, b: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.009 or -7419?\nAnswer: -7419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*g + 14 + 13, 39 = -5*g - 2*q. Which is greater: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 63349.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(98)) + 3*(-1*sqrt(98))**2)*5*-2.\nAnswer: -2940 - 280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 144010342414?\nAnswer: 144010342443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26680 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.8. Let y = 145 - 300. Let f = 154.941 + y. Put z, 2, f in decreasing order.\nAnswer: 2, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -391.\nAnswer: 391.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -463143*h**3*p**3*y + 27*h**3*p**2*y**2 + 26*h**3*p**2 - 437*h**2*p - 68*h*p**3*y**2 - 6*h*p*y**2 wrt p.\nAnswer: -2778858*h**3*y - 408*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.34289 years to centuries.\nAnswer: 0.1034289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104.81 - 237.74. Let y = 140.4 + l. What is y rounded to one dp?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2546838 by -2378.\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -5*a - 2*k - k, 0 = -a + 4*k + 16. Let s = -24 + a. Suppose 3*w = s*w - 11. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 46567661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/6 + 4\/(-12). Suppose -x*y = -7*y + 235. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 372\/5 - 73. Which is the third smallest value? (a) 2\/9 (b) l (c) 3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -8, 3, -2\/195, -0.19?\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235314451?\nAnswer: 235314451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6690961 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abwurut. Give prob of sequence tb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*7*4\/(-168)*-6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 127068?\nAnswer: 127068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 90992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0*r)\/r)**(-1\/48)\/(r**(-6)\/(r*r**(-4)*r*r)))**(3\/17) assuming r is positive.\nAnswer: r**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/6)\/((-10)\/(-2905933)). Let z = w + 48431. Calculate the common denominator of 71\/32 and z.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, n: 4, u: 12}. Give prob of picking 1 u, 2 z, and 1 n.\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 2*z + 2*k, 5*k + 6 = -14. Let f = 103 + z. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:10 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -3. Suppose m*p + 30 = -30. Let x be (-4 - -2)*p - 0. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atb when three letters picked without replacement from hbtaaasdathad?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - sqrt(144)*2)\/((sqrt(2) + sqrt(6)\/sqrt(3))*6) - (sqrt(14)\/(5*sqrt(28) + sqrt(7)) + -1).\nAnswer: -13*sqrt(2)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 502264400 a multiple of 2321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j. Suppose 147 = 10*s - 423. Suppose 5*n - 28 - s = j. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l - 32 = 0. Let f be -2*(-4)\/l*-50. What is the second derivative of j + 2*j**3 + f*j**2 - 25*j**2 - 5*j**3 wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a391 (base 15) to base 8\nAnswer: 554104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -52*n + 2. Let r(w) = -317*w + 11. Calculate 34*h(u) - 6*r(u).\nAnswer: 134*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-70) - (-1188)\/120\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420429427?\nAnswer: 271, 5241437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -3, 38 in decreasing order.\nAnswer: 38, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2 - 1. Let r(w) = -4*w**3 + 2*w**2 - 2*w + 2. Determine 2*k(i) + r(i).\nAnswer: -6*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-120)\/(-5))\/((-15)\/(-10)). Suppose -j*m + 2382 + 16514 = 0. List the prime factors of m.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, f: 3, e: 3}. What is prob of picking 1 f and 2 i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-15 + 8 + 9 - 48*n)*(4*n**2 - 2*n**2 + 0*n**2).\nAnswer: -96*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.06705737.\nAnswer: -0.026822948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -280, 45, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-150 - -148) + 2 + 9 + -3 - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73557.64 kilograms in micrograms?\nAnswer: 73557640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + f = 31730, 5*f + 15858 = n + 2*f. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 7*q**6\/120 + q**5\/30 + 5*q**4\/24 - q**3\/6 + 5*q**2. Let r(m) = -4*m**3 - m**2 - 3*m + 1. Give -5*r(b) - 3*z(b).\nAnswer: -b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.44589 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 4966 + 5079 + 7*m.\nAnswer: 8*m + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o. Let h(z) = -4*z**2 + 6*z. Calculate h(y) + 6*w(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*m - 38 = 5*o - 429*m, 4*o - 51 = 29*m + 8 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 440.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2.4 (c) 0.1 (d) 2 (e) 3 (f) -5\/4 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1130 and -143\/33172860?\nAnswer: 3748533180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -2.07. Which is the nearest to o? (a) -2\/15 (b) 0.6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 16*p - 113. Let d be (0 - 1)*56\/7. What is the hundreds digit of k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132))\/sqrt(12) + (sqrt(99) - (sqrt(99) - (sqrt(99) + sqrt(99)*1)))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/766439 or -1?\nAnswer: 2\/766439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 82.4. Let u = h + 8.4. Let f = -33 - -34. What is the closest to f in 1, -0.5, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pptp when four letters picked without replacement from {i: 2, p: 3, f: 1, a: 1, n: 8, t: 3}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8145 = -2*t + 5*i, 3*t = 3*i + 3269 - 15464. What is t rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*x - 29, 19*x - 25 = 24*x. Let i be -1 + 6*282\/9. What is the greatest common divisor of o and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -1.462?\nAnswer: -1.462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -387*a**3*j**3 - 2*a**2*j**3 - 2*a**2*j - 28*a*j**3 wrt a?\nAnswer: -2322*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.51574ml to litres.\nAnswer: 0.08251574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 34. Let r be (o - -4 - -82) + -2. Suppose 2*h = -5*l + 3*h + r, -2*h = -5*l + 77. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 5 + 1 - (125 + -124)) + 29\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:30 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j. Let g be n(1). Suppose 2*x + 10 = -4*b + 34, 11 = 3*b - 2*x. Suppose -4*q + c + 11 = -b, -g*c + 1 = -3*q. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + f - 37, -29240*f + 66 = -6*g - 29238*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*j**2*s**3 + j**2*s + 4*j**2 + 3*j*s**3 - 1895*s**3 + 33*s**2 - 9*s wrt s.\nAnswer: 534*j**2 + 18*j - 11370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2. Let x be t(1). Let z(u) = -u**2 + 5*u + 3. Let d be z(5). Let o(w) = -7 + 5*w**2 + 5*w + w**2 - w**d - 2*w**2. Calculate o(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 + -4 - 0 - 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -417*d**3 + 82*d*i**2 + 61*d*i + 53495755*i**2 wrt d?\nAnswer: -1251*d**2 + 82*i**2 + 61*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -208*x**5 - 2268*x**4 + 2724*x**3 - 152*x**2 - 96*x = 0.\nAnswer: -12, -2\/13, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-16 - -2) + 7 + -4). Suppose -3*s + 4*s - i = 0. Is 17\/2 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.159 times 7.6\nAnswer: 1.2084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -711 - -1205. Suppose 3*b = -j + 155, 0 = 4*b + j - 205 - 2. Calculate the highest common divisor of l and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x - 37*x - 1833 = -6*y, -4*x - 2*y + 1458 = 0. Solve 355*w = x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 624*x**2 - 171*x**2 - 61*x + 350*x**2 + 61*x as w*x + q + n*x**2 and give n.\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**4\/7 + 2189744*s**3\/7 - 67887830*s**2\/7 + 75163654*s = 0. Calculate s.\nAnswer: -273749, 0, 31\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -734596211 divided by 556091\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321 - -320. Let g(r) = -r**2 + r + 1. Let o = 970 + -971. Let y(c) = 2*c**2 - 3*c. Give o*g(h) + s*y(h).\nAnswer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/((p**(2\/21)\/p)\/p*p)*p*p)\/p*p**(6\/13)\/p*(p*p\/(p**(1\/23)*p))**(-12))**(-44) assuming p is positive.\nAnswer: p**(1964864\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 13*t**2 + 18. Let y = 0 - -2. Suppose y*d - 54 = -14. Calculate the smallest common multiple of j(-13) and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 65246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(3)*-3)\/sqrt(10) + -5 + (0 + sqrt(3))*2.\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -18050*t - 5559390. Determine h(-308).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1 (c) -10 (d) -1\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*l - k, 2*k + k = -3*l + 39. Suppose -2*q - 3 = -l. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 119.8 and 2.\nAnswer: 121.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {n: 2, j: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -20206 in ascending order.\nAnswer: -20206, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r + 12*r - 6*r**3 - 2*r**3 + 2*r**3 - r**3 + (-2*r + 0*r + r)*(-5*r**2 + 0*r**2 + 4*r**2) + 0*r**3 + 0*r**3 - 2*r**3 + r**3 + r**3 - r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39904 by -1.\nAnswer: -39904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390.135 micrometers in kilometers?\nAnswer: 0.000002390135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 834.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 41241242?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7. Let b = t - 1.013. Round b to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -55 + -3 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -447, -1513, -3587, -7005, -12103?\nAnswer: -19217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 168, 544, 1170, 2046, 3172?\n\"Answer: 125*r**2 + r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -14*b + 8. Let v(c) = -5*c + 3. Let d(m) = -5*m + 3. Let x(j) = -5*d(j) + 4*v(j). Calculate 3*w(y) + 8*x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -16 + -13 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*x + a, -4*x - 2*a = -71 + 63 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.1772 weeks in days?\nAnswer: 736.2404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h - 13020 = 50*h. Sort 2, h, 1\/2, -0.2.\nAnswer: -0.2, 1\/2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.6 - -11.68. Let x = 0.08 - y. Suppose 3*m - 13*m + 50 = 0. Sort x, m, 8 in descending order.\nAnswer: 8, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 35. Let x be d(10). Suppose 2*o + x*t - 48 = 0, 5*t + 110 = 3*o + 3*t. What is the remainder when o is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 182*k = -45*k + 423108. Is k a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(15\/3) + 176. Suppose -f - 77 = -6*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 34809*l**2 - 46*l + 145. Is d(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 1. Let a(k) = -k**2 + 5. Let v(j) = -a(j) - 5*q(j). Suppose 6*x - 8 = 2*x. Let o(i) = -x + 2 + 2*i**2. Give o(v(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301 + -322410?\nAnswer: -322105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.747 rounded to one dp?\nAnswer: -58.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -6 (c) 21.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543173.1 rounded to the nearest one hundred?\nAnswer: 1543200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 9*n + 3. Let b be l(9). Find the second derivative of -9*c**2 - 44*c + 8*c**2 + c**2 - 14*c**b wrt c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b - 4*b - 2 + 0*b - 4 + b**2. Let t be d(5). What is the nearest to t in 4\/3, -6\/11, -1\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v + 51. Calculate the least common multiple of l(-5) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98880, -98923, -98966?\nAnswer: -99009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let d(w) = 3*w - 2. Calculate -b(h) - d(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.05 (c) -5 (d) -4\/23 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c - 3172 = 35*c - 66*c + 1628 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 129*d - 6. Give h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99625753 and 60867?\nAnswer: 6763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77028 and 47628?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 565*v + 6097. Give j(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13250 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-265)\/15 + (2\/2)\/(21\/14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8767 (base 9) to base 8.\nAnswer: 14474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 59 - 30*v - 29 + 136 - 62 + 97.\nAnswer: 2*v**3 - 30*v + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 42*l**2 - 2*l - 30. Suppose -2*y - 2*s = -y - 46, 5*s = y - 39. Calculate the remainder when y is divided by o(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-3 - sqrt(144) - sqrt(144))\/(sqrt(32)\/(sqrt(16)\/sqrt(4))) + -1.\nAnswer: -15*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j - 6 - 5*j - 3*j. Let b be v(6). Let f be 55\/3 - 1\/3. What is the highest common divisor of f and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12176*g - 550597 + 136613 = 0 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g + 5. Let a(o) = 5*o - 2. Let u(j) = 7*a(j) + 3*p(j). What is the first derivative of u(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71039 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 36*w + 66. Let d be s(5). Let z(x) = x**2 + 21*x - 9. Let l be z(-17). Let b = d + l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 10*p**2 + 3*p - 19. Let d be f(10). Suppose 4*c + d = 3. Put 5, c, 3, 1 in descending order.\nAnswer: 5, 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 74.6 (b) -1 (c) -1.7 (d) 0.3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -15.9977277.\nAnswer: 4.79931831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4444 is divided by 590.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:00 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 9*f - 16*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5021*q**5 - q + 1939?\nAnswer: -100420*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 51 - 47)*(6*s - 3*s - s).\nAnswer: -346*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*n + 7 + 3, -7*s + 16 = 190*n - 195*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 1\/5, 1, -1\/8, 2\/5, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 2*y**2 - 4 + 376*y**3 - 375*y**3 - 13 + (y + 4*y - 4*y)*(3*y - 2*y**2 - 3*y) - 3*y**3 - 2*y**3 + 4*y**3 as t + u*y**3 + f*y + p*y**2 and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 124403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 12086 + 15*p - 12086.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.26 - -0.21. Let o = -0.05 - s. Which is the biggest value? (a) 0.1 (b) o (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a day in hours?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 11*z - 23*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.0141411 - 0.0141611. Let h = x + -19. Round h to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209989?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64808 less than -0.1?\nAnswer: -64808.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1101111101111101001?\nAnswer: 1101111101111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10)*(-4)\/24*8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-2)\/(-14))\/((-6)\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3220, -6462, -9704, -12946, -16188, -19430?\nAnswer: -22672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Suppose -l*w - 4*z + 115 = -162, -5*w + 274 = 3*z. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o. Suppose -y + 2*j = 0, -5*y + o*j = j - 33. What is the least common multiple of y and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42375 and 35595?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 26 = -5*s. Sort s, 0.4, 0, 49 in decreasing order.\nAnswer: 49, s, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*t**4 + 21693*t**3 - 6526869*t**2 - 5457753*t + 1090827 = 0. What is t?\nAnswer: -1, 1\/6, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.84 - -1.16. Let z = n + -2.1. Let m = -0.154 - -0.044. Is z >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(392)\/(sqrt(28)\/sqrt(4)))\/((sqrt(144)\/sqrt(6))\/sqrt(3)) + 5))**2.\nAnswer: 360*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31588019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442 and 568591673.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, f: 4}. What is prob of picking 1 f and 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 5. Let h be ((-35)\/15)\/(4\/(-6)). Let u = h + -4. Are i and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -219*x**2 - 8. Let k(t) = 73*t**2 + 2. Let b(f) = 7*k(f) + 2*y(f). Let q(z) be the second derivative of z**3\/6 - 26*z. What is b(q(a))?\nAnswer: 73*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + j + 156 = 0. Let a be -1 - ((-10)\/30)\/((-2)\/j). Is 7\/3 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = 24. Let h = m - -14. Let l = -12 - -32. Solve -h*p - l = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -23699?\nAnswer: -1\/23699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 243 - 243 + p - p - 2*p**2. Let u(r) = -181*r**2. Calculate u(q(k)).\nAnswer: -724*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 20.22?\nAnswer: -283.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*s + 229*s + 4690 = 0. What is the highest common factor of 21 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) 4\/73 (b) 1 (c) -1\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) 0.079 (d) 7\/3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/40 - 4*c**3\/3 - c**2. Let w(y) be the first derivative of t(y). Let l = 65 - 66. Determine w(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41388319 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: Suppose 3*h = -4*t - 0*h + 445, 0 = 5*t - h - 561. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/10 + 9*i\/2 + 238\/5 = 0. Calculate i.\nAnswer: -28, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 5895 + (-6 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2706990.\nAnswer: 2, 3, 5, 11, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = 0, -3*c - 2*c - 5*l = -5. Let g(t) = -t**3 + 9*t**2 + t - 11. Let u be g(9). Let o = u - -2. Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -51*t**2 + 200*t - 28. Let m(o) = -13*o**2 + 50*o - 7. Let g(s) = 6*d(s) - 23*m(s). Factor g(u).\nAnswer: -(u - 7)*(7*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -582000 rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17686, -34127, -50568, -67009?\nAnswer: -83450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3267*n - 3272*n - 3206*n + 16301*n - 3282*n - 3272*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69291 + -169291. Round z to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26813 by 20019.\nAnswer: 26813\/20019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.362453ng to grams.\nAnswer: 0.000000000362453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16683 * 0.01.\nAnswer: -166.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - o + 40. Let u(t) = t + 2. Let l be u(0). What is the third derivative of -m**l + 2*m**2 - 14*m**5 + 7*m**2 + 0*m**o wrt m?\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, t: 7, x: 1}. Give prob of picking 3 t and 1 x.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 + 2462080*j + 2462076 = 0 for j.\nAnswer: -615519, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.3 (b) 0.2 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0994459 rounded to three dps?\nAnswer: -7.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 26. Let w(c) = 16*c**3 - 9*c**2 - 9*c. Let p(g) = 4*g**3 - 2*g**2 - 2*g. Determine f*p(v) + 2*w(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 9*s - 4. Let a = -16 - -8. Let b be t(a). What is the tens digit of -98*(b\/8 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -30380?\nAnswer: -30380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.09, -3 in increasing order.\nAnswer: -8, -3, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4794*x + 556096. Determine f(116).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3149939011.\nAnswer: 3527, 893093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2755665*o + 2755665*o - 475*o**3.\nAnswer: -475*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 1 - 1 + (2 + 2 - 6)*(3*r - 3*r + 2*r))*(-23 + 8 + 21) to u*r + t and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -123530 divided by -22?\nAnswer: 5615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25544.2 + 25544. Which is the closest to 0.1? (a) 96 (b) 0.3 (c) -2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124.0019 + 124. What is f rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, l: 1, s: 2, z: 1, a: 1}. Give prob of sequence bz.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 15.35\nAnswer: 1.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*k = 16143 + 11008, k = x - 13571. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 809618*f*o**4 - 5*f*o**2 + 17*f*o - 3*f - 336*o + 5 wrt o?\nAnswer: 9715416*f*o**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13355 times -11.2\nAnswer: -149576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:41 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10458 is divided by 873?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1892 and 8157358.\nAnswer: 16314716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 12*v - 3. Let y(z) = -z**3 - 21*z**2 - 41*z - 60. Let g be y(-19). Let x(j) = -5*j + 1. Let k(q) = g*s(q) - 7*x(q). What is k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/4 - 843*x**3\/2 - 712333*x**2\/4 - 354903*x - 177241 = 0.\nAnswer: -842, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:19 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54173, 108347, 162507, 216653?\n\"Answer: -7*p**2 + 54195*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11101010111110?\nAnswer: 11101011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/9 (b) -3 (c) -1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Suppose -4*l + 2*l - 2 = -r*x, 3*l = 5*x. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(1\/8))\/(s**(-4)\/s))**(-27)*(s**(4\/5)*s*s**(-2\/11))**(6\/25) assuming s is positive.\nAnswer: s**(-2334603\/11000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 37*c.\nAnswer: -c*(c - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058591776 rounded to 4 decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 880633667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -118*x + 673. Calculate the smallest common multiple of q(3) and 110.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 times -945.07\nAnswer: -34022.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Suppose t*n - 5*s - 29 = 0, 5*n - 4*s - 46 = -s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/13 + 6274*q**3 - 19057554*q**2\/13 + 2913110*q - 18894436\/13 = 0.\nAnswer: 1, 233, 40546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 26*d**2 + 25*d - 56. Determine w(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8\/5))\/(z**3*z*z)*z*z\/(z\/(z\/z**(-3\/5))*z)*z*z*z*z**8 assuming z is positive.\nAnswer: z**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f**7)\/(f*(((f**(-2\/9)*f)\/f*f)\/f*f)\/f)**(-47) assuming f is positive.\nAnswer: f**(428\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/5832 and 77\/771282?\nAnswer: 3085128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 419 + -416. Suppose -n*x = 3*x - 396. What is the greatest common factor of 77 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3529\/11 + -321. What is the third smallest value in b, -0.5, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - ((-11 - -7) + 24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 346 - 486. Solve -q*o + 26*o = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15510000 to the nearest 100000.\nAnswer: 15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 10*x + 4 = 0. Let t be (-10)\/15*(-6)\/x. What is the units digit of (t + 6)\/((-1)\/(-17))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m - 2*c, 0*m - 3*c = 4*m - 11. Suppose 0 = -m*l + l + 5. Solve -k = -p - l, 0*p - p - 2*k = -10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/4 - 287*g\/2 - 575\/4 = 0.\nAnswer: -1, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/3 - 25222*n**2\/3 + 25220*n\/3 = 0.\nAnswer: 0, 1, 12610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 807\/(-4)*40\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 10842.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 + 52 = 0. Suppose -23*u + 12*u - 1485 = 0. Let d = -94 - u. What is the remainder when d is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/20)*a*a**(1\/4)*a*a**(-11)*a**11)**16 assuming a is positive.\nAnswer: a**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -151 + 159 + (7 + -2 - 19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*n, -3*n - 28 = 5*m - m. Let s(v) = v**2 + 5*v + 1. Let d be s(m). Sort 4, 3, d in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(26)\/(-1*sqrt(128))*-6 + sqrt(416)\/((-1*sqrt(16))\/sqrt(2)))**2.\nAnswer: 293\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154a1 (base 12) in base 11?\nAnswer: 2065a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 71347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.03, 6, -1\/161 in descending order.\nAnswer: 6, -1\/161, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2\/9, 0.2, 29, -6384 in increasing order.\nAnswer: -6384, -2\/9, 0.2, 2\/9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -42. Calculate the remainder when 48 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-450)\/(-27)*3 - 8. What is the nearest to 1 in 4, q, -42?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -553\nAnswer: 276.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*u = -523 + 2458 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 22753?\nAnswer: 841861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -192 (b) -0.2 (c) 6\/13 (d) 0.4 (e) -0.4 (f) 6\/7 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v**3 + 9*v**2 + 1\/20*v**6 - 3\/40*v**7 + 1\/16*v**4 + 0 + 11\/80*v**5 + 0*v. Let c(j) = 0. What is j?\nAnswer: -1\/3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 j when three letters picked without replacement from {j: 1, e: 1, t: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4 - 20*w**3\/3 - 2*w**2 + 20*w + 27. Suppose x(u) = 0. Calculate u.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + -4*sqrt(120)*2)\/(sqrt(162)*-2))\/((sqrt(972) - (sqrt(972)*-1 - sqrt(972))*-3) + -1*sqrt(972)*-3).\nAnswer: -7*sqrt(5)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(425)*2.\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7196388 and 8?\nAnswer: 14392776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -476516 (base 8) in base 6?\nAnswer: -3255154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 5*b**2 - 6*b + 14. Let g be u(-6). Suppose a - 225 = -4*i, 0 = -i - 0*i - 4*a + 60. Let v = g - i. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by 16.\nAnswer: -117\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60.1*-13.\nAnswer: 781.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43368\/55 + -4058\/5. Let q = 23 + z. Which is the fourth biggest value? (a) q (b) 1 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oobo when four letters picked without replacement from bbooooo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9894 + -1?\nAnswer: -a9895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-2)\/(-4))*-2. Let k = -7 + p. Is (-205)\/k + (-2)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 955e39e?\nAnswer: 955e39e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/45 and 89\/5472?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 41*a**8\/336 + a**4\/24 + 5*a**3\/6 - 5*a**2 + 7*a. What is the second derivative of r(p) wrt p?\nAnswer: 820*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6827 (base 14) in base 9?\nAnswer: -26704","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d - 68 = n, 65 = 3*d - 4*n. Solve 2*r = -4*l, -3*r + d - 7 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114)\/sqrt(6) + sqrt(19)) + -3*(sqrt(19) - -3*sqrt(19)))**2 - -3*((sqrt(133)*-2)\/sqrt(7)*-2)**2.\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 - -0.01. Let r = -1.92 - 8.08. Which is the closest to 3? (a) 0.2 (b) r (c) g (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 469.7 + -470. Sort 3, 2\/5, v in decreasing order.\nAnswer: 3, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**2 + 2*f - 1. Let a(b) = -7*b**2 + 3*b - 2. Let z(o) = -5*a(o) + 6*s(o). Let g = -18 + 11. Let n = g + 2. Determine z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 181, 357, 533, 709, 885, 1061?\n\"Answer: 176*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -68216027*v**2. Let l(o) = o. What is l(d(w))?\nAnswer: -68216027*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c7c (base 13) in base 4?\nAnswer: 1003220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 454 + -150. Is l a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1236882*p**4 + 20880*p**2 + 4 wrt p.\nAnswer: 29685168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -0.0110448.\nAnswer: 0.00055224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a day in hours?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 2, q: 14}. What is prob of picking 1 m and 1 q?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven fifths of a century in months?\nAnswer: 2640","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -40.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4954.61491 + -4755.6135. Let o = b - 199. Round o to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441100 divided by 4?\nAnswer: 110275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*k = -27, 3*k - 1615 = -10117*y + 9885*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r - 118*r - 8000 = 29*r for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/49820 and 43\/1311488.\nAnswer: 347544320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 0 - 2*q**2 + q**3 + 6 + q**2 as j*q**3 + a*q**2 + v*q + x and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (52\/(-8) - -6)*-2. Let y(a) = 271*a - 7. Is 33 a factor of y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71600\/93 or -770?\nAnswer: -770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 827, 1225?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.11 (c) -1\/4 (d) 965 (e) 0.1 (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 408*z + 4797.\nAnswer: 3*(z + 13)*(z + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 10.9.\nAnswer: 3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48933, -97082, -145247, -193434, -241649, -289898, -338187, -386522?\nAnswer: -434909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 27, 52, 85, 126, 175, 232?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1010114925 to 3 dps.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752 - -184.\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/13))\/f*(f*f**40*f)\/f assuming f is positive.\nAnswer: f**(529\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 1 + 9. Calculate the remainder when o is divided by 0 + 4 + 2 - (1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-13) - (-936)\/3042\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 8\/4) + (13\/(-1) - (-72590)\/5612).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from ftq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 + -1. Let n = 0.3 + g. Which is the closest to n? (a) 3 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*g - 5. Let f(q) = 97*q + 20. Let x(y) = 195*y + 39. Let l(a) = 7*f(a) - 3*x(a). Is l(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -9, -6.2, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -14*o + 6*o. Let f be (12\/39)\/o + (-8104)\/(-52). Suppose -f = -2*k + 34. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 1\/4 (b) 1\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 10 - 10 - 3705*y + 30.\nAnswer: -3705*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 74*w**2 - 7*w - 2. Give p(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305*(874\/4370 + 1 + -1).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j*j**(1\/4))\/j)*j**(-2\/11))**(-3\/11)\/(j*j**1\/j*j*j**5*(j\/(j\/(j\/(j**(-4)\/j))))\/((j\/(j*((j*j*(j*j**(-4)*j)\/j)\/j)\/j))\/j*j)) assuming j is positive.\nAnswer: j**(-4783\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 304.622 - -0.278. Let g = h - 321. Let k = g - -19. Round k to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 3*x**2 + 7 - 5*x + x - 6*x. Let n be t(-8). Solve 5*d = 2*c - n, 1 = -2*d - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -249. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*v + 40, -5*j + v + 16 + 12 = 0. What is the smallest common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2036226, -2036225, -2036224, -2036223?\nAnswer: -2036222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 5*q - 10. Let r(c) = -3*c**2 + 3*c + 5. Let p(j) = -5*r(j) - 2*y(j). Let v = 31 + -26. Let z(o) = 5*o**2 - 4*o - 4. Give v*z(i) - 4*p(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/28)\/((-16)\/(-64)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from basuvbv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 + 117 + -109 + -69\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 145, 0.19, 459, 1 in decreasing order.\nAnswer: 459, 145, 1, 0.19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -48. Let y be t - ((6 - 2) + -3). Let p be -3*1\/3*-152. Calculate the greatest common divisor of p and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7012.9 + 7013. Let x = -78 + 469\/6. Which is the nearest to s? (a) x (b) 9\/7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 2643.\nAnswer: 29073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 286*m**2 - 536*m + 11261. Give i(-288).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -787 divided by 787\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12959, -8746, -1721, 8116, 20765, 36226, 54499?\nAnswer: 75584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = -21. Let r = 12 + i. Is ((-76)\/(-6))\/(r\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141209.3 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:33 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58061433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/32 and (348\/(-54))\/(132\/(-9) + 4).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 3*p + 5, 13 = s + 5*p. Suppose 0*c + 2*c - 82 = 5*u, 2*c - u = 66. Calculate the remainder when c is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -9. Suppose -h*j = -9*j - 24. Let r = 50 + -54. Is j at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 + -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) -1\/6 (b) -1 (c) 30 (d) 0.2 (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513336.\nAnswer: 2, 11, 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 16 = -37 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 5*q - 786. Let v(i) = 6*i. Calculate s(v(a)).\nAnswer: 72*a**2 - 30*a - 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 1. Let l be 1 + -3 + (-2)\/(-2). Let v be f(l). Suppose 1 - 7 = -a. Solve -2*c - a = 0, -s + 2 = v*c + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 31 = a. Suppose 3*s - p - 56 = 0, -105*s + 104*s + 4*p - 7 = 0. Calculate the lowest common multiple of a and s.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*1\/(-7) + (-6862)\/(-511). Solve -t*s + 26*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3169.265 + -219.2?\nAnswer: -3388.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*y - 5*y - 169, -n - 41 = -2*y. Let u be 1\/(-1)*(0 + n). Suppose 0*f - u = -5*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1))\/i**7)\/(i**(-2\/7)*i**(-5)))**(6\/7) assuming i is positive.\nAnswer: i**(-72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*q - 3, -4*q - 5 = -5*a - 0. Suppose a = k + 2*l, -4 + 10 = 2*k + 2*l. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)\/(0 - 2). Let o(h) = 43*h**2 - 532*h + 197. Let l be o(12). Solve -j = -b*j - l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgykv. What is prob of picking 1 v and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5*u + 13, -4*u + 9*u + 34 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1663, 2916, 4157, 5380, 6579, 7748, 8881?\nAnswer: 9972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/504*-6*(-6)\/(-1)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2791 - 13952\/5. What is the second biggest value in -5, 494\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -128, -172, -234, -314?\n\"Answer: -9*j**2 + j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g + 48 = 0. Let f(m) = -g*m**2 + 0*m + 6*m + 4 + 17*m**2. Let u be f(-7). Solve 0 = -3*r - i - u, 4*i = 3*r + r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 280 = 253 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 4*s - 6. Let m be y(6). Let t(r) = m*r - 11 - 6*r + 0*r + 3*r. Is 4 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + -58 + 46 - -25?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - -8. Calculate the highest common factor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 9*t + 24 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j - 1. Suppose 0 = -2*c - 3*n - 8, c = -3*c + 2*n + 16. Let l be (-1)\/(2\/8) + c - -3. Let o(m) = m**2 + 2*m + 2. Calculate l*o(a) + 2*k(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.8 + -9. Sort -2\/7, y, 5, 0.06.\nAnswer: -2\/7, y, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 3, y: 3}. Give prob of sequence ojyy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6736, 6738, 6740, 6742, 6744?\nAnswer: 6746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (2 + (3 - 6)). Let c be -2*(r + 2\/(-20)). Is c < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + w + 33 = 0, 4*r + w - 30 = -0*r. Let p(n) = -n**2 + 12*n + 25. What is the remainder when p(12) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10)\/((-2121)\/205030).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536910 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5.7 (b) 14 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10777 - 10596. What is the remainder when 674 is divided by a?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtdtttgddgdtlgt. What is prob of sequence ltg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 187520 greater than or equal to 187520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.8 - -16. Let x = -0.2 - -0.25. Let z = 0.08 - x. What is the biggest value in o, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - f - f)*(3*f - f + 0*f) + 2 - 2*f**2 - 2 + 2*f**2 + 2*f**2 - 6*f**2 + 28*f**2 + 31*f**2 - 28*f**2 as n*f**2 + u + o*f and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99868.25 decades in millennia?\nAnswer: 998.6825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 176*b + 4149. Determine l(47).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2129 - 2251.3. Let d = f + 122. Which is the nearest to 6? (a) -3 (b) -3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/2 + 7\/14. Suppose 4*u - a*u = -175. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.02463 + 0.02463. What is the fifth biggest value in v, -26, 0.2, 3\/4, -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2957228m to centimeters.\nAnswer: 29.57228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 5*a + 6. Let k be i(4). Let m(j) = -3 + j**2 - 7 + 9 + 2*j**2. Is 9 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.034319 + 0.034. Round q to 5 dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 1:09 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 7*t**2 - 5*t - 7. Let x be i(6). Let j be ((-3)\/9)\/(x\/(-6)). Let o(w) = 3. Let u(v) = -v - 13. What is j*u(n) - 9*o(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i**2 + 5*i**2 - 18*i**2 - 3*i + i**2 + 3*i + (-i + i - 2*i)*(-4 - i + 4) - 3*i**2 + 4*i**2 + 0*i**2)*(5 - 4 - 3)*(-4*i**2 - 4*i**2 + 5*i**2 + i).\nAnswer: -132*i**4 + 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 10. Give c(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 157.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823432 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109564 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -27) + -1 + 3 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {t: 2, c: 2, y: 1, k: 4, h: 1, v: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5923.9848143 - -5.4.\nAnswer: -5918.5848143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 4:51 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by 2.\nAnswer: -131\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 1103*q**3\/6 + 87*q - 2. Let r(z) = -2*z**2. Give l(r(a)).\nAnswer: -2206*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78500499.\nAnswer: 3, 7, 11, 43, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584))*5 + ((sqrt(110) - sqrt(110)*2)\/sqrt(10))**2 + 1*(1 + sqrt(11)).\nAnswer: 12 + 61*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 533, 1051, 1569, 2087?\n\"Answer: 518*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 17.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - 4) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 405401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (-370)\/(-264) - (-12)\/(-66) and 75\/74.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*i - 138*i - 580 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 533 and -2563887620.\nAnswer: -2563887087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345621443?\nAnswer: 67, 89, 149, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -646, 0.1, -2, -3, -147?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9628045, 19256088, 28884131, 38512174?\n\"Answer: 9628043*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((140\/15)\/(-7))\/((-52)\/468).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(3)) + 2 - (-5*sqrt(12)*5)\/sqrt(4).\nAnswer: -1 + 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -13. Suppose h = -4*h + n. Put 0.2, -4, h in descending order.\nAnswer: h, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 + 2 - 0 - (-370 + 359)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30997415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 + 144.00984. Let x = 26.99 - 27. Let m = n + x. What is m rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f - 23. List the prime factors of b(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213999258 to the power of 1\/2, to the nearest integer?\nAnswer: 14629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 116*x + 686. Give o(-7).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r**2 + 11*r - 109. Is s(7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02108955 rounded to 4 dps?\nAnswer: -0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 166679 in 6, 2\/3, -1, 1, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1971, -1970, -1969, -1968?\nAnswer: -1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 6*w - 3*w. Suppose 3*o = -4*i + 132, 0 + 88 = 3*i + 5*o. What is the lowest common multiple of i and (-1)\/((3\/75)\/((-12)\/w))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 0 - (19 + (-36 - -14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -429 - -439. Solve -2*a + o = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -56*m**2. Let t(g) = 176*g - 1 - 182*g - 3. Let u(h) = 4*h + 3. Let n(q) = 3*t(q) + 4*u(q). Give n(l(s)).\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 457*t + 230*t + 687 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(693\/(-168))\/33?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j + 34 = -47*j. Differentiate -90 + 73*k**2 - 18 - 60 + 45 + 21*k**j wrt k.\nAnswer: 188*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 10:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 18 = 19*u - 3*m, 9*u = -m + 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.89 - 0.46. Let k = y - 0.03. Let x = 6 - 6.3. Which is the nearest to 0.1? (a) x (b) k (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*q - 42 = -354 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 215?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2. Let m(q) = -11*q**2 + 9*q**2 - 27*q**2. Give n(m(s)).\nAnswer: 1682*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29\/2 of a millisecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10741394 to the nearest ten thousand.\nAnswer: 10740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 70*p**2 - 2215*p + 10040. Let r(x) = -5*x**2 + 158*x - 717. Let k(v) = 4*h(v) + 55*r(v). Factor k(t).\nAnswer: 5*(t - 29)*(t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041087396 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (3 + -1 - -3) + (12 - 10 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13463?\nAnswer: 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201414029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.55237 + 18.1194148. Let f = o + -6.56706. Let s = -5 - f. What is s rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2199, -2210, -2235, -2280, -2351, -2454?\n\"Answer: -a**3 - a**2 - a - 2196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-10)*396\/(-2079)*6\/(-58)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276369 is divided by 2032?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*k + 24 = k, -20 = -4*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:17 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -143*d - 1914. What is l(-15)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:28 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22a871 (base 13) in base 14?\nAnswer: -175d86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-15)*1*-5. Let m(k) = -k**3 - 2*k**2 + 2*k - 2. Give m(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 3, p: 5}. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 33 - 8 = 0. Suppose -g + u = -5*g + 29, -32 = -v*g + 3*u. Let i(a) = -a**2 + 6*a - 7. Let s be i(g). Is s bigger than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.52 - 0.48. Let q = -39.04 + z. Let o = -42 - q. Which is the nearest to o? (a) -3 (b) 5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -194320*a**2 - 125*a**4 - 6*a + 44 + 194324*a**2 + 123*a**4 + (-2 + 3 - 2)*(-2*a + 2*a + 3*a**4).\nAnswer: -5*a**4 + 4*a**2 - 6*a + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n = 4*z + 41*n - 141, -5*z + 192 = 4*n. Let q(x) = -x + 3. Let i be q(-6). Calculate the highest common divisor of i and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**3 - 688*p**2 + 692*p = 0. What is p?\nAnswer: -173, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 64*b + 19. Let c(p) = -136*p - 32. Give -3*c(t) - 5*v(t).\nAnswer: 88*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:28 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28657693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 (base 5) in base 2?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let m(v) = 12654935*v**2. Give m(p(d)).\nAnswer: 50619740*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18781 - -18830. Solve 12*u - a = -13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339287689?\nAnswer: 13, 47, 421, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 7538753.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuuyjyjyu. Give prob of picking 3 y and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000068995363 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -106, -115, -124, -133, -142?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z - z)*(1588084 - 1706*z - 1588084).\nAnswer: 3412*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 14}. Give prob of sequence jj.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4 - 29 = 0. Suppose -5*y = i - 15. Suppose k - 801 = -0*p - 5*p, y*p - 306 = -4*k. List the prime factors of p.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -106.81. Let k be (2 + 3\/(-2))*6. What is the third smallest value in 4, k, l, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 995140 - 497575 - 497569.\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 433.515 and 2.1.\nAnswer: 910.3815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40297, -80594, -120891?\n\"Answer: -40297*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51728.09 millennia in decades?\nAnswer: 5172809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27295.01 + -27295. Let u be 2\/(-11) - 204\/935. Sort j, -0.3, 1, u in decreasing order.\nAnswer: 1, j, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25198?\nAnswer: 2, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 88*m**2 + 8*m + 4. Let u(j) = -2*j**3 - 177*j**2 + 14*j + 9. Determine 9*o(w) - 4*u(w).\nAnswer: -w**3 - 84*w**2 + 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 2, -353, 1, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 26*w - 87. Let k(b) = 17*b + 22. Let y be k(0). Let s be g(y). What is the greatest common divisor of s and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = 5*p - 2, -44 = 3*k + 5*p. Let r = 40 + k. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 + 4*k - 6. Let t(o) = -9*o**2 + 7*o - 12. Calculate 5*l(h) - 3*t(h).\nAnswer: 2*h**2 - h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h. Let b(u) = 1103*u. Calculate b(m(q)).\nAnswer: 11030*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-6 - -8))\/(10\/(-8)). Solve -3 = -x - r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-24 + 19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i**2 + 652*i + 1. Let u(j) = 4*j. Give f(u(y)).\nAnswer: -192*y**2 + 2608*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Let t(j) = -j - z*j + j. Let u(x) = 2*x + 2*x - 3*x. Determine t(u(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72125235 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {o: 1, r: 3, i: 1, q: 1, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkddppkppd. What is prob of picking 1 p and 1 k?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 11*f**2 - 3. Let x be b(11). Is x != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0 + 0)*(-58*z + 58*z + 19*z**2).\nAnswer: 38*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101 (base 2) in base 8?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22\/5 - -164\/35. Which is bigger: x or -2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 j when three letters picked without replacement from ffjdjdjbfjzdzzbjdbb.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**5\/60 - w**4\/6 + 2*w**3\/3 + 3*w**2\/2 - 6. Let h(q) be the second derivative of r(q). Factor h(f).\nAnswer: (f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + (190 - (387 - 199))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1437, 5, 4, -4, 0 in decreasing order.\nAnswer: 5, 4, 0, -4, -1437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 2*x - 5, 0 = -4*c - 4*x + 20. Suppose -88 = -4*u - c*z, -4*u = u - z - 129. Calculate the remainder when 198 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, n: 2, z: 7}. Give prob of sequence zzzz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 437\/(-92) - (-2)\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346214853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (56\/(-12))\/(2\/9). Let i(o) = o**3 - 17*o**2 + 57*o + 33. Let w be i(12). Put -5, w, l, 4 in descending order.\nAnswer: 4, w, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 + 312*o**2 + 152*o + 2335. Give f(63).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**3 - 3*g**3 - g - g**2 + 9*g**3. Let m(u) = 3*u**3 + 5*u**2 + 5*u. Calculate -m(n) - 5*w(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from ffffkkk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 111\/5. Which is the nearest to g? (a) 1\/7 (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 - 54*g**3\/7 - 16*g**2\/7 = 0.\nAnswer: -2\/7, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 4) in base 16?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328399940 by 82099985.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, -3, 2, 1 in ascending order.\nAnswer: -3, 1, 2, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26175 - 26571. Does -1986\/5 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 11 + -11 + (-1 - -14) + -18\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 4 (c) -0.7 (d) -5 (e) 190\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8 - 8 + 4*a**4 - 6 + 6 wrt a?\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j + 15. Let k be j\/6*(-8)\/30. Let y be (-9*3\/(-45))\/(1\/(-5)). Which is the nearest to k? (a) 4 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1100)*-3 + 1))**2 - (-1 + (2*sqrt(132))\/sqrt(12) + (sqrt(396) + sqrt(44) + sqrt(44))\/sqrt(4))**2)*3.\nAnswer: -6438*sqrt(11) + 1067688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 30 = 5*o, 2*t + 2*o = 6*o - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -77997466 and -53.\nAnswer: -77997519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*k + 78*k - 24 = 0. Suppose -31 = 3*t - 4*n, k*n = t + n + 14. Let a = -5 + 8. What is the nearest to -0.1 in 0, a, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22661938?\nAnswer: 2, 13, 871613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.08 - -2.249. What is h rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0)\/((p**(-1\/6)\/p)\/p))\/(p**6\/(p\/(p\/(p**(3\/8)\/p)))))**(-8\/5) assuming p is positive.\nAnswer: p**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -19. Let b(l) = l**2 - 8*l + 9. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130059.\nAnswer: 3, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 (base 11) in base 8?\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49572127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 1301, 2073, 2995, 4115, 5481, 7141, 9143?\nAnswer: 11535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -532*c - 12089. What is j(-22)?\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (-2*(sqrt(539) + -1) - (sqrt(539) - -1*sqrt(539)*2 - sqrt(539)))*-2) + 1.\nAnswer: -56*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -147) + -98 + (2 - -10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1051 + 216 - 159)*(2*r**3 + 2*r**3 - 6*r**3)*(8*r - 6*r + 11*r + (0 + 3 - 5)*(2*r - 4*r + 3*r)) as a + l*r**4 + q*r + s*r**3 + m*r**2 and give l.\nAnswer: 21868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let t(u) = -7*u**2 - 34*u + 8. Let w be t(-5). Suppose 0 = 6*j - 3*j - 15. Solve -3*k - d + 3 = -x*k, j*k = -w*d + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 6*a = -199 + 223 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 - 5 = 0. Suppose -4*t - 3*r + 904 = -h*r, 4*t + 4*r - 908 = 0. What are the prime factors of t?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*q**3 - 6*q - 18?\nAnswer: -444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = k. Calculate the least common multiple of k - (-2)\/(-2 - -4) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-9))\/((-4)\/13518) - 2. Let i = a - 1212. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -18*n - 108. Let v be b(-6). Put 79, 3, v in decreasing order.\nAnswer: 79, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 20. Let n = -13 - 5. Let l = n + 17. Which is the second smallest value? (a) 0 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 254*r + 19 + 20 + 21.\nAnswer: 254*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:23 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*w + 2263 = 0, 2*w = 4*q - 0*w + 3004. Let b = q - -1269. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001525 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 562 + -515.15. Let g = -0.05 - t. Round g to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5.3, -45, -0.3, -220 in descending order.\nAnswer: 5.3, 4, -0.3, -45, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 57039752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -z - 2*z. Suppose -5*w = -z - 16. Calculate the remainder when w is divided by 2*-1 + (6 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7134172 to the nearest integer?\nAnswer: 2671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 1:38 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 19\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -81*q**3 + 12*q**2 + 12. Let h(u) = 11*u**3 - 465 + u**2 + 7*u**3 + 466 - 19*u**3. Give 12*h(d) - n(d).\nAnswer: 69*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-69))\/(((-16)\/6)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75074 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 3:53 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -80*x**2 + 170*x**2 - 84*x**2. Let w(k) = -24*k**2 + k. Give u(w(g)).\nAnswer: 3456*g**4 - 288*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*j - 0*j. Let z be -5*2\/(j\/(-11)). Let l = z + -386\/7. Calculate the common denominator of l and -4\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1794 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 463*z**4\/24 - z**2 - 240. Let g(p) = 2*p. Determine r(g(l)).\nAnswer: 926*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b*k**3 - 318*b*k**2 - b*k + 6419*k**3 + 11*k**2 + 1 wrt k?\nAnswer: 36*b + 38514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1110202?\nAnswer: -1110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29363*u - 3276 = 29441*u for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + v + 40 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1*-3)**2 + -5*-2*sqrt(1872).\nAnswer: 120*sqrt(13) + 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.5726 and -3.\nAnswer: 1.5726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -60. Let a = 173 - 112. What is the smallest common multiple of q and a?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 2868517*x + 0*x**2 - 2868550*x.\nAnswer: -x**2 - 33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*160\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by -13.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*k - 2 = 6*k, -2 = -o - 2*k. Suppose -3*m = m - 24. Calculate the smallest common multiple of (-3 + 1)\/(o\/(-6)) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 44. Suppose -3*a + 2*v = -2, -a - 14 = 2*a + 2*v. Calculate the remainder when 0 + a - (-74 - -6) is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 591462 and 788616.\nAnswer: 2365848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 10*j**2 - 3. What is l(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-22)*y**(-1\/35)*y**(-5\/4)*y\/(y**(-24\/5)\/y) assuming y is positive.\nAnswer: y**(-2027\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c + 3. Let t = 121 - 110. Suppose 5*d - t = -31. Let o(q) = 4*q + 4. Give d*o(h) + 5*k(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/(-33)*12\/(-10). Let y(j) = 2*j**3 + 0*j**3 - 3*j**2 - j**3 - 1 - 2*j. What is the units digit of y(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 - 4*s + 1506. Let x(q) = 38*q**2 - 30*q + 10544. What is -15*c(m) + 2*x(m)?\nAnswer: m**2 - 1502","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 63. Let w be l(32). Sort -29, w, -5 in decreasing order.\nAnswer: w, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -t - 38 + 70, 5*a - 64 = -3*t. What is the lowest common multiple of t and 8304?\nAnswer: 8304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/(1 + 100\/(-30)). Which is smaller: 78 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 88 - (-21 + -6 + (258 - 218))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -38685*f**3 + 12217*f**3 + 12907*f**3 + 12461*f**3 + 11*f in the form v*f + g + n*f**3 + l*f**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 - -989\/7. Let o = -2881 + 2878.967. Let k = 0.033 + o. What is the third smallest value in -1, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 63 (b) 1 (c) -0.06 (d) 2\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z**2 + 4*z - 13. Let j(v) = -7*v**2 + 2*v - 6. Let d be 18 + 0 + 0 + 0. Suppose 0*y = -3*y - d. Give y*r(c) + 13*j(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.0557 hours to milliseconds.\nAnswer: 2689400520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84993, -170285, -255863, -341721, -427853, -514253?\nAnswer: -600915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 137. Let z(h) = -3*h - 78. Let f be z(l). Solve f = -d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*f + 186 = 409*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r - 2*c + 158 = 0, r - 2*c - 22 = 0. Calculate the smallest common multiple of r and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 20. Let x = t + 16. Let b(y) = -2*y**3 + 3*y + 3. What is the remainder when x is divided by b(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 5*u + 74 - 113.\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(8\/6) - ((-64 - 2) + (-6118)\/(-84)).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201212 - -12?\nAnswer: 2202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eedp when four letters picked without replacement from pddpddedetdep?\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, 1 i, and 1 q when four letters picked without replacement from {w: 1, i: 1, v: 1, b: 1, q: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**2 + a - 805. Let d(q) = -3*q - 81. What is i(d(z))?\nAnswer: -81*z**2 - 4377*z - 59935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1001222 (base 3) to base 4\nAnswer: 30032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.802 - -48610156.\nAnswer: 48610130.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) + (2 - 3). What is the nearest to 1 in j, -1, -2.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:07 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - k + 744 = 0, -2*x + 6*x - k = 985. Suppose c - x = -m, c - 198 = m + 39. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10679, 21307, 31935, 42563?\n\"Answer: 10628*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 4*r**3 + 6*r**3 - 7*r**3 - 13*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (-4*(sqrt(50) + -3*sqrt(50)) - sqrt(50)))\/(-3*sqrt(160) - sqrt(10)).\nAnswer: -8*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -304 + 306.65. Let z = k + -2.25. Which is the fourth smallest value? (a) -2 (b) z (c) 3\/5 (d) -0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (550\/4)\/((-5)\/(-160000)). Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 47 - 1. What is the greatest common divisor of 96 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b535a (base 12) to base 14.\nAnswer: -41dcb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10966*q**2 + 4128*q**2 + 42 - 42 - 6921*q**2 to the form p + o*q + y*q**2 and give y.\nAnswer: -13759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32024903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 20*d - 15. Let p(z) = -27*z + 12. Let b(w) = -3*h(w) - 4*p(w). Let x(t) = -48*t + 4. Calculate 4*b(r) + 3*x(r).\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 5. Let f be i(-7). Let c be 2 - (f + (-335)\/5). Let n = -67 + c. Solve w = -w - n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -470 - -474. Is (-3)\/l - (3954\/(-24))\/1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 15*d - 9. Suppose -d*o - 7 + 1 = 0. Which is the closest to 0.1? (a) -0.2 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9111*f + 89110 = 3619*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7655228 litres?\nAnswer: 765.5228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-276)\/(-18) + 1\/(-3). Suppose v - d = -4*v. Find the first derivative of -4*r**2 - v + r**2 + r**2 + 5 wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 11. Let s(l) = -3 + 136*l**b - 6 - 135*l**2 + 3*l. Let z be s(-5). Solve 2*m + 3 - z = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -86. Let z = o + -34. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let j(p) = p - 2. Let s be j(4). Suppose -23 = -s*w - 3*w + 3*l, 12 = 4*w - 4*l. Let d(g) = -7 + g**2 + w. Determine d(x(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 8*y**2 - y - 5. Give w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.028 - 3.028. Which is the third biggest value? (a) 1 (b) x (c) -1\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2241)\/2988*(-8)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111111011101 (base 2) to base 5.\nAnswer: -1123240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/25 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*w**3 + 22226197*w**2 + 19050999*w + 4082355.\nAnswer: (w + 453595)*(7*w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1740.99 + -1741. What is the nearest to -4\/3 in 28, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -19*d - 183. Let x be l(-10). Let c(v) = v**3 + 3*v**2 + 10*v - 39. Is c(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1165 + 20134?\nAnswer: 21299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1. Let z(d) be the third derivative of d**4\/6 - d**3 - 13*d**2 - 2. Determine -4*v(m) + z(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 187053\/2 <= 93527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -1. Let a = 678 + -707. Sort z, a, 1 in ascending order.\nAnswer: a, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1964131853 to the nearest 1000000.\nAnswer: 1964000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 262*x - 15015. Give g(58).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267 - -266.8. Let n = 1.6 - 2. Which is the second biggest value? (a) f (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.62 - 22.35. Round h to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnxnxxnn. Give prob of picking 2 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + p + 3*p)*(2*p - 3*p + 3*p) + (1 - 1 - 2*p)*(4*p + 2*p + 4*p) to the form y + x*p + o*p**2 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 7) + 1 + -3 + -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 837 and 108138.\nAnswer: 30170502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (20\/(-72) - -1) + 6\/9 and 59\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-1463*j + 1463*j - 69*j**2).\nAnswer: 138*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 117ce6c + -4?\nAnswer: 117ce68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764198.\nAnswer: 2, 23, 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -6457207105402.\nAnswer: 6457207105401.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -272, -695, -1514, -2861, -4868, -7667, -11390?\nAnswer: -16169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 4*w + 5. Let m(l) = -2*l**2 - 5*l - 6. Let o = 56 + -52. Give o*c(g) + 3*m(g).\nAnswer: -2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2155714061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1600 and 113\/1750.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 7. Let i be w(2). Suppose -3*p = -2*s + 74, -p + i = -1. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2. Let d(l) = 1003058*l**2. Give d(x(v)).\nAnswer: 4012232*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3 - 5. Suppose -28000 = -0*v - p*v. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/53? (a) 1488 (b) 0 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f\/f**(-2\/9))\/(f**(2\/21)*f**2) assuming f is positive.\nAnswer: f**(134\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 12. Let i be 64\/(-10) + z\/15. What are the prime factors of ((-20)\/(-2))\/(i\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t - 12 = 4*a, a = 4*t - 18. Let l be (2 + 2 + a)\/((-4)\/(-8)). Suppose -4*u - 45 + 143 = -2*g, -12 = -l*g. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.2, -0.1, -2\/3.\nAnswer: -2\/3, -3\/5, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, 804, -11 in decreasing order.\nAnswer: 804, 152, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o - 6. Let h(g) = 7*g + 5. Let l(k) = 2*c(k) + 3*h(k). Let a be 19\/(-2) - 1\/2. Let z(d) = 3*d + 1. Determine a*z(t) + 4*l(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769.4928 milliseconds to microseconds.\nAnswer: 769492.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 - 199942*i**3 - 89950806649*i**2\/3 - 299821026680*i - 2248620211600\/3.\nAnswer: -(i + 5)**2*(i + 299908)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 7 + -1 - -8 - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 302929 and 2519.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s**5\/4 - 175007*s**4 + 1133734028*s**3 + 15971402035*s**2\/2 + 28416026437*s\/4 + 504429267\/2 = 0. Calculate s.\nAnswer: -6, -1, -1\/27, 12967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/95)\/((-114)\/1444).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 296 = 1057. Let f(m) = -2*m**3 + 5*m - 39. Let h be f(5). Let l = h + n. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2539464385 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/l)**(1\/3)\/(l*l*l**(-1\/7))**31 assuming l is positive.\nAnswer: l**(-1181\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 0, 0*i = -4*w + 3*i + 35. Suppose -w*b = -7 - 18. Suppose 2*c = b*l + 200, 2*c - 3*l = -l + 194. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931606.2ml in litres?\nAnswer: 931.6062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(-4 + 6 - 4)*(-2 + 2 + 3*w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -184 - 2897.65066377\nAnswer: -3081.65066377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1715, -1 in decreasing order.\nAnswer: -1, -2, -1715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/9 and 1\/(-28)*((-164)\/12 - 1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*y - 2*y + 56 = 0, -33 = -3*z - 3*y. Let n = 2861\/4920 - 147\/328. Which is the fourth biggest value? (a) 2\/11 (b) 0.4 (c) z (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-4))\/((-1)\/(-236)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 - 1 - 7*d**2 - 7330*d + 7330*d - d**3 to g*d**3 + i*d**4 + c*d**2 + y + b*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 373139453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - ((-1 - 1) + -1). Let s be (-5)\/25 - (-62)\/o. Is 6 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 + 18*l + 60. Let m be p(-5). Let a = m + -164. Solve -a = 3*z - 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -2\/9, 93, 2\/7541, 0.1, -3\/5, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -129, -293, -523, -819?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6098488 divided by 1524622.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -1) + (-17 - -17) + 3 + -84.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671\/2 + -384. What is the common denominator of (117\/(-4))\/((-33)\/2) and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4011 - 4010.99994156. Round k to 6 decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*z = 13*z + 259*z - 36738 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 - 5 = 0. Let w be m\/6*0\/(-1). Let f be w\/((2\/2)\/(-1)). What is the biggest value in f, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100830 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.054 - 139.946. Let m = 160.1 + s. Round m to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131644, -263286, -394926, -526564, -658200, -789834?\nAnswer: -921466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (32\/18)\/(55288\/1430577)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/24 + u**3\/3 + 3*u**2. What is the units digit of n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1209827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - -1) + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - (-3 + 0)\/(-6))*67 and -63\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 2:16 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/3 - 864*s + 139968.\nAnswer: 4*(s - 324)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/36 + (-16)\/(-144). Factor -9*w**3 - 12*w + q*w**4 + 0 + 18*w**2.\nAnswer: 3*w*(w - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1775\/(-30) + 3\/(-1 + 19). Let g = f + 8. Let t = -44 - g. Solve t - 5 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 257637444*u - 8297131568856642.\nAnswer: -2*(u + 64409361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 3, 107, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 less than -0.7?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91576, 91595, 91626, 91669, 91724, 91791?\n\"Answer: 6*p**2 + p + 91569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 21 = -2*v, -2*t + 9*v - 6*v = -15. What is the remainder when 148 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12172730 divided by 2434546\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*j - 47*j = -127*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 81 = -g - l, 0 = -3*l - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 5. Let r(f) = -12*f - 21. Determine 15*q(l) + 4*r(l).\nAnswer: -3*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -213951 - 0.446?\nAnswer: -213951.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -56 (b) -2\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 - 1. Let j(n) = n**3 + 15*n**2 + 4*n - 6. Let r(f) = -2*h(f) + j(f). Determine r(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -30. Suppose -5*f + 56 = -4*x, 3*x + 44 = 98*f - 94*f. Solve a*q = f*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/1950*9\/36.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*l**4 + 26*l**4 + 38*l**4 + (2 - 11*l - 2 + 0 + 0 - 2*l + (-3*l + 2*l + 0*l)*(-2 + 0 + 3))*(-l**3 + l**3 + 2*l**3).\nAnswer: -56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 421623*h**2 + 8854546*h - 9276168.\nAnswer: -(h - 421644)*(h - 1)*(h + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1036 and 444.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -2*q**7\/7 - 17*q**4\/4 + q**3\/3 + 135*q**2\/2 - 42. Find the third derivative of b(l) wrt l.\nAnswer: -240*l**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 10. Let k be g(13). What is the tens digit of -3*(-42)\/k + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 8*q + 4. Let i(p) = -2*p**2 - 6*p + 3. Let l(b) = 4*i(b) - 3*n(b). Let s(h) = -132*h**2. Give l(s(m)).\nAnswer: -87120*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1162.998 + 1162. Let p = -1 - 0. Let q = m - p. What is q rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((35\/10)\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -319347*q**5 + 957*q**3 - 3*q**2 + 10*q - 338484 wrt q?\nAnswer: -19160820*q**2 + 5742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-24)*2)\/((-3)\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101120700 rounded to the nearest one hundred thousand?\nAnswer: -101100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*z - 27759 = -2007 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 7289 + f**4 - 2*f + 3642 + 20*f**2 + 3645 - 33*f**3 to u*f + h*f**4 + z*f**3 + v + y*f**2 and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0901 times 4.8544\nAnswer: 0.43738144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452578 is divided by 939.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 30*j**2 - 315*j + 1213. Calculate r(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 182, -2, -3, -12, -4, -10 in ascending order.\nAnswer: -12, -10, -4, -3, -2, 2\/7, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3168114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 81 + 31 + 27*y - 90 - y**2 - 6*y**2. Determine p(-10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z + 11. Let d be k(7). Let n = d - -62. Suppose -x = n + 27. What is x rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -24)*(-111013)\/(140\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*m**6 + 25*m**3 - 57320*m**2 wrt m?\nAnswer: -5040*m**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3109 - 2471. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q - 26*q - 6*h - 25, -2*h = -4*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1762, -4, -9.\nAnswer: -9, -4, -1, 5, 1762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6351.422 grams to milligrams.\nAnswer: 6351422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*p - 116*p = 356*p + 22791 + 19344 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2503837.\nAnswer: 7, 89, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17582334 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + -0.42. Let a = -4.4 - 0.6. Let o = -4 - -4.4. Put o, d, a in increasing order.\nAnswer: a, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/27)\/((-1)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.506371218 to 4 dps.\nAnswer: -0.5064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1746077\/2 - -1344484003\/1540. Let x = -4\/385 + j. Calculate the common denominator of x and (-58)\/(-44) + 4\/2.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-7))\/z*(z*z*z**(3\/16))\/z*z)\/(z**7*z)**24 assuming z is positive.\nAnswer: z**(-3149\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 497*l**2\/3 - 9415*l\/3 - 19875.\nAnswer: -(l - 477)*(l - 25)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 14, 16, 18, 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.54 + -0.44. Let k = -66 - -78. Let t be ((-3)\/k + 6\/8)*-10. What is the second smallest value in l, 0.5, 2, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 345, 2, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 261862?\nAnswer: 2356758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/2)\/n**(2\/13)*(n*n**(-2\/15))\/(n**(-3\/14)\/n*n) assuming n is positive.\nAnswer: n**(-782\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 6*q - 6. Suppose -19*x + 16*x - 12 = 0. Let v be a(x). Suppose -v*m + 40*m = -24. Let t(c) = -c + 1. Determine t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1806*b - 825 = 1861*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19479 and 35931054?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*n, -2*n - 10 + 1 = -d. Solve -18 = 2*s + 4*h - 0, 15 = -d*s - 3*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, b: 1, d: 2, i: 3}. What is prob of sequence ik?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 181278845092 and 85.5.\nAnswer: 181278845177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Does 2 divide 5\/5 - c*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 60 = -2*o. Suppose o = 5*i - 4*p + 2*p, 5*i + 3*p - 30 = 0. What is the smallest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 3.6. Let o(l) = l + 1. Let k be o(-3). Sort 0, k, i in descending order.\nAnswer: i, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14d (base 14) to base 16\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 12\/(-4))\/(27\/2). What is the third smallest value in -5, 1\/7, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/9, -2997, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/5 + 37*o**4\/5 - 456*o**3\/5 + 2276*o**2\/5 - 832*o + 2304\/5 = 0. What is o?\nAnswer: 1, 2, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2044 - -1338. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.2787 and -0.12?\nAnswer: -0.633444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7988.957 and -0.055.\nAnswer: -439.392635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 + 0*c**2 + 0*c**2)*(-826 + 400*c + 826) as d*c + g*c**3 + o*c**2 + m and give g.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/10)\/((-9)\/(-30)). Is o\/14 - (-375)\/35 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-143) - 1386\/1274.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.105 and -6.5567?\nAnswer: -0.6884535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*d - 110*d - 24 = -u, 27*d - 24 = 3*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:57 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**4\/12 + 2*r**3\/3 + r**2 + 5*r. Suppose -4*z = -3*z - 3. Determine q(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -33*o + 384. Solve -4*y = 7 - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1352 times -0.17\nAnswer: 229.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + -9. Let o = m - -24. Let d be (3\/51 - 0)*-3. What is the nearest to 0.2 in -2\/5, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 10*c = -35, -441*v + 22 = -445*v + 2*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 - 82918*o - 331640 = 0. Calculate o.\nAnswer: -41455, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 87*i**2 + 5*i - 123. Is m(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f + 36 = 0. Which is smaller: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364328832?\nAnswer: 2, 3, 7, 23, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 187 (c) -91 (d) -3600\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**(3\/26)\/(((z*z*z*z**(-2\/11)\/z*z*z)\/z)\/((z*z**(1\/4))\/z)))\/((z*(((z\/(z**(-4\/5)*z))\/z*z*z*z)\/z)\/z)\/z*z**3\/z)**(-39) assuming z is positive.\nAnswer: z**(2135429\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1)*5 + sqrt(76)\/sqrt(4) + sqrt(19) + 5 + 5*sqrt(38)\/((sqrt(48)\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - g**3 + 3*g**2 + 3*g - 4*g**2. Let m be w(-6). Suppose -2*s + m + 32 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/72)\/(-9*6\/(-81)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 48*n + 15*n = 16*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 7*v**2 - 16*v + 35. Calculate s(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5016629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98976 to two decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*a, -4*a + 4*q = 5*q. Suppose 0 = -3*m + 12 - 0. Let s(f) = 4*f + f - m*f + 1. What is s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2359426, -2359447, -2359468, -2359489, -2359510, -2359531?\nAnswer: -2359552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4*((w**5*w)\/w)\/w)\/(w\/(w\/w**3))**(8\/5))**(-2\/163) assuming w is positive.\nAnswer: w**(-32\/815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 3. Let b(o) be the third derivative of -5*o**4\/24 - o**3\/2 + o**2. Is 11 a factor of b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 563514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*m + 21040 = -1132 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4067387\/102 + -39875. Calculate the common denominator of 39\/22 and v.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-32)\/(-3) + -10). What is the second smallest value in -0.2, 4, 18, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/4 - 3398*j**2 + 24608163*j\/4 - 12297285\/2 = 0 for j.\nAnswer: -15210, 1, 1617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 606.62642 - 0.3.\nAnswer: 606.32642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4*2)\/1. What is the remainder when 14 is divided by 9 - (-1 + 3) - y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.9 - -29.9. Which is the nearest to -1? (a) 0.5 (b) -1 (c) -0.1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o - 4*o)*(-o - 6*o**2 - o + 4*o**2).\nAnswer: 10*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65004 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*f - 191*f = -5*l - 65, -9*l + f = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, p: 9}. What is prob of picking 1 v and 3 p?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 1866, 4254, 7662, 12126, 17682?\nAnswer: 24366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - 10. Let a = -15 - f. Calculate the highest common divisor of a and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*t + 109*t - 72 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 780*j**2 + 7*j + 104. What are the prime factors of h(8)?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmmziebibmjbjb. Give prob of sequence jj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/8 and -34\/477.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 774*n + 6885.\nAnswer: (n + 9)*(n + 765)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 330 = w - 2*w, 5*w - 1688 = -c. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/211 and 23\/2.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435574.\nAnswer: 2, 17, 23, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) -7 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-2)\/(-10))\/(25\/(-750))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/9 + 1000*x**3\/3 + 8032*x**2\/3 + 48256*x\/9.\nAnswer: -2*x*(x - 1508)*(x + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 184, 16 in descending order.\nAnswer: 184, 16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 24. Let u be y(15). Suppose 5*q = u*q. Factor 1\/7*l**2 + 0*l**3 + 0 - 1\/7*l**4 + q*l.\nAnswer: -l**2*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11607690*z**4 - 5*z**3 - 2333875*z**2 + 4*z wrt z.\nAnswer: -278584560*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44663.16 millilitres to litres.\nAnswer: 44.66316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 35 - (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/22608 and -79\/27632?\nAnswer: 248688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541694666 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8861 + 9070. What is the lowest common multiple of c and 133?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 412, 410, 408?\n\"Answer: -2*r + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*h + 340 = 691*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 151*f**3 + 14*f**2 + 7*f - 132. Let t(s) = 75*s**3 + 8*s**2 + 4*s - 69. Give 4*g(d) - 7*t(d).\nAnswer: 79*d**3 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from urummmmrurm?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.123257969 to three decimal places.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 5*v - 2*v**3 + 120 + 3*v**3 + v**2. Does 30 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:33 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 6*d**2 - 26*d - 173. Is q(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 348 divided by 87\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 571 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((2 + (sqrt(1088) - sqrt(1088)*-3) - (sqrt(1088) + sqrt(1088)*-3 + 0 + sqrt(1088))) + -5))**2 + 2)*-4.\nAnswer: -108844 + 960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, q: 7}. What is prob of sequence qm?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*h - 0*h - 9, 3*h + 21 = -4*c. Let t(g) = -37 + 13 + 10 + 11 - 3*g. Determine t(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from wwhiiwhww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) -373 (c) 5 (d) -1 (e) -14\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140401712 divided by -451.\nAnswer: -311312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 1 - 1)*(-i**2 + i**2 + 2*i**3) + (0 - 3 + 0)*(-4 + 1 + 0)*(-2*i**4 + 3*i**4 + 3*i**4) + (3*i - 2*i**3 - 3*i)*(3*i - 175 + 175).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from cvcchcqh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + -3. Let q = k - -60.989. Let a = q - 3.989. What is the nearest to 3 in -0.01, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 5, -3*m = -2*p + 25. What is the highest common divisor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5120.\nAnswer: -1\/5120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15535 + 15484. What is the third smallest value in 2\/11, -1, 0, y, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deeddddddjdeej. What is prob of picking 3 d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 149842?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**8\/6720 - d**6\/360 + d**5\/40 - d**4\/4 - 8*d**2. Let k(n) be the second derivative of b(n). Is 36 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12456 * -4\nAnswer: 49824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*r**2)*(5 - 5 - 8*r**2).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069 times 100?\nAnswer: -106900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11983 is divided by 427.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 8. Let k be j(11). Let w = k + -48. Let n(v) = -2*v**2. Let m(h) = -2*h**2. Calculate w*n(f) + 6*m(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42\/11 (b) -2 (c) 183 (d) 0.3 (e) 11 (f) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/960 and 91\/2.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75737513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109006260*o**3 + 13159854*o + 4?\nAnswer: -654037560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-18 - (10 - 19)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 24*t + 101. Calculate x(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1022 divided by -7\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*j - 1)*(-4*j**2 + 2*j**2 + 3*j**2 - 2*j + 2*j**2 + 2*j + (-3 + 1 - 4)*(-2*j**2 + 1 - 1)).\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 15. Let h(z) = -6*z + 75. Let p(f) = -2*h(f) - 11*n(f). Let s = 4 + -15. Let t be p(s). Solve -x - 4*k + 11 = 0, 0 = x - 0*x - t*k + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 + 167. Let j(u) = -5*u - 1. Let h be j(4). Let x be (-79800004)\/14 - v\/h. What is x rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let y = -18 + 19. Calculate t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*s**5 + 2\/5*s + 9\/5*s**3 + 0 + s**4 + 7\/5*s**2.\nAnswer: s*(s + 1)**3*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*v = 2*v - 45, 5*v - 48 = -3*w. Let i be (3 - 71\/w)*(-9)\/(-12). Let l = 7\/10 + -73\/90. What is the second biggest value in i, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 42 = -3*f - 4*n, 4*n - 5 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/281 (b) 2\/3 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 3*s + 5. Let k = -155 - -159. Calculate w(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 11*o + 3*o**2 + o + 0*o**2.\nAnswer: 3*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 0*a - 2*a + (1 - 4 + 4)*(2*a - 3*a + 3*a) - 26*a - 32*a + 44*a + (-2*a + a + 3*a)*(2 + 2 - 3).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101560497?\nAnswer: 3, 33853499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/14 and 49\/400?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 2 (c) 0.3 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = o - 3, 129*m - 128*m + 12 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:33 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 181*y - 6016. What is the remainder when p(30) is divided by 99?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.591 + 2.591. What is the closest to x in 0.4, -4, 167?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 117228.\nAnswer: 468912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/52 and (57\/9)\/((-200)\/30).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5830.619l to millilitres.\nAnswer: 5830619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11562 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 49206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x\/(x**(4\/7)*x))\/(x*((x\/(x\/x**(-2\/5)*x))\/x)\/x*(x**(-2\/15)\/x)\/x) assuming x is positive.\nAnswer: x**(521\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3341 is divided by 390?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 8.490102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4844 + 87115\/18. Calculate the common denominator of k and -23\/285.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(1\/4 + (-21)\/(-28))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18480*g**3*v**3 + 26*g**3 - g*v**2 + 2*v - 2 wrt v?\nAnswer: -110880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 52, 170, 388, 736?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 17*b**2 - 72*b - 83. Calculate the remainder when f(21) is divided by 82.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + 11*f - 32. Let u(t) = -4*t**2 + t - 2. Let d(y) = 2*u(y) + v(y). Solve d(g) = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16944 - -0.36931. Let z = k + -0.2. Round z to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 - 424?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {m: 2, s: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878521?\nAnswer: 839, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = -3*h. Solve 3*p - x + 21 = 2*x, 31 = -5*p + h*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181436016 divided by 12?\nAnswer: 15119668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/3)\/(2*138\/(-115)))\/1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (10 + (4 - 8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by ((-1)\/2)\/((-109)\/7630).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 1:19 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (525\/14)\/15*(-1)\/((-60)\/2)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36565 - 75393. Let u = p + 54958. Round u to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2469 + 99*b**4 + 45*b**4 + 476*b**4 + 395*b**4 + 851 wrt b?\nAnswer: 4060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5194*s**2 + 100*s. Let p(u) = 742*u**2 + 15*u. Calculate 20*p(d) - 3*r(d).\nAnswer: -742*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 34 = -14. Solve -4*f + p = -0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((5\/15)\/((-182)\/117)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245098 is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2101251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -91*b**3 + 27*b**2 + 36*b + 187. Is w(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -35) + (0 - 3) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1871557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 744. What is i(-107)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -30 - (27 + (-49 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 167684598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 24 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1173 divided by 1.\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, 61, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rderjdeeejeeecjjje. What is prob of sequence jeje?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -121*q**3 + 24*q**2 - 8*q. Let g(j) = j**3 + j**2 + 2*j. Let i(v) = -4*g(v) - p(v). Find the third derivative of i(w) wrt w.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -21. Let w = 21 - m. Suppose -2*o = 5*z + 5, 25 = o - 0*z - 3*z. Calculate the remainder when o is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 404442 or 404549?\nAnswer: 404442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 + -154.087. Let d = 0.148 + k. Let f = d + -0.123. What is f rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1712422*w**4 - 1969730.\nAnswer: -6849688*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 464887 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 3. Let y = 382 - 385. Let r(g) = 3*g - 2. Give y*r(j) + 2*k(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 6*b - b - 977, 4*b + 218 = k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149.2*0.2\nAnswer: 29.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 + -256. Let a = -82.99999934 - f. Round a to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqueqqquuqeqequqe. What is prob of sequence uqe?\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u\/u**(7\/2))*u)*u)**(-31) assuming u is positive.\nAnswer: u**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/(9438\/195)*(-128)\/(-10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687127.7t to nanograms.\nAnswer: 687127700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -36*t + 6109. Let o be n(0). Calculate the greatest common divisor of 298 and o.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55334 + 6*y + 55334 - 8*y**3 - 6*y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584567.3t to grams.\nAnswer: 584567300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*n - 3*o = 83*n + 35, -n - 22*o = -7 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) -3 (c) 7.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1585 + 1587 - 21*x + 16*x + 2907*x**3 + 5*x.\nAnswer: 2907*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/208 and -157\/89622?\nAnswer: 716976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4 and 93\/76832.\nAnswer: 76832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = n + 7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 208822428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1525, 10, 5 in decreasing order.\nAnswer: 1525, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n + 12*n**4 - 14*n)*(2 + 5 - 3)*(-1 - 3*n + n + 4*n).\nAnswer: 96*n**5 - 48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 107422969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 5)*(-20*w**4 + 19*w**4 + 4*w**5 - 6*w**5).\nAnswer: 10*w**5 + 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z - 3407448 = -75*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60233 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - -7) + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 38*x**2 - 36*x**2 - 3*x**3 + 0*x**3 - 1. Let y be m(1). Is 8 a factor of 2\/(y\/42*6\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.72401 (b) 1\/4 (c) 4 (d) 3\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824490 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i. Suppose -5*k - p - 27 = 0, -6*k + k + 3*p = 19. Let b = 13 + k. Let o(z) = -b*z + z**2 + 7*z + z. Determine m(o(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323.75 - 0.06208311.\nAnswer: 323.68791689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 + 46707?\nAnswer: 46692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23442 and 15628?\nAnswer: 46884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddhhhdhhhhhhdehdh. Give prob of sequence eedd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.8 + -33. Let d = 2.2 + v. Which is the third smallest value? (a) -0.2 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*x**4 + 101558*x**3 + 28373565*x?\nAnswer: -384*x**2 + 609348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*s**3 + 2*s - 41*s**2 - 1 + 41*s**2 + (s + 3 - 3)*(-3*s - 2*s**2 + 3*s) in the form u + h*s + l*s**2 + r*s**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 571.40991ms in hours?\nAnswer: 0.000158724975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340 + 23*q**3 + 340 + 4*q**3 - q**3 - 4*q**3 + (3*q + 2*q - 3*q)*(q**2 + 0 + 0) to y + i*q**2 + g*q + s*q**3 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32147488 is divided by 10715828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -3) + 6 + 1 + (0 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 30*w - 8. Let s(p) = -13*p + 5. Let f(j) = -5*s(j) - 2*y(j). What is f(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10228414 is divided by 2045679?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1708, 2174, 3434, 5884, 9920?\n\"Answer: 66*j**3 + j**2 + j + 1640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than -716?\nAnswer: -716.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 796 + -796. Is 1\/189 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93457390 to the nearest 100000.\nAnswer: 93500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16857459299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 59 + 3*f**2 + 3*f - 57 - 3*f**3 - f**4.\nAnswer: -(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 1, -0.01, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 188, 82, -78, -298, -584, -942?\nAnswer: -1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 2\/3*54\/12 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/80)\/((-19)\/(-38))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1099 - -1095. Is w not equal to -267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**5\/20 + s**4\/3 + 2*s**3\/3 + 3*s**2\/2 + 14*s. What is v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from fdkydkyflddykdfd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 23*c + 25*c = 0, -5*c = -3*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 2 - 2*q**2 + 7*q**3 - 8*q**3 + 0*q**2. Suppose -3 = -3*t + 4*c, 2*c + 1 = -5. Calculate z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81325403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1 - (-1 + -1). Let n(k) = -8*k**2 - 42*k - 6. Let m be n(-5). Put u, -3, m in descending order.\nAnswer: m, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.233064 times 1?\nAnswer: 3.233064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412553841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 207*w + 8257. Calculate s(-40).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-2)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2234.022um?\nAnswer: 0.000002234022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from ntnntn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((270\/6960)\/((-31)\/(-124)))\/((-9)\/(-2)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (1 + 20) - -5. Suppose 0 = -3*z + z - 32. Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 14.16. What is the closest to 2\/5 in b, -0.5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 0, -10, 51, 17 in ascending order.\nAnswer: -10, 0, 17, 51, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2 - 17. Let y = -5 + u. Let p = y + 3. Let x(d) = d**3 + 7*d**2 + 7*d - 7. Let s(q) = q**3 + 5*q**2 + 5*q - 5. Calculate p*s(t) + 5*x(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*(-2 + sqrt(2299)*2*-4)*-6)**2 + 0).\nAnswer: 950400*sqrt(19) + 397278000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 470, 1912, 4316, 7682, 12010, 17300?\nAnswer: 23552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 51\/5996.\nAnswer: 17988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/74002530 and -12\/5.\nAnswer: 74002530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1257 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/60 - u**2. Let i(w) be the first derivative of w**2\/2 - 4. Calculate a(i(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 43*z + 1615. Let j be q(-37). Solve j = -21*i + 29*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*u + 3*h + 3, 11 = 2*u - h. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**2 - 9 - 6*g**2 - 3)*(-g - 2*g + 7*g).\nAnswer: 8*g**3 - 48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*l**5 + 2*l**4 - 971531*l**2 + 53829076*l - 1.\nAnswer: 220*l**3 + 24*l**2 - 1943062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3468*d - 2899*d - 2909*d + 9272*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 792*f**3 + 5*f**2\/2 + 4*f - 1. Let d be c(-4). What is d rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101 - 11323120?\nAnswer: -11330221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -36*c + 196. Let s be 1 - (-1 - 0\/(-1)). Suppose s*y = 4*y - 10. What is the remainder when c is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 5\/3 (c) -29157 (d) 578 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3 = -v. Let j be (2 + -2)*(-7)\/(-35). Suppose f - v*b + 3 = -0*b, j = 3*f + 5*b - 19. Solve -l - 2 + f = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 37*q**3\/3 - 4*q**2 + 13*q - 17. What is the hundreds digit of h(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4243*c - 359*c + 993*c.\nAnswer: -3609*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1712107 - -12?\nAnswer: -1712085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14642 - -3?\nAnswer: 14645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -w + 65 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 2 - 46 = 22*w, -j + 3 = -4*w - 6*j - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37263 - 34638. What is the highest common divisor of 189 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7517 is divided by 538.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 10*i + 9. Let m be k(-9). Suppose 0*s - 3*s + 6 = m. Find the second derivative of -s*c + 2*c + 3*c - 6*c + 4*c**2 wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520\/(-13) + 238\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 + 143 - 145 + 3*n**3 - 7*n**3 + 3*n**3 - 2*n**2 - 19*n to t*n**4 + l*n**2 + r + m*n**3 + d*n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3 + 20*c + 0 + 28*c - 39*c. Give z(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17. Put -8, k, -0.5 in descending order.\nAnswer: k, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/((f*f**(-1\/2))\/f*f))\/f)\/f*f**7)\/((f\/(f*f*f*f**(-3\/5)*f))\/f*f**(-4\/7)*f*f) assuming f is positive.\nAnswer: f**(593\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735224 divided by -19.\nAnswer: 38696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Suppose -2*o = -o - f. Suppose -2 = -z + o. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12126 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4240*d*w + 7*d - 582 wrt w?\nAnswer: 4240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/4)\/g**(-2))**(1\/17)*(g\/g**(-3)*g*g**(2\/25)*g)**(-46) assuming g is positive.\nAnswer: g**(-475131\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/45 - 7*f**4\/9 + 16*f**3\/3 - 37*f**2 - 23*f - 5. Let h(q) be the first derivative of c(q). Factor h(t).\nAnswer: 4*(t - 12)*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*v = 2*k - 8, -v - 2 = -3*k. Suppose -15 = 2*y - 5*d - 41, 2*y + 4*d + 10 = k. Factor -3\/4*p**y - 2*p - 1 + 11\/4*p**2.\nAnswer: -(p - 2)**2*(3*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238693 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23196 - 0.5?\nAnswer: 23195.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149 and 12069.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20. Solve -2*w + 10 = c*j - 10, 5*w - 21 = 2*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3004, -14108, -33322, -60646, -96080, -139624, -191278?\n\"Answer: -4055*a**2 + 1061*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -2. Let d(t) = 3*t + 12. Let u be d(-6). Let f = x - u. Solve -l - f = -5*i - 22, -5*i - l = 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.48 - -0.38. What is the third biggest value in 5, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 1. Let a(m) = -5*m + 4. Let d be (1 + 1\/3)*(-18)\/4. Determine d*p(j) + a(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*h + 2*h. Let n be 12\/10*(-120)\/h. Let m be n\/(-5)*45\/(-18). Solve -19 = 5*u - 2*w, 5*u + m*w + 37 = -0*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54326953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.81 + -6.81. Which is the closest to -0.2? (a) x (b) 2\/5 (c) 2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1003803 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134140 or 2?\nAnswer: 134140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80429, -80428, -80427?\nAnswer: -80426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6125 is divided by 875?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = n - 23 - 125, -5*n + 200 = 5*l. Let z = l - 35. Solve -x + 4 = -z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25306 - 25306.0043172. Round y to 5 decimal places.\nAnswer: -0.00432","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 6 - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7460 - -3499. Let i = y - -3966.9092. Let c = -5.9 + i. What is c rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -d + 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44220 + 44121 = -11*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1843 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602*m + 4088 = -456*m. Let f(j) = 12*j - 6. Let n be f(4). What is the highest common divisor of n and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(((sqrt(143) + sqrt(143)*4 - sqrt(143))*-3)\/sqrt(11) - (sqrt(1053) + 1 + sqrt(1053) - (sqrt(13) + 1 + sqrt(52)))) + 3)**2.\nAnswer: -648*sqrt(13) + 151641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14400289 times -0.3?\nAnswer: -4320086.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5011646761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354.8, 0.2, -9 in increasing order.\nAnswer: -354.8, -9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/162*4\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12601*x**2 - 3*x + 3. Is k(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1323098.\nAnswer: 3969294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/20 - q**3 + 3*q**2 - 54*q. Let a(u) = 3*u**3 - 17*u + 17. Determine 6*a(n) - 17*l(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -84*l + 316. Let h be y(-26). What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-3 + -3 - (sqrt(252) + 0 + 1 + sqrt(28))**2.\nAnswer: -452 - 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1113?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 4*c\/5.\nAnswer: -c*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 990275688 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 2. Let z be k(2). Let j be (-20)\/(-30) - 32\/(-6). Suppose -5*f = -j*f. Sort f, z, -2 in decreasing order.\nAnswer: f, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 - 1)*(3*o + 0*o - o) - 14 - 26 + 34*o + 43)*(-100*o**3 + 74*o**3 + 0*o**2 + 0*o**2) to t*o**2 + l*o**4 + u*o**3 + r*o + c and give l.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 4. Let l be s(-2). Differentiate 7 + 5*y**l - 2 - 4 with respect to y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m - 35*m = -7. Let p be (-3 - (1 - 2))*-22. Let c be (-14)\/(-8) + (-33)\/p. Put c, 2, m in ascending order.\nAnswer: m, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1635, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 9, -1.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 15*k - 22 = -10*k, -5*l - 21 = 4*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400912 is divided by 398?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 7173830*i - 2573191843445.\nAnswer: -5*(i - 717383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -4)\/(2 + 8\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 111110100 (base 2) to base 10\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2959853, -2959856, -2959859, -2959862?\n\"Answer: -3*p - 2959850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4408155638.\nAnswer: 2, 2791, 789709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6322?\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 151. Calculate the remainder when (-664)\/(-12) - (-2)\/q is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -2*x. Suppose -4*d + 16 = a, d = 5*a - 0 + x. Suppose -d*t - 150 = -9*t. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*16\/60*18*1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1734*f + 3460*f = 1749*f - 46 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(91) + -2*sqrt(91)*2 + sqrt(91))\/(sqrt(847) + ((sqrt(847) + sqrt(847)*-2 + sqrt(847) - sqrt(847)) + sqrt(847) - sqrt(847)) + sqrt(847)).\nAnswer: -12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (-2*sqrt(119) - sqrt(119))*-3)*-3)\/(-3*-1*sqrt(252)).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129173 - 1279982.5?\nAnswer: -1150809.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c + 20*c**3 + 36*c**3 + 140 - 118 + 5*c**3 wrt c?\nAnswer: 183*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 34100000. What is g rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**5 + 2*b**4 - 6*b**3 + 6*b**2 - b. Let l(h) be the first derivative of h**5\/5 - h**3\/3 + 2. Let k(p) = 2*l(p) + x(p). Factor k(a).\nAnswer: -a*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 17*q + 6 = 0. Let r be -7*q*(-4)\/24. Put 3, -8, r in descending order.\nAnswer: 3, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from oototjttoojt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 26. Put g, 2, -2\/15 in decreasing order.\nAnswer: g, 2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, 283231, -1, 1 in descending order.\nAnswer: 283231, 15, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96806164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from bbbbbbvvb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/4, -13\/5, 5\/3 in descending order.\nAnswer: 3, 5\/3, 5\/4, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989941 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -125*s - 950. List the prime factors of a(-38).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -607902 divided by 101317.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-4)\/54)\/((-104)\/(-234)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -5604.\nAnswer: 49\/5604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*t + 17, -13 = -3*n - 2*t + t. Suppose 18 = n*q - 0*q. Let b(i) = i - 2. What is b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9369 - -9373. Sort -1, 55, 1, p, 0.\nAnswer: -1, 0, 1, p, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 659 + -659. Let f be ((-6)\/(-5))\/((-9)\/(-30)). Suppose 4*y - f - 4 = -h, -4*y = 3*h - 16. Solve z = -y - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108\/7 + 53\/7*f**2 + 1\/7*f**3 - 8*f.\nAnswer: (f - 2)*(f + 1)*(f + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 1038 + 398 = -52*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26520\/(-55250)*1\/(-2).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1934047 less than 7.8?\nAnswer: 1934054.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118497934, -236995869, -355493804, -473991739, -592489674?\nAnswer: -710987609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. Suppose 4*x = 5*j - 30, -j = 4*x + 10 + 8. Let v(z) = -2*z**3 - 6*z + 11*z + z**3 - 1 + 4*z**j. Determine v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 171. Solve -20 = -t - u*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 636 - 2304?\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -8.7, -3, -9\/68, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266510 and 1450.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2933?\nAnswer: 1\/2933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9492087 - -29792087. What is v rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000777 to five dps.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 651376207*v - 404066365?\nAnswer: 651376207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 0*y**2 + 5*y**3 - 12 + 2*y - 7*y + 6*y**2. Let a(h) = 2*h**3 + 2*h**2 - 2*h - 4. Let u(v) = 8*a(v) - 3*f(v). What are the prime factors of u(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 - 10*r + 7. Let x(n) = n**3 - 17*n**2 - 17*n - 17. Let h be x(18). Let v(k) = k**2 - k + 1. Let y(t) = h*u(t) - 5*v(t). Calculate y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145769531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-84)*35 - -24 - 118.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3254248*d**2*t - 88532*d*t + d - t - 7 wrt d.\nAnswer: 6508496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 88 - 44 - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = 0. Let w = -43 - -43.5. Put w, 1\/10, a in descending order.\nAnswer: w, 1\/10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -725 (c) -4 (d) 3 (e) 2\/9 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8264874 is divided by 550991.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/15*1)\/((-168)\/60)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 9*m + 5. Let s be f(-8). Let w be (-5 - s) + 4 - 2. Solve w*z = -2*z - 2*n - 2, -8 = -2*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57b - 48?\nAnswer: -5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 0, -t - 3 = -4*o + 3*o. Suppose -z + 4*k = -o, -3*z - k - 1 + 10 = 0. Solve 3*j - 12 = -z*l, -2*j + 18 = j + 5*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**2 - 1. Let c(y) = 61*y**2 - 41*y - 10. Let d(z) = -18*z**2 + 12*z + 3. Let b(i) = -5*c(i) - 17*d(i). Give -b(t) + u(t).\nAnswer: 16*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 2*w - 24 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*a*b*g - 201*a*g**4 + 124807*b*g**4 + 34720*g wrt g.\nAnswer: -2412*a*g**2 + 1497684*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**2 + 4*o**2 + 4337 - 31*o**2.\nAnswer: -2*o**2 + 4337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -3. Let m = c - 5. Solve m = -3*v - 2*z - 12, v + 5*z = 4*z - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 705790 divided by 352895\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251040 is divided by 83673.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b**(3\/7)*(b*((b**(-2)\/b)\/b)\/b)**(-38)*(b**1)**(-17\/3)*(b*b*b\/b**(6\/7)*b*b)\/b*b**(-2\/23)*b*b assuming b is positive.\nAnswer: b**(75743\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 - 111*d**2\/2 + 28*d + 167\/6.\nAnswer: -(d - 1)*(d + 167)*(2*d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/69 or -2.04637?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 104492*s - 1776942.\nAnswer: 2*(s - 17)*(s + 52263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179 is divided by 381?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 22 + -1 + (785 - 792) + 34.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j + 80*j - 2*w = 42*j + 2, -2*j = w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 21 + 1 = 4*f, 2*q = f. Sort -0.06, -2\/7, f in ascending order.\nAnswer: f, -2\/7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 2*u**3 + 4*u**3 + 23322*u**2 - 45933*u**2.\nAnswer: 2*u**3 - 22611*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(975)*-2)\/(4*1*sqrt(3)) + -3).\nAnswer: -10*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008086 to 6 dps.\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*b**2*h**2*s*w + 2*b**2*h**2*w - 13*b**2*s - 3*b*s - 32*b + 5*h**2*s*w + w wrt b.\nAnswer: -30*h**2*s*w + 4*h**2*w - 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2817309901102 and -0.5.\nAnswer: 0.7817309901102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/5224 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*p + 3418, -4*h = -2*p - 19206 + 5504. List the prime factors of h.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**5 + 10*j**3 - 43*j**2.\nAnswer: -60*j**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:03 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) -0.5 (c) -3.3 (d) 1\/2 (e) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 91.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -1\/4 (c) 2\/5 (d) -4 (e) 0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 53*a**2 + a**3 - 53*a**2 + 3 - a. What is the units digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434703*t**5 - 409*t**2 + 4*t + 1096?\nAnswer: -26082180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 2184779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -0.177\nAnswer: -0.01416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*g = -5, -164*g = -5*q - 169*g - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942836077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 92, 14, -134, -376, -736, -1238, -1906?\nAnswer: -2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2*n**3\/3 - 3. Let f(z) = 5*z. Determine f(v(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(363) + (sqrt(363) - (sqrt(363) + -3))*6 - ((sqrt(363) + -2 + sqrt(363) - sqrt(363))*-2 - sqrt(363)))**2*2*-1*-2.\nAnswer: 24640*sqrt(3) + 120080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001157 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/96 and -61\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463688?\nAnswer: 2, 3, 29, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130871429 to the power of 1\/2, to the nearest integer?\nAnswer: 11440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l + 455. Let o be k(38). Let p(b) = 12*b + 1. Calculate p(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.15, -0.7, 0.4, 0.08, -14?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/5 (b) -1\/44 (c) 259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 22. Let t(a) = 17*a - 2. Is 32 a factor of t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 57 + 172*d - 115.\nAnswer: 172*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 197, 1, 215 in descending order.\nAnswer: 215, 197, 128, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y + y - y. Let i(c) = -10*c - 11*c + 24*c - 5*c. Calculate i(h(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 643255a (base 11) to base 6\nAnswer: 1042351121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149370376 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1001 - -0.0199. What is the biggest value in 3\/4, 1, 0, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {b: 2, i: 7, h: 9}.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 24 = -18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 147*r + 139*r - 4 + 23 + 15*r.\nAnswer: 2*r + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -953\/2 + 464. What is the common denominator of (-1554)\/1232 - 15\/40 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*i - 1 + (-3*i - 3*i + 16*i)*(-5 + 2 + 4))*(-280 + 373 - 211)*(-i**2 - 2*i**3 + i**2).\nAnswer: 2832*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 9541 + 9229 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/204313274 and -33\/92869670.\nAnswer: 1021566370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -33004322?\nAnswer: 1\/33004322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163966269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -17 + 11 + (9 - 25) - -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31573 - 15769 - 15753 + 120*v to q + w*v and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)\/(z*z\/(z*z**8)))\/(z*z*z**(1\/3)\/z*z)**(1\/3))\/((z\/z**2)**(-8)*(z**(-1\/4))**(1\/11)) assuming z is positive.\nAnswer: z**(-3079\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32\/5 (b) -3 (c) 2\/9 (d) -1 (e) -0.2 (f) -250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14682556789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(550)*-4)\/sqrt(11).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34500096?\nAnswer: 2, 3, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 13*w. Let d be j(2). What are the prime factors of 4\/d - (-802)\/26?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.058.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1728631628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 6*i**2 - i**4 - 10*i**2 - 185 + 264 in the form k*i + p*i**4 + a*i**2 + g + h*i**3 and give g.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/4471 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2860 and 35230?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8314*j**4 - 2*j**3 - 46290*j wrt j.\nAnswer: -99768*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79.8 + 80. Which is the third smallest value? (a) -0.1 (b) -1\/8 (c) 0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -2. Let t be 3 - (5 - 2) - 0. Suppose -5 = -t*a - 5*a. Are w and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.172919 to 2 decimal places.\nAnswer: -67.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 41. Let l(y) = -y**2 - 7*y - 3. Determine l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13147513, -13147512, -13147511, -13147510, -13147509?\n\"Answer: y - 13147514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*p - 4*p - v, v + 5 = 0. Let k(u) = 2*u + 12. Let y be k(p). Let o(n) = -n + 2*n - 8 + 6 + 4 + 6. Give o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6511.2918 rounded to zero decimal places?\nAnswer: -6511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3381 + 3381. Solve 5*q + z*g = -2*g - 2, -18 = q - 4*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1 + 13*n + 1 - 3. List the prime factors of j(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -1599\nAnswer: -12792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13407, 13410, 13415, 13422, 13431, 13442, 13455?\nAnswer: 13470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27604961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -35 - -48 - 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - -5. Suppose -5*x = 5*a - 290, a - 121 - n = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + 27. Let p = v + -32. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211001 (base 3) to base 15.\nAnswer: 5d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -131, -540, -1421, -2954, -5319?\n\"Answer: -30*k**3 + 34*k**2 - 9*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.43 + -0.07. Let s = -0.6 + 2.6. Let g = s + j. Put g, 0.3, 0 in decreasing order.\nAnswer: 0.3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -353 (b) -4 (c) -31 (d) 0.04 (e) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**8\/3360 - 7*w**4\/24 + 4*w**2. Let b(p) be the second derivative of d(p). Factor b(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3074 and 5194?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 + -6 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t - 8. Let f = t + 86. Suppose -f = -4*o + 4*m, -4*o = -3*o - 3*m - 18. Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -25. Find the common denominator of 10\/11 and 1 - 1\/i*-109.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1\/4 (c) 0.9 (d) 257\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*x**2 - 1028*x**2 - 970*x**2 to n*x**2 + b*x + j and give n.\nAnswer: -1868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(1\/(4\/(-3))). Let o be 4\/(-18) - 58\/(-18). Let s = 9 - o. Solve -r - s = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.49 + -1.11. Let s = z - -32.6. Do 6 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - -1*sqrt(432)*-1) + -3 + sqrt(432) + sqrt(432) + -1)*1)**2.\nAnswer: -192*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 1 + 57\/21. Let d be (-10)\/20 + 18\/4. Suppose 0*w + 2*o - 23 = 5*w, d*o = 16. What is the closest to 0.2 in t, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 7:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 36 = -6*n. Let j be 24\/(-108) + (-61)\/n. Calculate the remainder when (-47)\/j - 18\/(-63) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = 11*d - 80 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssysxsssdssssddsxyx. What is prob of picking 2 s, 1 x, and 1 d?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31\/30 (b) 4 (c) 2.14 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqccccccccccccccqc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2526*y**2 + 18*y + 16.\nAnswer: 5052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-13)\/(-546)*-12. Factor -h*l**2 - 20\/7*l - 18\/7.\nAnswer: -2*(l + 1)*(l + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 2, k: 5}. What is prob of picking 2 v and 2 k?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/9)*u\/u**(-22) assuming u is positive.\nAnswer: u**(205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3 = 2*m + 7, 3*m = 4*x - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57063613 rounded to the nearest 10000?\nAnswer: -57060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 2}. Give prob of picking 3 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**3 - 5*p**2 - 11*p - 14. Let x(n) = -4*n**3 - 3*n**2 - 7*n - 9. Suppose 5*v = -3*f + 40, -5*f - 13 = 4*v - 58. Determine f*k(m) - 8*x(m).\nAnswer: 2*m**3 - m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 93 = t, -155 = -4*t - 3*h + 243. Let i = -8 + t. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -4 (c) 1.5124031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, 5, -5\/11, -134?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmnxxmxmxmnmmmmxmx. Give prob of picking 1 m, 1 x, and 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/3 - 9*q**2\/2 + 2*q. Let h(g) = -21160*g - 3*g**2 + 1661 - 21152*g + 42312*g - 1661. What is p(h(r))?\nAnswer: 36*r**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/((w**(-3)*w)\/w*w*w))**(35\/6)\/(w*w*w**(-1\/5)*w*w*w*w*w**0*w**(-5\/7)) assuming w is positive.\nAnswer: w**(-1759\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 5*l + 21. What are the prime factors of b(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*p + 1. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135643 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 136203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056668*-1.\nAnswer: 0.056668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 35*k - 591. Let u be y(17). Which is the closest to 0? (a) -0.5 (b) 1\/20 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1568, 3690, 5822, 7964?\nAnswer: 10116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -247.22*5\nAnswer: -1236.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Let r(m) be the second derivative of 0*m**2 + 0 + m - 1\/6*m**3. What is j(r(d))?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1232 and 20241984.\nAnswer: 222661824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*a - 3293*a - 183897 = 1066*a for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1469, -14183, -49381, -118307, -232205, -402319, -639893?\nAnswer: -956171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449395?\nAnswer: 5, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 3*l + 1. Let q be h(0). Which is the nearest to q? (a) -5\/3 (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186883 + 273073 = 1014*u for u.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -200303 (base 4) to base 13\nAnswer: -c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, -4, -288\/29, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -4, -8, -26, -64, -128, -224?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - p**2 - 2*p - p + 4 + 2*p. Let l be f(2). Let y(z) = 4 + 9 - z - l - z. Determine y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 105, 163, 221, 279, 337?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 926, 3, -1, 60, -3 in increasing order.\nAnswer: -3, -1, 0, 3, 4, 60, 926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 355823 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13986 divided by -20734?\nAnswer: 999\/1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*c = -15, 2*f - f = c + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwifwptiizt. Give prob of sequence tp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 3, v: 1, s: 1, q: 1}. What is prob of sequence qlv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -38)*62\/(-341)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + 2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 32\/3*p**2 - 4*p + 16\/9*p**3 + 1\/9*p**4 + 0. Let r(z) = 0. What is z?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -557 + 564. Suppose 0 = -v*f + 315 + 805. Is f a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + 5*t - 5*t)*(-6*t**2 - t**2 + 4*t**2)*(5*t - 1 + 1) in the form g*t**4 + i*t**2 + h*t**3 + s*t + w and give g.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:17 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 255464 (base 9) to base 7\nAnswer: 1213456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (1 - -1) - 779. Calculate the remainder when 2\/3 + l\/(-51) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306215, 616931, 927647, 1238363, 1549079, 1859795?\nAnswer: 2170511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2870 - -2871. Which is the third smallest value? (a) q (b) 7.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -101. Let c(w) = -2*w + 5. Let k(x) = -4*x + 9. Let q(a) = -7*c(a) + 4*k(a). Calculate the remainder when 27 is divided by q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-3)\/(-6)). Calculate the remainder when (3 - -2) + g\/(-1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 - 110220?\nAnswer: -101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 172*s**3 - 2*s**2 + 1. Let q be v(1). Suppose 0 = -11*f - 3*f - 1302. Let n = f + q. What is the remainder when n is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(2*sqrt(4)))\/(sqrt(8) + (sqrt(392) - (sqrt(392) - -2*sqrt(392))) + sqrt(8)) + -2 + (sqrt(5) + -1 - sqrt(5))*2*-6.\nAnswer: -sqrt(5)\/24 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 + 29 + 22)*(-5*o**4 + 4*o**4 - 2*o**4) to l*o**3 + n*o + q*o**2 + a*o**4 + b and give a.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/51 + (-8 - 966\/(-119)). Let n(g) = -g**3 + g**2 + g + 3. Let y be n(0). Sort -13, y, f in ascending order.\nAnswer: -13, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2625 divide 164209500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 26 - 34. Let x(w) = 2*w + 19. What are the prime factors of x(j)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 0.11, 0.6, 37, 11, 14?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 94789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.1. Let s = -0.44 + w. Let k = s - 0.96. What is the nearest to k in 1\/3, -5, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 509 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3772 or 3013?\nAnswer: 3772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 5. Let n = -7 + w. Which is bigger: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) 0.016 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 11*m - 60. Let v be i(-12). Suppose 5*g = -5*f + 1976 - v, 0 = -2*f + g + 701. Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 7*d**2 + 12*d - 92. Let n be i(7). Let x(c) = c**3 + 2*c**2 - 2*c + 4. Let f be x(-3). Let t be 2*4*(-1)\/f. Is n < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-1)\/(-3) - (-96)\/(-3). Let g = 23 + j. Sort 5, g, 4, -2.\nAnswer: g, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 0.002612.\nAnswer: -2.002612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 26 - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/16*100\/25*-18.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113959443.\nAnswer: 3, 13, 47, 62171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 25132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172996771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7850 is divided by 1949.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645977?\nAnswer: 3, 227, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23890?\nAnswer: 2, 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 17*u + 1. Let q(h) = 90*h + 10. Let d(w) = 2*q(w) - 10*t(w). Let r = 18 - 13. Let a(l) = 7*l + 7. What is r*d(k) - 7*a(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19162 is divided by 3174.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -299*x + 21. Let f be p(-2). Let j = f + -514. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:20 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 0*j**3 - 4*j**2 + 0*j**2 - 3*j**3. Let h(q) = -q**3 - 3*q**2. Let b(y) = -7*h(y) + 3*p(y). Factor b(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/364)\/(1*1\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1033 + -1032.8. Let z be ((-8)\/(-60))\/((-1)\/10). Which is the nearest to h? (a) 6\/7 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(((-3)\/2)\/3). Let n(t) = 2*t - 4*t**w + 1 - t**2 + t**2 - t**3. Suppose -l + 10 = 14. Calculate n(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 24. Let z = 22.9999982 + y. Round z to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 348 = -72. Calculate the remainder when v is divided by 2\/11 + (-512)\/(-88).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2197.87 centimeters?\nAnswer: 21978700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 15, i: 3}. Give prob of picking 1 b and 3 d.\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.12, 2\/9, -0.7, -6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.8. Let q = 0.0032 - 0.0032. What is the smallest value in t, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:25 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - ((-21632)\/(-273))\/16) + 558\/189.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a - a)*(-4 + 2 - 58) + (-2*a + 1 - 1)*(-4 - 1 + 2).\nAnswer: 306*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2211 by 21.\nAnswer: -737\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 681520*k - 29029344400 = 0. What is k?\nAnswer: 85190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*r + 96576 = 96620, -6*r - 46 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 12:19 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(2 - (-129)\/(-60)). Solve p = -9*t + 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.8 + -8.8. Sort 17, z, 4, 2\/7.\nAnswer: z, 2\/7, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(28 - (-447)\/(-15)).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -268*n - 1469. What is the thousands digit of q(-40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*y + 248, -5*f - 5*y + 304 = -4*y. What is the remainder when f is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1608, 9291, 30170, 70845, 137916, 237983, 377646, 563505?\nAnswer: 802160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 599.\nAnswer: -5\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46086850.\nAnswer: 2, 5, 921737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/23)*g*g)\/g)**1\/(g**30*g)**(-16) assuming g is positive.\nAnswer: g**(11452\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4838969 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -9*k**4 - 29*k**3 + 31. Find the third derivative of d(r) wrt r.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(252) + sqrt(252) + (-1*sqrt(252) - sqrt(252)) - sqrt(252) - (-4 + (-3*sqrt(252) - sqrt(252)) - sqrt(252)))**2.\nAnswer: 240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2 + 2. Solve b + h = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 50. Let h be (6 - q)\/(3 - (-1)\/(-1)). Solve 0 = -6*p + h*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q + 0*q + 35*q)*(q**3 - 5*q**3 + q**3 + (3 - 2*q**2 - 3)*(2*q - 13*q - 2*q)) in the form x*q**2 + f*q**4 + a*q**3 + n*q + t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) - 50\/(-15). Suppose -5*n + 596 = 4*x, 0*n + n + a*x - 116 = 0. What is n rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -22. Is c at most -1\/96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from vggnvvvvjvjvnjggv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l + 35962 = 2884. Let z = 2229 + l. List the prime factors of z.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t. Give l(16).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/5 - 18702*k**2\/5 + 7479*k - 18696\/5.\nAnswer: 3*(k - 6232)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*8\/((-16)\/42). Let d be (x\/35)\/(1\/45). Suppose -4*o + d = -3*t, 0*t + t = -5*o + 10. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 less than -498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.3 + 8.3. Let j = 21\/17 + -307\/221. Which is the closest to -1? (a) j (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/11)*u*u\/(u**(2\/9)\/u)*(u*u**(-1\/4))**(17\/5)*u\/(u*(u*u**(-3\/8)*u)\/u*u*u)*u*u*u**(-2\/3)*(u\/(u\/(u\/(u**0*u))))**(7\/8) assuming u is positive.\nAnswer: u**(16703\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = -d - d. Calculate the common denominator of 13\/6 and 2947\/d + 4\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h + 21 - h**3 + 62*h**2 - 203*h**2 + 108*h**2 - 98 - 8*h**4 wrt h.\nAnswer: -96*h**2 - 6*h - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + 15*l + 1. Let t be f(5). Let m = -3\/5 + 7\/20. Which is the closest to m? (a) -4 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127603994 rounded to the nearest 100000?\nAnswer: 127600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*y + 10*y + 208*y - 106*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = g + 4, 2*g - 4*z = 0. Solve -3*f = -g*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1379007 - -32472154\nAnswer: 31093147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 5*j = 22*v - 7, -v - j = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/40*-18 + (-2)\/10. Let s(w) = -6*w - 5. Give s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 5*x**2 - x + 5. Let y(k) = 5 - 1 + 1271*k**3 - 1268*k**3 - 4*k**2. Calculate -4*m(f) + 5*y(f).\nAnswer: -f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 7*f + 0*f = 0. Suppose -10*l + 8*l + 6 = f. What is the nearest to 0 in 1, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8833*21.\nAnswer: 185493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from mmemmmwwyw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 6*b**2 + 2*b - 4. What is d(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-3*2)\/sqrt(12).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461234, 1844943, 4151128, 7379783, 11530902, 16604479?\nAnswer: 22600508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 plus -6494560.9505?\nAnswer: -6494560.8705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 1 + 3 + (2*sqrt(99) - sqrt(99))**2.\nAnswer: sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*x + 15, 0 = 6*x - 2*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f. Let m(v) be the first derivative of -17*v**2\/2 - 143. Give m(u(d)).\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o - 431. Let f be v(0). Suppose -824 = 6*a + 364. Let u = a - f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m + 5400 = 280*m - 340*m + 132*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + 54. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18048\/(-7168)*-14 - (0 + 3\/(-4)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsls when four letters picked without replacement from {l: 4, u: 7, s: 2, x: 5}?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362031.\nAnswer: 3, 120677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3\/3 + 234*o**2 - 54756*o + 294. Let q(l) = 0. Calculate l.\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380306 to the power of 1\/2, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3440018 and 483?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*d**2*u + d**2 - d*u + 11346*d - 5*u wrt u?\nAnswer: 12*d**2 - d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20041340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 >= -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.93 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41785*b - 18447 = -41914*b for b.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, j: 3, m: 4}. What is prob of picking 2 j and 1 b?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/5049?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -2*x + 85. Let h be (6\/8)\/(1332\/32). Let u = h + 2699\/111. What is the common denominator of u and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3699, -3664, -3605, -3522, -3415, -3284?\nAnswer: -3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23412? (a) 3 (b) -5 (c) 13 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/3, -2\/13, 0.143, 29\/4, -1, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17359, -1\/64, -3?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + m)*(40 - 13*m - 40)*(13 + 2 + 5).\nAnswer: 1040*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - u + 227 = 1434, s = -3*u + 251. Let b be (-1)\/(1*(-6)\/132). What is the highest common divisor of s and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1840*w - 11*w**2 - 969*w - 4*w**2 - 880*w + 17*w**2.\nAnswer: 2*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = a + 4*b, 8*a = 3*a + 5*b + 170. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 3*m**3 + 7*m**2 - m**3 + 2*m as o*m + k*m**3 + n + r*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-27*r**3 + 11*r**3 + 3*r**3) + 5*r**3 - 32 + 32.\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/23 + 279214*f\/23 + 279216\/23 = 0. Calculate f.\nAnswer: -1, 139608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2\/2 - 3681333*h\/2 + 1840668 = 0 for h.\nAnswer: -1227112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*v - 13, 2*v - i + 3 - 10 = 0. Let b = -1 - -3. Differentiate -1 - b + 6 + y**v wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 6*l - 2*l**2 + 6*l + 4*l**2.\nAnswer: 2*l**2 + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 528*i*w**3 - 6*i*w**2 - 3*i*w + 2*i + 31*w**3 - 4*w**2 - 284923*w + 5 wrt w?\nAnswer: 3168*i*w - 12*i + 186*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 10*i**2 - 10*i - 11. Let v be a(-9). Calculate the remainder when 25 is divided by -6*((-21)\/6 - v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 356*r - 19122. Calculate n(54).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:08 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1628 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 2, -5734, 2\/5 in increasing order.\nAnswer: -5734, -0.05, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-63)\/(-2) - 4\/12. Let p = -31 + b. Suppose 5*i + 9 = 5*f - 6, 0 = 3*f + i - 1. Is f > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -90*t**3 - 2*t - 3. Let l be x(-1). Suppose 4*m + l = 5*m. Let j = m + -58. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/11*x + 8\/11*x**3 - 12\/11 + 38\/11*x**2.\nAnswer: 2*(x + 2)*(x + 3)*(4*x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 - 22. Let c = x + 18.7. Let w = 225\/4 + -56. Sort 12, c, w in descending order.\nAnswer: 12, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i - 2218 = 187. Let b be -1 - -2 - (-93 - 10). Calculate the highest common divisor of b and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.2 and 33365.\nAnswer: 33366.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 3*g - 3*g)*(4*g**3 - 4*g**3 - 2*g**3) - g**3 + g**3 - 2*g**4 + 2*g**4 + g**4 + g**4 + (1 + 3 - 3)*(-11*g**3 + 11*g**3 + 10*g**4).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 2\/7*s**5 + 0 - 2\/7*s**4 + 2\/7*s**3 + 2\/7*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - ((sqrt(5)*-1 - sqrt(5)) + -4 - sqrt(5))**2 - (5*sqrt(20)\/sqrt(4) - sqrt(5)) - (sqrt(45)\/(sqrt(36)\/(sqrt(8)\/sqrt(2)) + sqrt(9)))**2.\nAnswer: -249\/4 - 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + t = 484 - 1721, 5*h + 4*t = 3099. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 220\/9503 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = 4. Suppose -r*p - 4*y = -756, y = 5*p - 2*y - 961. Is (6 + -4)\/(2\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 11 = -j + 29, 3*j = q + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 543454913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 - 101. Suppose 4*h + d = -21. Let v = 36 + h. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/3*v**2 + 5\/3*v.\nAnswer: 5*v*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - -0.03. Let n = 0.1 + f. Which is the biggest value? (a) 2\/11 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 5. Let t be j(0). Suppose -50 = -5*b + 5*u + 20, -t*b - 4*u = -52. List the prime factors of (5\/(-3))\/((-2)\/b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68616636 to the nearest integer?\nAnswer: 8284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97208 is divided by 765.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (7 + -3) - (-100)\/(-8)*8\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3345, -3373, -3399, -3417, -3421?\n\"Answer: l**3 - 5*l**2 - 20*l - 3321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183934441*n**5 - 3*n**2 + 2*n - 3091517 wrt n.\nAnswer: -11036066460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 43*r**2 - 14*r + 33. Let c be o(11). Solve 5*p = 2*d + 26, 3*p = -4*d - c*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:55 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p**4 + 0*p)*(0*p - 5*p + 4*p + 0*p - 3*p + 2*p + (-2*p - p + 5*p)*(-1 - 1 + 1) + 202 - 202 - 51*p).\nAnswer: -110*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 181, 733, 1657, 2953, 4621?\n\"Answer: 186*n**2 - 6*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16766.6457 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 68. Let v(j) = -j + 3. Let h be v(-7). Solve y*f = 5*f + h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/42 + 2\/7. Solve -h + n*h = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/657 and -79\/90?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565136319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/9)\/((-12)\/(-18)). Suppose 8 = -2*u + 4*m, -4*u + 5*m = 2*m - t. Solve 0 = u*h - p + 2*p + 8, 0 = 2*h + 2*p + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 - 6*a - 9. Let h(d) = -10*d**2 - d + 104. Let t(i) = -11*i**2 - 2*i + 120. Let p(w) = 7*h(w) - 6*t(w). Give -6*p(r) - 5*z(r).\nAnswer: -r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -4.96 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r\/(r*r*r**12))*r*r**(-3\/8)*r*r**(-7)*r**(-14)*r assuming r is positive.\nAnswer: r**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -349069915 by -787.\nAnswer: 443545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -702 - -708. Which is the nearest to 4\/19? (a) -2\/11 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + p + 14 - 19 = 0, -4*p + 20 = -4*z. Solve -3*j - 4*b + 14 = z, -4*j - 3 = b - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -686 - -11?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.82 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114343.\nAnswer: 114343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92973037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 7. Let n(v) = 6 + 7 + 2 + 12*v + 14. Let i(j) = 9*b(j) + 2*n(j). Let k(h) = -h - 1. Give 2*i(l) - 9*k(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 457028?\nAnswer: 4113252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32121522 (base 6) to base 13.\nAnswer: -270827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 16, o: 2}. What is prob of picking 2 o and 1 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.818 (b) -1\/5 (c) 1\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**6\/210 - 11*g**5\/105 + 4*g**4\/7 + 24*g**3\/7 - 9*g**2\/2 - 9*g. Let x(i) be the first derivative of o(i). Factor x(a).\nAnswer: 4*(a - 6)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - k**2 - 3*k**2 + (2*k**2 + 0*k**2 - k**2)*(2 + 4 - 4)*(2 + 0 - 1).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 75. Solve -w*f + 4*f + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = 2, -5*p = 2*x - 1367. Let n = p - 132. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21.7 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-897919 - -6) + 2)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 32. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let c(g) be the first derivative of -g**2 - 143. Give n(c(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = 7*r + 130 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10268*n**5 - 1909*n**4 + 143916598*n wrt n?\nAnswer: -205360*n**3 - 22908*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/7 - 105*z**2 + 23598*z\/7.\nAnswer: 3*z*(z - 207)*(z - 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -123*j + 23. Let s(i) = 185*i - 35. Let o(c) = 7*r(c) + 5*s(c). Let b be o(10). Suppose 5*t - 99 = b. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2122 - 3004 = -162*u + 5404 for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0. Let g = -25.7 + 26. Is c < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13775944 divided by 6?\nAnswer: 6887972\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*x + 237*x - 113*x - 10*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1906 - -1902.99. Put b, -3, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*u**4 + 55*u**3 - 43855820*u**2 wrt u?\nAnswer: -552*u + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:09 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djd when three letters picked without replacement from djdd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 4208*f.\nAnswer: -4208*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50347247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 4*u + 2*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 2*w - 9. Let y(m) = -m**2 - m + 4. Let g be 18\/(-2*1\/(-1)). Let d be (-2)\/6 - 26\/(-6). Determine d*c(j) + g*y(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15311, 15309, 15307?\nAnswer: 15305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 223489451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6674078.5917 and 4.\nAnswer: -6674074.5917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 817293, 817290, 817287?\n\"Answer: -3*f + 817296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*i + 120*i + 24*i - 27*i.\nAnswer: 316*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 4, 8 in increasing order.\nAnswer: -7, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 9. Give y(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + p. Let w(m) = -9*m**2 - 3*m + 66. What is 5*a(g) + w(g)?\nAnswer: g**2 + 2*g + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -418 and -3249.\nAnswer: -3667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -864.91 - -865. What is the smallest value in -0.1, d, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3015 divided by 1005.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*w + 36 = 0, 4*x - 3*w = 2*w + 144. Suppose p = -p + x. What is the lowest common multiple of 20 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540184*f**2 + 414*f**3 + 540626*f**2 + 2*f**5 - 2352*f + 2*f**4 + 52*f**4 + 1440 = 0. Calculate f.\nAnswer: -12, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -3, -0.0515?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1944140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 1620 + 2846. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**2 - 1268*k + 546.\nAnswer: -2*(k + 91)*(7*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + g = 17*v - 126, -512 = 4*v + 2*g. Let n be 26\/v + 3\/10. Which is the closest to -5? (a) 4 (b) n (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 - c + 1. Calculate v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596*t**3 - 313*t + 314*t - 607*t**3.\nAnswer: -1203*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2. Let h(c) = -98630*c. What is g(h(p))?\nAnswer: -9727876900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1654*q + 191878. Give n(-116).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1051953398 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071372 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, x: 2, w: 1}. What is prob of picking 1 w, 1 d, and 2 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z. Let s(b) = 121*b**2 - 2*b. Determine s(m(g)).\nAnswer: 12100*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -309984*m. Let f(b) = 98*b. Determine f(k(z)).\nAnswer: -30378432*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -95. Let h be (41\/c)\/(232\/(-384)). Let g = h + -36\/29. Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1146, -4, 3, -826 in increasing order.\nAnswer: -826, -4, -2, 3, 4, 1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168*d**2*p*y + d*p*y + 3*p*y + 5*y - 26 wrt d.\nAnswer: 336*d*p*y + p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:07 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 1. Let r = -5 + 13. Let i(o) = 10*o - 18*o - o**2 + r*o. Let v be ((-36)\/30)\/(10\/(-25)). Determine v*b(j) + 7*i(j).\nAnswer: 2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -11.94. Let a = x - -0.059872. What is a rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 + 59 + -160 - (-1 + -4 - (1 - -1))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.747766588 to 3 decimal places.\nAnswer: -0.748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 0 + sqrt(612))*6.\nAnswer: -180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -31004 in increasing order.\nAnswer: -31004, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 22172197 + 22172611 = 0 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48009792.\nAnswer: 2, 3, 250051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.38 and -37809.\nAnswer: 14367.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)\/((i\/((i*i**9)\/i)*i)\/i))\/((i\/(i**(4\/5)*i*i))\/i*i**7))\/((i\/i**(-2))\/i**3*((i\/i**0*i*i)\/i)**(-25\/3)) assuming i is positive.\nAnswer: i**(629\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4309989 or -4309992?\nAnswer: -4309989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -2629425.\nAnswer: -12\/876475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 226806.3 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*p = 8, w + 2*p + 3 + 0 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 less than 5206\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 + 42*o - 7. Let s be w(-9). Suppose s*n = -4 + 124. Solve n - 2 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 38 = 32*t. Let o be 2 - (t - -1)*(981 - 12). Round o to the nearest 10.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27818, 111272, 250360, 445082, 695438, 1001428, 1363052?\n\"Answer: 27817*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071566035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 divided by -6.\nAnswer: 191\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -1000?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.137 - -0.271. Let a = 2.4756 + 0.2504. Let v = c + a. What is v rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7656145 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -0.2 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.2 + 1.7. Let z = 14 - o. Which is the closest to -0.1? (a) z (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -0.5, 249, 0, 0.4 in increasing order.\nAnswer: -0.5, 0, 0.4, 2, 4, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = z - r, 5*z + r = 16. Suppose 0*v + 3*n + 1 = v, -2*v - z*n = -20. Find the common denominator of -47\/10 and -3 + (13\/v - -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6527\/20 - -327. Let r = 77199\/2 - 38558. Calculate the common denominator of r and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498638 is divided by 33239?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i, 24 = 5*d - 2*i + 4. Let y = 15 - 15.14. Let v = y - 0.06. Put v, -3, d in descending order.\nAnswer: d, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -100*b - 1000. Let l be t(-10). Solve -q + 2 = -l*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + (2 - -4 - 5). Suppose y + 3*a - 9 = 2*a, 6 = 2*a. Calculate the highest common divisor of f and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14 = 7. Let x(z) = 3*z**2 - 4*z**2 + 3*z**2 - f*z**2. Let j(v) = -3*v**2. Give j(x(u)).\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156504.\nAnswer: 2, 3, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*k + 37 = -5*n, 7*k = 15*n - 5*n + 71 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let l(t) = -4*t - 1. Let x(w) = w. Let j(o) = -l(o) - 3*x(o). Let h(v) = -v - 4. Suppose -3*r = 2*r + 10. Calculate r*j(b) + y*h(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.1 - 18. Let q = k + -0.1. Let t = q - -1.2. What is the third biggest value in -1, t, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 7870449\nAnswer: -39352245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8067903409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-3))\/(-4) - (8 + (-4878)\/(-81)). Is n smaller than -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -323977 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/15 + 2\/(-5). Let t = -2 - 2. Let q be t\/a*-3 + 6. Solve -2*c + 5 = 3*w - 3*c, -q = w + 2*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + -0.004. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k + 15. What is the units digit of m(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2364)\/(-74466))\/((5\/28)\/(2\/8)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19840\/9300)\/(9 - (-49)\/(-5))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -7. What is the units digit of 106\/b + (-6)\/(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 - 6390624 + 6390624.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c + b?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v + 6*v. Let w(r) be the first derivative of r**v - 2 + r**2 - r**2 + r. What is the first derivative of w(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 2*a + 12, 3*z = -a + 8. Let c(h) = 5*h - 6*h - z + h**3 + 10*h**2 - 13*h**2. Give c(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 10*p - 2. Let x be y(0). Let s be (-160)\/20*(-2)\/(-8)*x. Solve s*t = t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -54004 (b) -2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1)*-5 + sqrt(13) + 1*(sqrt(13) - sqrt(117)).\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + ((6*(sqrt(931) + -1) + 4)*5)**2 + 3).\nAnswer: -5028036 + 25200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 2. Let w be k(1). What is the first derivative of 4 - w + 2 + 0 + 5*m wrt m?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3516276 is divided by 531.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqrv when four letters picked without replacement from uvrsevqe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 124?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 8*g - 21. Let h be l(-9). Let k be h\/(-2)*(-1)\/3 + 7. Solve 2*x + x = 0, -k*x - 12 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 226*o + 4177. What is h(-16)?\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 4.5889.\nAnswer: 9.1778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 28*h**2 - 58*h - 73. Let y be v(11). Let r(s) = -3*s + 19. Give r(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-31)\/62)\/(1\/(-10)). Solve -5 = k*w - 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 10*r - 2*r**2 + 0*r**2)*(-2*r + 6*r - 2*r).\nAnswer: -4*r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/15 + 28*n**3\/5 - 1034*n**2\/15 + 1064*n\/5 - 2888\/15 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, q: 2, w: 1, i: 1, g: 1}. What is prob of picking 1 i and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -589a7 + -4869?\nAnswer: -62765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 4*s + 3. Let z be h(4). What is the tens digit of z + -4 + 5 - -32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, z: 2, j: 1, b: 1, i: 6, k: 2}. Give prob of sequence iiz.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 33. Let h be j(0). Suppose -4*v + 4*n = -12, -3*v + n + h = 6*n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 2*m + 1. Let o(k) = k**3 - 10*k**2 + 18*k + 22. Let y be o(7). Let t(s) = 3*s**2 - 11*s - 6. Let p(g) = y*t(g) + 4*b(g). Give p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210.4404 + -0.4596. Let i = 563 - 342. Let f = y + i. What is f rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**2 - 11*u - 16. Let q be m(3). Suppose g + q*z = -4*g + 10, -2*g - 3*z = -2. Which is the fourth smallest value? (a) -0.6 (b) 5\/2 (c) 3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 8*j. Let i(h) = -h**2 - 5*h. Suppose 4*a - 444 = -4*k, -2*a + 62 = -k + 188. Let n = k + -199. Let w = -91 - n. Calculate w*i(m) + 5*b(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6559 and -37\/329?\nAnswer: 308273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -32.62. Let l = k + 0.4. Let n = l + -0.0200104. What is n rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 4*a + 2. Let m(g) = g**3 + g**2 + 2. Let h be m(0). Let z(n) = 2*n**2 - 3*n + 1. Determine h*b(s) - 3*z(s).\nAnswer: -2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 225*b + 2512. Determine t(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*m = 147*m + 20*m - 606 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1085977 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)*u)\/u)**(-28) assuming u is positive.\nAnswer: u**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 108\/(-27) + (-7)\/((-280)\/(-18)) and (6\/4)\/((-72)\/(-86)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -374, -833, -1462, -2255, -3206, -4309, -5558?\nAnswer: -6947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28343.28 + 28355. Is -4 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -76 and -21.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329843.\nAnswer: 23, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 362*y - 320*y - 420 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 24*s + 20*s + 0 - 45*s + 4. Let g be n(3). Sort g, 4, 0, 5.\nAnswer: 0, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3 - 6698*i**2 + 691948*i + 5965280 = 0?\nAnswer: -8, 115, 3242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/59 (b) 5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 17. Suppose p = 4*q + q - 3*c, 2*q - 4*c - 4 = 0. What is the third derivative of -3*b**q - 7*b**5 - 2*b**5 + 10*b**5 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149d27 (base 14) to base 11.\nAnswer: 451025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.5, -1\/64, -4?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4101680 and 6972856?\nAnswer: 69728560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 393 - 393. Which is the fourth biggest value? (a) -3.5 (b) 5 (c) m (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*n + 40 = -n, 4*n = -4*f - 24. Let i = 10 - f. Suppose -3*t = -4*c - 0*c + 24, 0 = -3*c + 3*t + i. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -409 by -1.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-14) - (5 + 195\/(-35)). Solve -4*c + 2*b - 8 = -2*b, -2*b + 10 = a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/805 and -117\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a**2 + 6*a - 13. Let o be u(-4). Suppose 0 = 132*g - o*g + 1890. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -755*i*q**3 - 1326*i*q**2 - 3*i*q - 7*i + 81765*q**4 - q**2 + 6*q + 2 wrt q?\nAnswer: -4530*i + 1962360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*90\/(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-21) - (-5)\/((-5)\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-2 - -2) - 0. Let b = 11 - s. Suppose 0 = -2*o - o + 3*d - 15, 5*o = -4*d + 20. Solve o*g + g + b = 0, -5*g - 5 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7673, 30682, 69027, 122708, 191725?\nAnswer: 276078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 + -195.8. What is the closest to -1 in l, 3, -10, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-2\/9)*c)**(3\/7)\/((c\/(((c**(3\/7)\/c)\/c)\/c))\/c**(-4)) assuming c is positive.\nAnswer: c**(-130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (10 + (-26 - -19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37653*l**2 - 37736*l**2 + 75248*l**2.\nAnswer: -141*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*z - 376*z**2 - 201*z + 102*z in the form l*z + j*z**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1060)\/(-14310) - (-25)\/27. Suppose -4*s - 1 = -g - 10, -2*s - 2*g + 2 = 0. Let t be 4 - 2\/((-2)\/s). Solve u + t = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69*x**2 - 51*x**2 + 40*x**2)*(-2*x**2 + 4 - 4 + 2) as l*x**3 + u*x + j + d*x**2 + b*x**4 and give b.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4\/(-84)*-7 + 23\/3 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(9\/5)\/s))\/s)\/s**(-11) assuming s is positive.\nAnswer: s**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231030 - -110011?\nAnswer: -1121013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:46 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwiq when four letters picked without replacement from qqppiwqqpqii.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04077 and -16?\nAnswer: 0.65232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81, -204, -1257, -3462, -7203, -12864, -20829, -31482?\n\"Answer: -64*v**3 + 163*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3*(-58 + (0 - (-5)\/(-5))) and 6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1001*x**3 - 3*x**2 + 3*x. Let i be l(1). Let r = i + -813. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 26\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4579, -4584, -4601, -4636, -4695, -4784, -4909?\n\"Answer: -j**3 + 2*j - 4580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6336293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 0, -5*i = -a - 4*i - 2. Let w be a\/(6\/(-3)) + 2. Sort w, 0, -1 in decreasing order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -15*w - 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 5, a: 4}. Give prob of picking 4 j.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 3*i**2 + 0*i**2 + (4*i - 5*i + 3*i)*(13 - 13 - 2*i))*(i - 13*i + 2 - 4*i).\nAnswer: 32*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 0, -4*f - 5*z + 15 = f. Suppose 3*g = f*n + 259, -3*n + 392 + 65 = 5*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8d5e (base 16) to base 10\nAnswer: -36190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/2*(-36)\/5. Let c = g - -58. List the prime factors of c\/12*4*48*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 70 = 5*o, 35*o - 20 = 39*o. Is -53 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*c**2 + 0*c - 2*c + 3*c**4 + 2*c to u*c**3 + w*c**4 + r*c + l + t*c**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-880)\/(-50)))\/((-105)\/252)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/9697?\nAnswer: 6\/9697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-4) + (-4)\/(-2). What is the third derivative of -4*s**2 + k*s**2 - 3*s**5 + 2*s**2 wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824 = -7*t - 866 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-23)\/(-207))\/(24\/81).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -482*g**2 + 2*g - 2. Let x(h) = 3*h + 6. Calculate x(p(d)).\nAnswer: -1446*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 133*o**3 + o**2. Let u be t(1). Let n = -79 + u. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -798, -793?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-336)\/(-40) + -8)*43575\/(-210)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 140*b + 1192. List the prime factors of v(25).\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -37, -99, -197, -337, -525, -767, -1069?\n\"Answer: -w**3 - 9*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12 - 5*w**2 + 33 - 3 - 12 - 158*w**3 + 41*w - 12. Let o(f) = f**2 - 2*f + 1. Let a(i) = 6*o(i) + y(i). Find the third derivative of a(h) wrt h.\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 212?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -83727.0135 to 0 decimal places.\nAnswer: -83727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let n(j) = -4*j**2 + 5*j**2 + 4*j**2 + 6*j + w - 4*j**2. Let c be n(-6). Solve x + c*b + 7 = -4*x, -2*b + 8 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 4. Let v be u(5). Suppose 0 = 4*z - v - 3. Suppose -2*a + 1 = -z. Put -1, -6, a in descending order.\nAnswer: a, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 178*v + 46*v + 39*v)*(-v + 2*v + 0*v).\nAnswer: -93*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (20 + -1 - (9 - 0)) - 6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 12. Suppose -n*k + 3 = -6*k. Does 7 divide (k - 4)*(-87)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, 1.2, 0, -0.2482, 0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1060 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -6\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q**2 + 15*q + 7. Let w(y) be the third derivative of 7*y**5\/60 - 5*y**4\/12 - 5*y**3\/6 - 3*y**2 - 35. Give 5*m(v) + 7*w(v).\nAnswer: -v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5085 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.460002 - -0.46. Round x to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:29 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5829029 < 40803204\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3.44 * 0.211\nAnswer: 0.72584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 113*l - 135. Let t(h) = -115*h + 157. Give -6*t(p) - 7*x(p).\nAnswer: -101*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 964, -3, 3, -8 in descending order.\nAnswer: 964, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**4\/24 - 2*s**3\/3 + 3*s**2. Let c be p(-4). Suppose c*l = l - 6. What is the remainder when 10 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4*136\/(-2). Calculate the highest common factor of p and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24167.25 plus 14360.409?\nAnswer: 38527.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 640119 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47392380 a multiple of 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 + -120. Suppose 609 = 7*d + 91. Let a be 14\/r - d\/(-26). Solve -b + a = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by -18528.\nAnswer: -59\/4632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004299 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*o - 106 = 68, 5*o = -q + 159. Suppose -3*y = -l + 177, 0 = l - 4*y + 10 - q. List the prime factors of l.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724*b*y**3 - 3*b*y**2 - 293*b*y - 940*b + y**3 - 971*y**2 - 3*y - 1 wrt y?\nAnswer: -4344*b*y - 6*b + 6*y - 1942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11.5 (b) 4 (c) 7\/2 (d) 24 (e) -0.07 (f) 9 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (10 + -11 - 3). Let m(v) be the second derivative of 0 + h*v + 1\/2*v**3 - v**2 + 1\/6*v**4. Factor m(c).\nAnswer: (c + 2)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8247289 months to years.\nAnswer: 0.235394075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omm when three letters picked without replacement from {o: 7, y: 7, m: 2}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*40\/312*18\/50.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, 2\/37 in descending order.\nAnswer: 2\/37, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j*l**2 - 1821931*j*l + 2*j - 6618203*l**2 wrt j.\nAnswer: -3*l**2 - 1821931*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2 + 26*b = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 17ce?\nAnswer: 17d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-378) + 632\/21. Let w(b) = -b**3 + 6*b**2 + 2*b - 2. Let i be w(6). What is the highest common factor of i and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 366\/(-610) + 1*3. Factor 12\/5*s + x + 3\/5*s**2.\nAnswer: 3*(s + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.403187048 less than 8?\nAnswer: 7.596812952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 103*s - 137. What is q(3)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose t = -5*p + 214 - 54. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = -4*b, -2*b + b = -4*j + 10. Let n be 3 + (3\/3)\/2*j. Suppose 5*y = 23 - 3. Solve s = 3*x - n, 2*s - y*s - 3*x = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297 - 293. Which is the smallest value? (a) i (b) -1\/6 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -8107, 11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/440)\/((-27)\/(-99)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 x when four letters picked without replacement from xxxxxxxxxpxxpxxxxxxx?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmqqqqmmqqmtqqmm. Give prob of picking 2 m.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**3 + 6*g**2 - 4*g - 16. Determine y(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t - 4*t)*(4*t - 1 + 1)*(0*t**2 - 2*t**2 + 0*t**2).\nAnswer: 40*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -44, 4, 0, 5, 653 in descending order.\nAnswer: 653, 5, 4, 3, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 5*u**2 - u - 2. Let d be w(-5). Find a, given that -5*a - 21*a**2 + 4*a - 2*a + 6 + 15*a**2 + 3*a**d = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.946 to the nearest integer.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*b*q**3*t*u - b*q**3 - 2*b*q*t**3 - b*t**2 - 26898*q**3*t**3*u - q**3*t*u - 5*q**2*t*u + 3*q*t**3 - 3*q*t**2*u wrt t?\nAnswer: -12*b*q - 161388*q**3*u + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**9\/60480 + y**8\/6720 + y**7\/1680 + y**6\/720 - y**5\/20 + y**2. Let g(f) be the third derivative of a(f). What is g(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75\/2*i + 33\/2*i**4 + 3*i**2 + 39*i**3 - 3\/2*i**5 - 39\/2 = 0. What is i?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -35, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**16)**(-12))**(9\/2))**(-37) assuming b is positive.\nAnswer: b**31968","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4374 + 17a4?\nAnswer: 5b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339 and 58647.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-20))\/(-28)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c68c9 + -81?\nAnswer: 2c6848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9288?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/58 and -67\/2556?\nAnswer: 74124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 182 + 91. Find the second derivative of -72*w - b*w - 46*w**5 - 4*w wrt w.\nAnswer: -920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from oolf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.82 + -2.8. What is the nearest to -1\/2 in -3\/2, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 5. Let b be l(7). Suppose -3*t - 5*z = -64, -5*t + 4*z + 36 = -b. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - w + 2 - 1 = 0, 4*p + 3*w = 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*z**3 - 168258*j**2*z + 2*j*z - 5447241*z**5 + 2*z wrt z.\nAnswer: -6*j**2*z - 108944820*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 266\/570 - 8\/60.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2198, 4394, 6590?\n\"Answer: 2196*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 5. Let o = 6 + b. Let c = -1.55 - 3.45. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.014 + 0.016. Is 200 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2081, -2122, -2153, -2168, -2161, -2126?\n\"Answer: r**3 - r**2 - 45*r - 2036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.62583364 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 4. Let o be b(-4). Let p(m) = -2*m**3 + 0*m**2 - 6*m + 33*m - 5 - 13*m - 11*m - 4*m**2. Does 11 divide p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**4 + g**3\/3 + 12*g**2 - 2*g + 38. What is the second derivative of w(k) wrt k?\nAnswer: 48*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/819*-27 + (-2076672)\/(-42)?\nAnswer: 5, 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307300 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/((-11)\/((-396)\/9)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3754801 and 447804.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10857433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 390*x**2 - 4*x - 51*x**2 + 22*x**2 + 4*x + 14 to d*x**2 + l + y*x and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cd - -1c5b?\nAnswer: 204a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -658400, -658260, -658120, -657980, -657840, -657700?\n\"Answer: 140*h - 658540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1573) - (0 + sqrt(1573) - sqrt(1573))) - (0 + (sqrt(1573) + -3 - sqrt(1573))))**2.\nAnswer: -396*sqrt(13) + 56637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.7 - -4. Let a be 2\/(-5)*(-15)\/(-9). What is the second smallest value in a, 3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2971c (base 13) to base 10.\nAnswer: -78103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, 3, -266, 292?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.005 - -0.037.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -95, 9 in descending order.\nAnswer: 48, 9, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 481\/2277 >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 5*x. Suppose x = w - 3*d - 2 + 8, 0 = -5*w + 3*d + 30. Suppose 400 = -c + w*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 79 = -16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 + 13?\nAnswer: 12.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 1. Let i be m(-2). Let o = i + 7. Let d be 1025*120 + o + 2. Round d to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8976465, -17952946, -26929425, -35905902?\nAnswer: -44882377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3572, -9180, -16822, -26498?\n\"Answer: -1017*t**2 - 2557*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*3*sqrt(128) - (sqrt(128) + (sqrt(128) - (sqrt(128) + 0)**2))*1)*3.\nAnswer: -480*sqrt(2) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029459221 to seven decimal places.\nAnswer: 0.0002946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910351 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 - 856\/7*n - 216\/7 - 346\/7*n**2 = 0. Calculate n.\nAnswer: -2, -2\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11269592*g**3 - 18100120*g**2 wrt g.\nAnswer: -67617552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 28, 38, 38, 22, -16?\n\"Answer: -h**3 + 4*h**2 + 9*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrzhbyhyhrhh. What is prob of sequence zrh?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14245981 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5495 divided by 104.\nAnswer: 5495\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/3 + 10912*n**2\/3 - 248860*n\/3.\nAnswer: -4*n*(n - 2705)*(n - 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:23 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 7:08 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 9*r + 290. Let n = r + 58. Is -4\/41 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 1754.\nAnswer: 19294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 84.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1311 by 38783.\nAnswer: -1311\/38783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - (1 - (-404)\/260). Let c be 2\/(-12) - (-10)\/(60\/247). Let x = c + -42. Is x <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1379, -5535, -12463, -22163, -34635?\nAnswer: -49879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199592 is divided by 19665?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 159844\/10*910\/364 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 20981 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897114 a multiple of 767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54695 or -54670?\nAnswer: -54670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1. Suppose -23*b = -20*b + 3. Let y(m) = 7*m + 19. Let k(w) = b*y(w) - 5*l(w). Let j be k(-5). Which is smaller: 19 or j?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 41. Let l(h) = h**2 + 8*h + 5. What is l(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let f = 557 + -982. Let a = f - -421. What is the nearest to y in 1, a, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004034 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.59? (a) -3 (b) 2\/3 (c) -23\/5 (d) 0.4 (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 95, 208, 355, 548, 799, 1120, 1523?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300235 (base 6) in base 7?\nAnswer: 125201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*m + a + 2, 0 = -3*m - 4*a - 16. Suppose -4*f + 2*i = -14, 2*f + m*f + 3*i = 19. Solve -s + 0*s - 2*o + 2 = 0, -o = f*s - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 - 960452?\nAnswer: -960351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 7:52 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 5*a - 616. What is l(16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1444.8 to the nearest ten.\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1106 and 7931.\nAnswer: 6825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*a + 1108*a - 213*a = 56298 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -24*f**2 - 32*f + 100. Let k(i) = -5*i**2 - 7*i + 20. Let z(y) = 14*k(y) - 3*s(y). Give z(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273 - -3005\/11. Let n = 2\/15921 - -1491263\/31842. Let k = -47 + n. Put b, -5, k in descending order.\nAnswer: b, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 - 0)\/(-4))\/1. Find the common denominator of j + -1 - (-365)\/70 and 1 + -2 - (-20)\/(-64).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96982650439 - 6.3?\nAnswer: -5.33017349561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 59466*j + 1190120.\nAnswer: -2*(j - 20)*(j + 29753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.5 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-54)\/(-18 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -11, -2, 9281, 5, 3 in descending order.\nAnswer: 9281, 5, 3, 0, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*z + 1113 + 1334 + 1739 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30526572 divided by 7631643?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -2)*(-3)\/(-6). Suppose -2*p - q = -3. Let t be (-6)\/(-8) + 36\/(-48) - -4. Solve 2*c - r + 4*r - p = 0, r = t*c - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l + 163. Let n(m) = -38*m - 649. Let b(c) = -2*n(c) - 9*w(c). Give b(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 4*m - 2*m + (-14*m - 4*m + 3*m)*(-96 - 76 + 189) in the form c + g*m and give g.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 14, l: 1, y: 2}?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let c be (-10)\/(-14) + (-2)\/(-7). Solve -c = -t + n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/3)*y**(-7)*(y*((y\/(y\/y**(-2\/5)))\/y)\/y)\/y**(1\/2)*(((y**5\/y*y)\/y)\/(y\/(y*y**(-9)*y)))\/(y**(1\/7)*y*y**(-2\/9)) assuming y is positive.\nAnswer: y**(-8287\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*h + 700, 50*h + 390 = 3*f + 53*h. What is the greatest common divisor of f and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -3*p**2\/2 + 2*p - 1. Suppose 0 = 39*t - 34*t - 15. What is f(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1)\/b*b)**(25\/4)\/(b\/b**18*b**(13\/4)) assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 1. Let b = 1332 + -1338. Let c(y) = -12*y - 5. Let g(l) = l. Let t(u) = c(u) + 5*g(u). What is b*h(o) - t(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9304822987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -h. Let l(a) = 10*a - 3 + 6 + h*a**2 - 2 + a**3 - 8*a**2. Is l(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482\/8 + (-6)\/24 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 5*k - 5*t, -68 = -4*k + 5*t + 67. Let d = 0.118 + -0.118. Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (9 + -9 + 1 + 5)) + 8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + -1 + 385\/(-20) and (-102)\/16 + 18\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7046*a - 14653*a + 7613*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11924280763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*r + 22 - 22 = 0. Let i(h) be the third derivative of 507\/70*h**5 - 2197\/280*h**6 + r*h - 39\/14*h**4 - 7*h**2 + 0 + 4\/7*h**3. Factor i(f).\nAnswer: -3*(13*f - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156.86 + -157.21. Which is bigger: l or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -10 (b) -1 (c) -0.2 (d) -90\/4843\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3132 and 423981?\nAnswer: 49181796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -5*s. Let r = 20 - s. Is 14 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + b503?\nAnswer: b4fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 15*t**2 - 2*t + 18. Determine d(-14).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36086199 is divided by 177?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) 3 (c) 2\/7 (d) -3\/2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1052404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j - 1. Suppose 0 = -j*t + t + 2*m - 2, -4*m = 4*t - 12. Let a be 3 + (-144)\/39 + t. Is -1 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0253862856 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 20*p + 164 = 149*p - 2644 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b4 (base 13) in base 11?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 45. Suppose 2*i + 10 - w = -f, -i + 19 = -f. Suppose 7*z - 60 = 4*z. What is the greatest common factor of z and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8661796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 5:11 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yciiyngynji. What is prob of sequence ycn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*2)*6 - sqrt(91) - 3*(sqrt(91) + 4*sqrt(91) + sqrt(91)))\/(5*sqrt(84)\/(sqrt(12) + 1*(sqrt(12) + sqrt(300)))).\nAnswer: -35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-1383)\/(-242025)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.388 (b) 3574 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.83617 milligrams in nanograms?\nAnswer: 64836170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(4)*1) - (2 + sqrt(1216)))*4)**2.\nAnswer: 448*sqrt(19) + 14960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d + 10. Let m(x) be the second derivative of -x**2 + 0 - x - 1\/3*x**3. What is 2*f(g) + 11*m(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3*(-20)\/(-18)))\/((-54)\/(-145800)*36)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093419240?\nAnswer: 2, 3, 5, 9111827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*((sqrt(176) + sqrt(176) + (sqrt(176) - (1 + sqrt(176)) - sqrt(176)) + -4 + sqrt(176) + sqrt(176) + 0)**2 + -2).\nAnswer: -600*sqrt(11) + 8035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.078 + 34.078. Let j = -34.8 + k. Let b = -2.2 + j. Put b, 1, 0.1 in increasing order.\nAnswer: b, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46953.67+-45423613\nAnswer: -45470566.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 6. Determine d(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-50)\/(-6))*74400\/(-2480)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1\/70*l**7 - 2\/3*l**3 + 1\/30*l**5 + 0*l - 1\/120*l**6 + 0*l**4 - 20*l**2 + 0. What is the third derivative of r(k) wrt k?\nAnswer: 72*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-111)\/(-513) + 45\/162*-2*22\/110. Determine b, given that 6\/19*b + 4\/19 + o*b**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -4*j + 40, -478*v + j = -236*v - 237*v + 50 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193706891 to the power of 1\/3, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9104511 months in centuries?\nAnswer: 0.00075870925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 273034656*k + 6212326948086528.\nAnswer: 3*(k - 45505776)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(-20 + 20 - 10*i**2) + 4*i**2 - 2*i**2 + 0*i**2)*((-5 + 4 - 1)*(-3*i**3 + 2*i**3 + 2*i**3) + 12*i**2 + 9*i**3 - 12*i**2).\nAnswer: -126*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505707427 + 505707427 + 12*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.72 + -176.72. Let p = n + 172.9. Which is the smallest value? (a) -1 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-180\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)*0\/(-2). What is the closest to 4 in -2\/7, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 4*b - 3639. What is the thousands digit of x(136)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -19. Let a = t + 52. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, 0, 0.21, 21, 5350?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 48 = v, -v + 173 = v + o. Calculate the remainder when 2570 is divided by v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28857995*l**3 - 2*l**2 - 178827634*l wrt l?\nAnswer: -173147970*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(343)*2 + sqrt(343)*-2 + -5 + 0)**2.\nAnswer: 504*sqrt(7) + 12384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12150824?\nAnswer: 2, 7, 139, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 24 = o. Suppose 4*y + 50 = 5*t + o, -12 = -4*t - 4*y. Let c be (-4)\/t*1\/2. What is the smallest value in c, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - (-12 + 23)) + (-1 - (-1 + -747)). What is the greatest common divisor of 5301 and s?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 22*t + 10. Suppose 16*s = 11*s - 80. What is the hundreds digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 32 = 197. Let a = -475 - -510. Let z = a + y. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 21 + (-5 - -2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from iiyciydyzdziczw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 14*v - 57. Solve 40 = v*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) - (-380716)\/(-40). Let q = s + 6376243\/670. What is the common denominator of (-29 + 33031\/1160)\/((-42)\/(-175)) and q?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 2*n**2 + 2*n + 3. Let v be g(-2). Does 15 divide (-123)\/(-6) - v\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p. Let m(g) = -4*g - 4*g - 4*g + 11*g. Determine -6*m(j) + 2*q(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2 + l + l + 2 - 6*l. Let w be 6 + 1*(-2 - 0). Let y(d) = -2*d**2 + 0*d**2 + w*d**2. What is s(y(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87662425\/316 + -277413. Find the common denominator of j and 21\/8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + d + 177, 2*d + 174 = -i + 2*i. Suppose 0 = 2*x - 6*x - i. Let v = x + 65. Solve -2*b + v = -6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i. Let t(o) = -31*o**2 + 1. Determine t(k(w)).\nAnswer: -124*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/4308 and -69\/20.\nAnswer: 21540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 1.7. Let a = -0.12 - t. Let d = 11 - 7. Sort d, a, -2\/7 in decreasing order.\nAnswer: d, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-165)\/(-5))*18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/(1\/3). Let j = t + 3. Suppose 0 = 4*n + 5*x - 92, 62 = 2*n + n + j*x. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 17, 11, 5, -1?\n\"Answer: -6*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -492885 - -492884.599981. Let b = 0.4 + p. What is b rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (-15 + 21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 + 6 + -18 + 15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29\/17 + (-1)\/1. Let p = -31\/68 + x. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189 - 273. Let m = d + 90. Calculate the remainder when 11 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -174\/7. Let n = -1 - 0. Let y = n - 0. Which is the smallest value? (a) j (b) y (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**2\/13 + 326812*z - 1416186\/13 = 0. Calculate z.\nAnswer: -708093, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + (4 - (-41 + 16)) + (-6 - -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2807.1631 + 2807. Let o = p - -0.16309323. Round o to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001100211 + -10?\nAnswer: 12001100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(-336)\/(-189).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -0.089625?\nAnswer: 0.189625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91279082*x - 99093622 wrt x?\nAnswer: 91279082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -19, 1 in increasing order.\nAnswer: -19, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*h - 16. Let t = 4 + h. Suppose 0 = -t*b + 25 + 2. Calculate the least common multiple of b and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**8\/210 + 2*q**7\/525 - 8*q**2. Factor g(s).\nAnswer: -4*s**4*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -261.91526 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 5*l + 0*l + (5 - 4 - 3)*(-3 + 2*l + 3) - 18 - 4 - 5*l + 3*l.\nAnswer: -4*l - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1417 = -4483. Let k = -659 - j. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 6*x + 2*x + (-51*x - 2 + 4 - 1)*(6 - 2 - 3)*(4 + 12 + 5).\nAnswer: -1073*x + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 4. Suppose 2 = j - 3*g, 0 = 3*j - 3*g + 2*g - 14. Let y(h) = h - 54 + 106 - 50. Determine j*y(k) + 3*n(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2 - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22361, 44722, 67085, 89450?\nAnswer: 111817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7 - 14*l**2 + 65*l**3 - 36*l**3 + 5*l**2 + 9*l - 30*l**3. Let j be z(-10). Solve -14*r + j*r - 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1419095 and 542505.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*sqrt(187)*-3)\/(sqrt(77)\/(sqrt(175)*6 - sqrt(175) - sqrt(175) - sqrt(175))).\nAnswer: 900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (0 - 0)) + 13. Let d be (-3)\/(3\/(-2) - 0). Factor -9*z**d + 4*z**2 - 7*z**2 - p*z**2 - 20*z.\nAnswer: -5*z*(5*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1, 3228\/61?\nAnswer: 3228\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 56. Let s be n(-13). Calculate the remainder when 70 is divided by ((-1)\/((-6)\/s))\/(4\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 36 = 4*y. Find the second derivative of -5*v**5 + v**5 - 8*v**5 - y*v wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 0 - 391*z.\nAnswer: -391*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2272 and 49\/18.\nAnswer: 20448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120222122212 (base 3) in base 5?\nAnswer: 40032211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 50 = 2*b. Suppose -5*a - 3*o = 5, 3*o + 26 = 3*a + 5. Let w be (a + 1 + -2)\/((-13)\/(-39)). Solve -w*c + 6*c = 5*m - 2, -3*c - b = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -3*u, -3*u + p + p = 10. Suppose 3*c - 4*c + 4 = u. Suppose -3*t = -3*d - 22 + c, t = -4*d - 4. Which is bigger: d or -5\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/11250 and -53\/1251.\nAnswer: 1563750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1527702, 1527699, 1527696, 1527693?\n\"Answer: -3*z + 1527705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 8. Let o = n + -7. What is the tens digit of (-3 - -54)\/3*o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2085909, 2085914, 2085919, 2085924, 2085929?\nAnswer: 2085934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*h + 20. Suppose 318 = -4*a + g, -177 = h*a + 2*g - 23. Let z = a - -137. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -15*p + 4. Sort p, -5, -13, 4 in decreasing order.\nAnswer: 4, p, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-30)*(5525\/(-20))\/(-17).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 3818 = 2*d, 0 = d + 5*a - 1913. Suppose 3*w = -2*j + 958, 4*j + 0*j + 4*w = d. Suppose j = 4*f - 179. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 93 = -579. Which is smaller: 260\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 53. Suppose l*a = -2*t + 22, 4*t + a = 43 - 14. Solve 2*j = -j + t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + k. Let c = -89 + 93. Let q be ((-24)\/21)\/c + 25\/(-35). Calculate r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4749359069 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v + 3408 = -64*v. Let u = -843 + v. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23362, -3, 9120 in decreasing order.\nAnswer: 9120, -3, -23362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1509, 3, -19, -499 in decreasing order.\nAnswer: 3, -19, -499, -1509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 1.1. Let p = 8 + -8.8. Let f = -0.7 - p. What is the closest to -2\/7 in s, f, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2484270 and -3029.\nAnswer: -2487299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 357*p. Let l(w) = -7*w**2 + 12. Let o(h) = 6*h**2 - 10. Let k(x) = -5*l(x) - 6*o(x). What is k(n(r))?\nAnswer: -127449*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2043)\/(-13620)*8*2)\/(1*4\/5). Let h = -3 - -3.5. Which is the fourth biggest value? (a) k (b) -4 (c) -3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124414056\/195 - (-33)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*c - 102 = -23, 40 = 3*y + 5*c. Suppose -5*i + 19 = -r, 3*i - 6*i - 3*r - 3 = 0. What is the highest common factor of i and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-9 - 0)*(-105)\/10. Let z = -63.2 + 63. Which is the closest to z? (a) 0.4 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/49040 and 11\/30?\nAnswer: 147120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 431797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, n: 6, w: 4, v: 1, t: 1, k: 3}. What is prob of picking 1 w, 1 k, and 1 i?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913742 is divided by 7678.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928119 to the power of 1\/2, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 52 - 29 + 1394*c + 7801*c - 1612*c.\nAnswer: 7583*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 39. Suppose -y*n + 5 = -4*n. Suppose 3*f = n*d + 5*f - 34, 0 = d + 2*f - 10. Solve d = -4*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 13) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 3*z + 3*z)*(258*z - 2*z**3 + 4*z**3 - 264*z) as u*z + n*z**4 + f*z**3 + q*z**2 + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-6)*-12 - 0 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2)*d*d)**(3\/7)*(d**(-2\/9))**(-19))\/((d**(4\/9)*(d\/d**(-3))\/d)\/(d\/((d**3\/d)\/d)*d*(d\/d**1)\/d)) assuming d is positive.\nAnswer: d**(233\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -7, -28 in descending order.\nAnswer: 1, -4, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 915969*x**3 - x + 3359763 wrt x.\nAnswer: 2747907*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(4 - (1 + 2)). Suppose 3 - g = 2*p. Differentiate -1 + p + 1 + u**2 - 6*u**2 wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-2\/19)*x**(2\/33) assuming x is positive.\nAnswer: x**(731\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -126500 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/9352 and -29\/11690?\nAnswer: 46760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(2 - 1)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31389 - 31389.085573. Round i to three dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17498\/78 + (-1)\/3. Suppose 0 = 13*x - 17*x + m. Let c = x + -31. What is the remainder when 98 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + 80 = y, -2*q + 3*y = -68. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c - 49. Let f be x(11). Let r = 350\/3 - f. Factor 0 - r*n**3 + 0*n**2 + 0*n**4 + 2\/3*n**5 + 0*n.\nAnswer: 2*n**3*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 11*w - 7. Let y be t(-10). Let g(m) = m - m - y*m. Let o(v) be the second derivative of -4*v**3\/3 - v - 31. Give o(g(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 47*h**3\/10 + 3853*h**2\/5 + 31570*h - 6724\/5 = 0. Calculate h.\nAnswer: -82, 2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let f = 898\/99 - 80\/9. What is the closest to -1 in 1, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k + 296*k - 4275 = 36*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/10)\/((-56)\/980). What is the greatest common factor of n and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 79*s. Let p(q) = 6*q. Let j(u) = 6*g(u) - 78*p(u). Let v(k) = 5*k**2. Give v(j(x)).\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - -4. Suppose 14 = 5*a - 71. Calculate the remainder when m is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 118 (b) 7 (c) 8 (d) -0.3 (e) 4 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 = -2*k. Let w(c) = 2*c. Let d(t) be the second derivative of -t**3\/6 - t**2\/2 + 6*t. Let o(y) = 3*d(y) + w(y). Determine o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16450, -32670, -76702, -162454, -303834, -514750, -809110, -1200822?\n\"Answer: -2318*p**3 + 2*p**2 - 14134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 69, -3, -1, 0 in decreasing order.\nAnswer: 69, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -223917*r**3*s + 14*r**2*s - 2*r**2 - 5*r*s - 618*r wrt r.\nAnswer: -1343502*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*z - 4*z. Let s = z - -7. Calculate the remainder when (-21)\/(-35) - 2\/(-5) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k - 3. Let m be x(-6). Let z = m + -31. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82748*h - 2 - 35083*h - 42361*h to x + r*h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)*u)\/u)**(-8) assuming u is positive.\nAnswer: u**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4996, -4894, -4792, -4690, -4588, -4486?\n\"Answer: 102*w - 5098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f - 119. Let n = 161 - 146. What is the remainder when f is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 at least as big as -744\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 8*k**2\/3 - 98*k\/3 + 20.\nAnswer: 2*(k - 3)*(k + 5)*(3*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 627 = -3*i - 2*m, 2*m - 2 = 0. Let q = -111 + i. Let v(o) = 9*o - 48. Is 11 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 7 = 0. Let t = n + 9. Suppose -5*o + t = -o. Solve j = o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -221*i. Let j(u) = -1278*u**2. Determine j(d(z)).\nAnswer: -62418798*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/151 (b) -0.2 (c) -1 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 1\/5 in decreasing order.\nAnswer: 1, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6084 by -16.\nAnswer: -1521\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + r - 146 = 0, -4*o - 20 = -r + 97. Is o bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -38, -65, -98, -137, -182, -233?\n\"Answer: -3*v**2 - 12*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2\/5*p**4 - 2\/5*p - 4\/5*p**3 - 5 - 4\/5*p**2 - 2\/25*p**5. Factor k(s).\nAnswer: -2*(s + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 - -0.02. Let x be 1 + -1*34\/(-2). Let m be (-23)\/18 - 4\/x. Which is the nearest to s? (a) m (b) 1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1373 = 3*i, 8*f - 3*i - 1120 = 4*f. What is the remainder when f is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17512*l - 4. Let y be m(-7). Let g be (-1 + -4)*y\/(-10). Let u = 91294 + g. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20112212200101 (base 3) to base 2.\nAnswer: -1101010001111101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*h - 11 - 9, -5*h - a = -20. Suppose -h*f = 14 - 78. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3504.2 times 0.5\nAnswer: 1752.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 179*t**3 - 40 - 362*t**3 - 5*t**2.\nAnswer: -183*t**3 - 5*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.75 + 0.15. Let m = 0.07 + 2.93. Which is the second biggest value? (a) m (b) z (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 3 - 9 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 4741827?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 78*c + 78. Let y be b(-38). Suppose -2*m - 2*d + y = 0, -2*m = -6*m + d + 9. Solve 4*g - 6 = m*t - 0*t, 10 = 4*t + 3*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452197 is divided by 21641.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.19, -4, 4 in descending order.\nAnswer: 4, -1.19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = -0*b. What is the smallest value in b, -3, 0, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + -18. Let w be (70\/21)\/((-2)\/h). Suppose 4*m + m = w. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**24)**(7\/5)*q**(3\/2)*q**(-20\/3)\/q)**42 assuming q is positive.\nAnswer: q**(-7763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -7, -24, -57, -112, -195?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.2, 1\/8, 0.0941?\nAnswer: 0.0941","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -113*g - 5. What is the hundreds digit of p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 - -160. Is (9 + j)\/21 + (-776)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -10*i**3 + 4716704*i**2 - 16036634*i - 20753348 = 0.\nAnswer: -1, 22\/5, 471667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21439703 and 2.\nAnswer: -21439701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20602667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 268444*12\nAnswer: 3221328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(-7\/5)*v)\/(v\/(v*v**10))*v**(3\/4)*v**(-7\/3) assuming v is positive.\nAnswer: v**(829\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15428173 divided by 2?\nAnswer: -15428173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32963, 32925, 32887, 32849?\n\"Answer: -38*m + 33001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2. Let d(b) = -8*b + 6. What is u(d(g))?\nAnswer: 384*g**2 - 576*g + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.011976ml?\nAnswer: 0.008011976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/28 and (-6)\/27 - (91\/6)\/(-7)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esssseesssisssss. What is prob of sequence iee?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*x**2 - 45*x**2 + 5*x**2)*(-3 - 6*x + 3*x + 2*x - 4*x**2) to the form c*x**3 + j + v*x**2 + g*x + l*x**4 and give v.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 7*q + 1. Let y be w(-6). Suppose -y*s = -9*s + 12. What is the greatest common divisor of s and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31314 by 15657.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143)*-2*6 + sqrt(143) + sqrt(143) + sqrt(143))\/(-3*sqrt(539) - sqrt(11)).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24857 < -1\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Does 17 divide 434\/10 + (-2)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4266 and 1106?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2 + 5) + -19. Let s be 3*-1 - i\/7. Do s and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669 at least -668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-3474)*-1)\/((-18)\/(-2556)) and -47\/10?\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:39 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111.79 - -113. Let g = -10.21 + m. Which is the second biggest value? (a) -4 (b) g (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**5 - 7*o**3*t + 2*o**2*t**2 + o*t**2 + 472*t**2 wrt o.\nAnswer: -40*o**3 - 42*o*t + 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(1008) + 1)*4 + 3*sqrt(1008) + 1)**2 - (-5 + (1*sqrt(1008) + 3 + -3)**2)).\nAnswer: 840*sqrt(7) + 48411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a. Let u(n) = -17*n**2 - 9*n - 9. Let k(i) = -4*i**2 - 2*i - 2. Let j(v) = -18*k(v) + 4*u(v). Give r(j(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 2. Suppose -a = -8 + i. Solve z = -m - 4, -z - 6*m = -m + a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -4*p**5\/5 - 4*p**4 + 8*p**3\/3 + 24*p**2 - 36*p + 8. Determine u, given that h(u) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiiki. What is prob of picking 3 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 1, s: 5}. What is prob of picking 2 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/1*3\/4. Is 10 a factor of (-6)\/2 - (-29 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*m + 2 - 5198*m**2 - 4994*m**2 + 184*m.\nAnswer: -10192*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5408919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1563 - 168 = -k, -409 = -b - 5*k. Is (b\/(-28))\/(11\/6 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -21343?\nAnswer: 21343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 6.1, 0.4, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhctlhhlhtmlllh. Give prob of sequence hhmt.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-220)\/(-14) - (656\/56 - 12)) + -4. Solve a + 0*u - 10 = -3*u, 5*a - 4*u - h = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 5*p + 90. Let w = -6 - -17. What is the remainder when p is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-4 + 14)\/2. Let z = 7 - x. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3524*m**3 + 19*m**2 - 187*m - 6169?\nAnswer: 21144*m + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00090655 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 + o**2\/2 - 4*o + 8. Let y be m(3). What is the greatest common factor of 128 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2849479 - -1.285. Round l to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3 - 3*n)*(-1 + 3 - 3) - 2*n + 0*n + 5*n.\nAnswer: 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 14 - 7. Sort -5, -4, -2, t in descending order.\nAnswer: t, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-93)\/(-1085)*(-10)\/27?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 12919640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c. Let o be x(0). Is o smaller than -7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0784215 + 2?\nAnswer: 2.0784215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -16. Suppose -3*a = -193*v + 192*v - 192, a - 80 = 3*v. What is the remainder when a is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 3. Let r = -2 - w. Let u be (-5075)\/8265 + (-1)\/19. What is the biggest value in -1, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -8*s + 0*s**2 + 0 + 13\/3*s**3. Let l(b) = 1. Let a(g) = 2*g - 5. Let m(h) = -a(h) - 5*l(h). What is w(m(u))?\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 368\/(-80) - (-6)\/10. Suppose -2*w = r - 2, w + w + 4*r = 14. Is w < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**3 + 2*t**2 + 34*t + 33. Let w be v(-1). Solve 2*c + 10 = 5*o, w*c + 10 = 3*o + 4*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -2) + 1704 + -1655?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 582700 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.849 - 0.151. What is the closest to y in 0.4, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37317 (b) 6 (c) -20 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307386183.\nAnswer: 17, 61, 2225059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-12) + 10\/30. What is the common denominator of 45\/22 and ((-105)\/16)\/(-5) + a + 4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**2 + 3. Let x(a) = -22*a**2 - 7. Give -7*b(n) - 3*x(n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5318.58 millilitres?\nAnswer: 5.31858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, -4 in ascending order.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 - 94. Let h(x) = -12*x**2 - 52*x + 10. Let u be h(b). What is u rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 330*m + 996. What is k(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120893474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.251056, -0.01, -2\/13, 2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 305*j - 1211. Let d be o(4). Let p(n) = n - 13. Give p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 3*d - 3. Let q be a(-4). Suppose 0 = -k - 2*f - q, 4*k + 0*f + 16 = 4*f. Calculate the remainder when (-1 - -48) + (k - -3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + 7809?\nAnswer: 7839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-638)\/145*(-30)\/12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 4760, 2\/9, -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfc when three letters picked without replacement from fffjcffcfjfjfljf.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -326*o - 3*o**2 + 326*o. Let n(l) = 25*l**2. Determine x(n(f)).\nAnswer: -1875*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527034 is divided by 303?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 1. Let g(y) = 2*y - 10. Let d be g(7). Give l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11a54 (base 15) to base 10\nAnswer: -56329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(6\/7))\/l*l)\/l**(2\/83))\/(l**9\/(l*l\/(l*l*l*(((l*l**(1\/78))\/l*l)\/l)\/l*l))) assuming l is positive.\nAnswer: l**(-403061\/45318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) -5 (c) -0.5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:08 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*-20549.\nAnswer: 4931.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 1899, 2867, 3849?\nAnswer: 4845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 260*g**4\/7 + 2868*g**3\/7 - 136*g**2 - 11472*g\/7 - 352\/7 = 0?\nAnswer: -11, -2, -2\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*r = 12 + 6, -4*h + 5*r + 23 = 0. Suppose 6*i = h*i - 2. Let v(f) = 0 - 2 + i*f**2 + 5 - f**2. Give v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t\/((((t\/((t*t**(2\/13))\/t))\/t)\/t)\/t*t))\/t**(-3\/4))\/((t\/t**(-4))\/((t\/t**(2\/17))\/t)) assuming t is positive.\nAnswer: t**(695\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126213484153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58945, -117890, -176835, -235780, -294725, -353670?\n\"Answer: -58945*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006865 is divided by 1505.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + 90. What is the nearest to -0.3 in 2\/5, -4\/5, x?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a - 7. Let k be d(-6). Suppose -2*u - 17 = -3*x, 0*u + 4*u = -5*x + 43. Suppose -x*t + 2*t + k = 0. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*c**2 + 30428*c - 1030662.\nAnswer: 112*c + 30428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/165*(-48)\/(-20).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 224.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.74 and -2052213?\nAnswer: -7675276.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 242586662 + 242586662.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19 + 1)*(-5)\/10. Let t(w) = -w**2 + 10*w + 2. Let n be t(r). Let d = 220 - 215. Solve 15 = d*m, -3*x - n = -4*m + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, 214, -1 in increasing order.\nAnswer: -2, -1, 0, 3, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = -p + 6*p + j, p - 33 = -j. What is the lowest common multiple of p and 4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5.2 (b) -48 (c) 0.1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*r - 23481 + 3120 = -216*r - 91*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1215 - 985330*i - 2*i**2 + 985330*i to the form o + z*i**2 + t*i and give o.\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135486 - 99234 = -2934*d for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10728 = -7*y + 25*y. Suppose f = -553 + y. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let l = 55\/402 - -2\/67. Sort l, -0.3, f in descending order.\nAnswer: l, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y - 11. Let s(z) = -4*z + 5. Suppose 4*i + f + 8 = 0, 0*f - 5*f = 5*i + 10. Let g(h) = i*a(h) - 5*s(h). What is the derivative of g(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - 5*f)*(2 + 2*f**2 - 2 + (-3*f + 0 + 0)*(2 + f - 2)).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/6)*b)\/b*b)\/b**1*b\/b**(-2)*b**(-1\/5) assuming b is positive.\nAnswer: b**(79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 0, -2, -153530 in ascending order.\nAnswer: -153530, -16, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.012 or -0.0010969?\nAnswer: -0.0010969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/14 - 2\/7. Suppose s*b + 2*g - 13194 = 0, -13215 = -0*b - 4*b + 5*g. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -2\/7, -4208 in descending order.\nAnswer: 1.9, -2\/7, -4208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 387 - 459. Let r(u) = -14*u + 164. Let w be r(s). Is w greater than or equal to -25\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 + 6 - 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -3 + -4 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 - 78. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxbf when four letters picked without replacement from byyxyynxnnf.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-1\/31))*x*x**(-2\/13)\/x)\/((x*(x\/((x*(x**(6\/5)\/x)\/x)\/x))\/x*x)\/x**(-2\/45)) assuming x is positive.\nAnswer: x**(-35654\/18135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 24*f**2 + 11383*f + 294608. What is v(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7998, 31859, 71702, 127587, 199574, 287723?\nAnswer: 392094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18616 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309724 - 50227 = 21*j. List the prime factors of j.\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:36 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -1.765.\nAnswer: -2.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -317, -752, -1371, -2180, -3185, -4392?\n\"Answer: -g**3 - 83*g**2 - g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*r - 53. Suppose 0 = 2*a + 5*b + 2, a - r = 5*b. Let n = -3 + 6. Solve -n*k - 7 = -5*f + k, -f = -a*k + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.36342 litres to millilitres.\nAnswer: 97363.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 12434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-708)\/472)\/((-12)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p + 23. Let y be q(0). Let r = y - 11. Suppose -2*z - r = -4*z. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*b + 14 = -32, d = 5*b + 34. Solve d*v - 2*v = 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/931 and 113\/403522?\nAnswer: 2824654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 12 + 2*h + 85. Let m be p(-10). Let r = 16 + -7. Sort r, 2, m.\nAnswer: 2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -15, t - 4*t = 3*w - 24. Let c = 218 - 134. Suppose -10*g = -w*g + c. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*14\/6*16\/84.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927829594 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 + w + 2. Let a be l(0). Suppose -60 = 2*q + 4*r - 714, a*q - 4*r - 670 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501389.\nAnswer: 11, 227399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + 6*n)*(69 - 52 + 176).\nAnswer: 1544*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 3. Let u be s(-3). Suppose u = v + 1 + 5. Let g be (-16)\/v*(-1110)\/(-8). What is g rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89099335?\nAnswer: 5, 13, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39517, -39161, -38803, -38443?\nAnswer: -38081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 10*u - 6. Let b be x(5). Suppose b*z - 21*z = -2. Calculate the remainder when 26 is divided by (-37)\/(-4) + z\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 + m + 1. Let v(l) = -5*l**3 - 5*l**2 + 3*l + 3. Give -v(o) + 3*z(o).\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18339 * -1.6\nAnswer: 29342.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 0.02. Which is smaller: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a century in months?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + r - 2*r = -57, 5*p + 2*r = 144. Let c = -9 + p. Factor -c - 4*j**2 + 45 - 20.\nAnswer: -4*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 74.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.605745851 and -11554.\nAnswer: -11553.394254149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00206777 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -74. Suppose 3*w - 23 = -c, l*w + 2 - 16 = 2*c. Let u be (1\/3)\/(2\/w). Is 2\/15 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/24)\/7)\/((-6)\/60*5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2\/(q**(-2\/13)\/q)*q**11*q**(-15) assuming q is positive.\nAnswer: q**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111679?\nAnswer: 29, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -2*b**2 + 9\/20*b**5 + 0*b**3 + 0 + 0*b**4 + 0*b. Let m(l) be the second derivative of l**3\/6 - 15*l + 15. What is n(m(t))?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -95, 1 in increasing order.\nAnswer: -95, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 3 - 3 - 7 + 7.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b**3*d + 1933567*b*d - 2*d + 22695755 wrt b.\nAnswer: 24*b**2*d + 1933567*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70078?\nAnswer: 2, 37, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l*r**2 - 331*l*r + 1834*l - 14837*r**2 - r - 33373 wrt r.\nAnswer: -8*l*r - 331*l - 29674*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1\/20 in descending order.\nAnswer: -1\/20, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*t + 1944 = -130*t - 116*t. What is the greatest common factor of t and 531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.95 + -6. Let i = -4.05 + -4.2. Let n = i + t. Round n to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23327257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 44*y - 116 = 3*w, 0 = -2*w - 4. What is the greatest common divisor of y and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(27\/(-9)) + (-230 - 0). Let u = w - -228. Let y = 5 + -5. Sort 1, 0.2, u, y in ascending order.\nAnswer: u, y, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-474*q**2 - 5*q - 480*q**2 + 960*q**2 - 1)*(-q**3 - q**3 - 3*q**3).\nAnswer: -30*q**5 + 25*q**4 + 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*b - 22089945 = -5460533. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r + 3. Let g be w(-4). Let h be (10\/3)\/((-6)\/g). What is the closest to -2\/5 in 3\/5, h, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*m = -2, 6 - 28 = -4*z + 3*m. Find the third derivative of -14 + f**z + 18*f**3 + 12 + 15*f**2 - f**3 wrt f.\nAnswer: 24*f + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 9. Let o be f(-14). Let d(m) = -m**2 + 8*m - 6. Determine d(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155829946 or 155829943?\nAnswer: 155829943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.4 + -3. Let y = 0 - q. Sort 3\/2, -2, y in descending order.\nAnswer: 3\/2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -0.757?\nAnswer: -0.08327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/7235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -39, -5, 49, 129, 241?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -r - 3*j + 677, 0 = r - 2*j - 629. What is the highest common factor of r and 1075?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 41 - 70. Suppose 3*t - y + 7 = 0. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -59*u**2. Let h(d) = -2*d**2 + 6*d + 6. Suppose 10*q = -q - 11. Let y(l) = -l - 1. Let f(w) = q*h(w) - 6*y(w). Determine f(i(a)).\nAnswer: 6962*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**4 - 13*y + 73 wrt y.\nAnswer: -8*y**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**2 - 24387*i - 36594.\nAnswer: 3*(i - 4066)*(2*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86.63 + -87. Let c = 0.47 + h. What is the second smallest value in 1, 2, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**5\/35 - 2*r**4\/7 + 2*r**3\/7 - 18. Solve t(f) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -38. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 + 145. Let l(x) = x**3 - 6*x**2 + 5*x. Let f be l(5). Solve 0 = w*d - f - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12404 + -9530. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b (base 13) in base 9?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7423*q**4 - 4168*q**2 - 1206*q**2 - 694*q**2 - 3385*q**2 wrt q?\nAnswer: 178152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 - (5 + -304 - 13) is divided by 68?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137296464.\nAnswer: 2, 7, 36940147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35097 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -6. Let b be 2 - (g - (-2)\/2). Let n = 51 - 46. Is b less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(153) + sqrt(153)) + sqrt(153)*-1*2)\/(sqrt(81) + (sqrt(81)*-1 - sqrt(81)) - (sqrt(9) - (sqrt(441)*2 + sqrt(9)) - sqrt(9) - sqrt(9))) + -4.\nAnswer: -4 + 4*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2027188 nanometers to millimeters.\nAnswer: 0.0000002027188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/6 + 8*r**2 + r. Let x be u(0). Suppose 5*l - x = 2*k, -6*k + 5*l = -k + 10. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6826717 kilometers in nanometers?\nAnswer: 682671700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 7. Give r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 9535248?\nAnswer: 47676240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*a + 2*a + 1481, -4*v = -4*a + 5904. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12338621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 29. Let l(u) = -4*u - 3. Let n(t) = 2*t + 1. Let f(a) = q*n(a) + 6*l(a). Calculate f(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a + 134. Let d = a + 192. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6644 - -6655. What is the least common multiple of a and 1227?\nAnswer: 13497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101.69 - -105. Let j = g + -3.71. What is the closest to 2\/5 in 1\/6, -3\/5, 0, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 34) + (660 - 632)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61594424 is divided by 6075?\nAnswer: 6074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320238, -320240, -320244, -320250, -320258, -320268, -320280?\nAnswer: -320294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8 + 3*j + 1 + 7 + 8. Let s be f(0). Let n(v) = v**2 - 4*v + 3. Let w be n(5). Calculate the highest common factor of s and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (38\/6)\/((-3)\/(-9)). Let n = q + -10. Suppose -29 = -2*x + n. Solve -m - m - 10 = 0, 0 = -2*u + 5*m + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1249.5716642 - -17204.\nAnswer: 18453.5716642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j + 1440 - 1482 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/31)\/((-7374)\/(-1142970))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -11156?\nAnswer: 4462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287439213.\nAnswer: 3, 17, 29, 109, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 5*sqrt(65)*-1 - sqrt(65) - -6*(sqrt(65) - sqrt(65)*-1))\/(sqrt(80)*-3*-4).\nAnswer: 7*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 162.3.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 4.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllvlvvvvlvllllvvvl. Give prob of picking 2 v.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times -3086843\nAnswer: 4012895.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 45*v**2 + 84*v + 37. Let x be w(-43). Suppose -x*g = -120*g - y - 392, -2*y - 524 = -4*g. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26688 (base 12) to base 10.\nAnswer: -52808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*i + 2, 3*v = 5*v - i. Solve 0 = -v*l - 0*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(15*s - 15*s - 3*s**2) + (s - 3*s + 0*s)*(2*s - 2*s - 2*s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y - 1. Let s(i) = 27*i - 1. Determine -5*h(d) + 3*s(d).\nAnswer: 16*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(0 + 0 + 1)*(-o - o + o - 2 - o + 2 + 2*o + 2*o - 3*o + (-2 - 2 + 2)*(-2 + 2 - 2*o) + 2*o - 7*o + 3*o + 0*o + 2*o - o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyu when three letters picked without replacement from uyyyuuuu?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474189747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-12)*(-1 + 1). Suppose m = 4*l + 1 - 81. Suppose 4*g - l = -0. Solve s - v = -0*s - 5, -s = 5*v + g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 0.2, 5, 0.5.\nAnswer: 0.2, 0.4, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/30)\/(630\/(-4050)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 5 (c) -43\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/10 - 1\/(-5). Let r be -5 - (-8 - -4 - -3). Let d = r - -8. Solve n = o + u, o - 5*n + d = 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -10101210?\nAnswer: -10101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 34 - 22 = 0. Let m be 38\/8 + (-1)\/(-4). Sort -2, t, m.\nAnswer: -2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22359 rounded to the nearest one hundred?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 78310 + 0*j**2 + 78309 - 156620 - 2698*j - j**2 in the form h + n*j**2 + p*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185758.6mg to kilograms.\nAnswer: 0.1857586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 262 - -2?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 32*k - 836.\nAnswer: 4*(k - 19)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 8 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from mlcjlcjljjl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 19. Let s be 6\/39 + ((-1026)\/26)\/3. Let l = s - m. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -n - 3*n - 4*m, -n - 7 = -4*m. Solve 2*t - 2*z = -3 - n, -3*z = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.17577 millimeters to kilometers.\nAnswer: 0.00006117577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 226190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*d + 10, 3*d - 29 = -2*d - 3*o. Suppose -d*k + 8 = -4*t, 0*t + 16 = t + 5*k. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*d + 5 = -d, -4*d - 10 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 23. Give x(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**8\/112 - c**7\/70 + 7*c**5\/30 - 5*c**2. What is the third derivative of j(w) wrt w?\nAnswer: -180*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -13 + 3 + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 7*j - 5*j**2)*(4*j + j - 4*j)*(-6 + 49 - 112)*(-4 + 4 + j).\nAnswer: 345*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8099717 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: What is the closest to 0.6 in -0.2, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 15 = 3*h + 2*g, -4*g + 16 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a839 - 1203?\nAnswer: -10a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**4 + 31*i**3 + 12*i**2 - 22*i + 6. Let q(o) = 2*o**3 - o - 1. Let b(m) = 6*q(m) + z(m). Solve b(t) = 0.\nAnswer: -14, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from jjcjtjzjf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -16, -2, -3, -4, -78 in descending order.\nAnswer: 4, -2, -3, -4, -16, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -33*v**3 + v**2. Let u be b(-1). Let h = u + -36. Let x = h - -16. Calculate the smallest common multiple of x and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330953 is divided by 9894?\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*h - 241*h - 377*h = 48032 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3318, -400, 2518, 5436, 8354, 11272?\nAnswer: 14190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:53 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -19*o**2 - 2*o + 2. Let i(t) = -19*t**2 - 2*t + 2. Let m(k) = -4*h(k) + 3*i(k). Let u be m(1). Differentiate -26 - 7 - u*n + 17 with respect to n.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 185.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/9)*s**(-14))\/((s**(9\/5)\/s)\/s*s\/(s**1*s)) assuming s is positive.\nAnswer: s**(-536\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**4 + 160*y**3 + 292*y + 1.\nAnswer: 24*y**2 + 960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(10\/(460\/3)). Let f be 15\/90 + p\/(-12)*-1. Suppose -w + 4*w = -y + 4, y - w - 4 = 0. Calculate the greatest common divisor of f and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (3 - 0) - -4. Let i be a*2\/4 - (-3)\/(-2). Put 4, i, -11 in decreasing order.\nAnswer: 4, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669719.06 rounded to the nearest ten thousand?\nAnswer: 3670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13738 + 13739. Which is smaller: x or 11.764?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5745.824cm?\nAnswer: 0.05745824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:26 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*l - 10, -2*l + c = 2*c - 4. Put -5, 0, -1, l in decreasing order.\nAnswer: l, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -30*i - 272. Let m(o) = -22*o - 265. Calculate 5*m(g) - 4*u(g).\nAnswer: 10*g - 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308 (base 13) to base 6.\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*3*3 + sqrt(3600))\/(sqrt(80)*2*-5).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1218.11 decades?\nAnswer: 121.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.49113ml to litres.\nAnswer: 0.03649113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/(7448\/448)*(-2)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 8*h**2 + 5*h + 5. Let z be f(-4). Let q(n) = -n**3 - 13*n**2 + 30*n + 15. Calculate the remainder when 29 is divided by q(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 2*a - 10. Let i be y(2). Let m be 22\/4 - 7\/i. Let v(f) = 9*f**2 - 3*f - 15. List the prime factors of v(m).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**2\/4 - 1041*c - 21045\/4.\nAnswer: 3*(c + 5)*(3*c - 1403)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2 = -3*y, 0*d - d = 2*y + 1. Are 3 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 199*j**2 - j + 2. Let t be p(1). Suppose -t = -a - 4*f - f, -3*a + 4*f = -562. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836184276 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j + 0*j**3 + 0 - 1\/360*j**5 - 3*j**2 + 1\/1260*j**7 - 1\/720*j**6 + 1\/144*j**4. Find g, given that m(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -510?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 13*h - 8454. Let f = h + 3166. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -53. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5772333 a multiple of 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h + 13. Let f be d(0). Let z = -16 + f. Suppose -4*i - 19 = 3*t, 2*t + 0*t = 4*i + 14. Put t, z, 0 in decreasing order.\nAnswer: 0, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118415 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 4. Let h(p) = -3*p**2 + 10*p + 2. Let d(q) = -4*q**2 + 11*q + 3. Let z(o) = 4*d(o) - 5*h(o). Calculate the remainder when z(x) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*y + 42 - 57, -k + y = 3. Solve k = 16*w + 5*w - 84 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*i**3 - 19*c**3*i + c**3 - 4*c*i**3 + 38*c*i**2 wrt c.\nAnswer: -12*c*i**3 - 114*c*i + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 11*m**2 - 10*m + 6. Let h be v(-10). Let k = 11 - h. Suppose -3*w + 6*w = k*n + 19, n + 5 = w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllllyyllll. What is prob of picking 3 l?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 289324 divided by -2\nAnswer: -144662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.9776 days to minutes.\nAnswer: 368607.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*(-28)\/(-49). What is the nearest to h in 2, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 4*q)*(3 + 9 - 8 + (4 - 1 - 2)*(4 - 4 - 2) - 1 - 6 + 3).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -661 + 5?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 2*h - 9613758888 + 7*h**2 + 9613758888.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 14 = 3*o, 1 = 4*o + 5*h - 18. Solve -3*v + 6*v - o = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -305 in descending order.\nAnswer: 2, 0.5, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -13*j - 23. Let w be c(-2). Suppose -w*m = 0, -p + 9*m = 11*m - 3557. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1118, 1484, 2094, 2948, 4046, 5388?\n\"Answer: 122*j**2 + 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**3 + 12*o - 12. Is s(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.14. Let m = 5.46 - l. Let q = -5 + m. Which is the biggest value? (a) q (b) 4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 24\/137651?\nAnswer: 24\/137651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/4)\/12*(2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2876 divided by -4\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 12*c + 287 = 32 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g + 1. Let k(p) = 2*p - 10*p - 4 + 2*p + 5. What is -4*k(q) + 3*n(q)?\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from sssqsqgsssqgggqsssqq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*b**2 - 115*b**2 - 284*b**2 - 240*b**2 - 55.\nAnswer: -533*b**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/6*(-1 - -4) + -2. Suppose 0 = -4*w + 3*x + 63, -s*x - 75 = -7*w + 2*w. Let q be 3 + 3 + (-3 - -3). What is the highest common divisor of q and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 44 + 60. Let d = -24 - y. Solve 3*s + h = -13, s - d*h - 14 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1. Let y(j) = j**2 - 5. Let k(c) = 10*v(c) + 2*y(c). Let w(d) = -8*d. Give k(w(p)).\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -2728?\nAnswer: -2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 4*v - 4. Let i(m) = -m**2 - 3*m - 3. Let c(h) = -4*i(h) + 3*n(h). Let y(x) = -8*x**2. Calculate y(c(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from {x: 7, u: 9, f: 1, l: 2}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 1067, 1806, 2681, 3692, 4839, 6122?\nAnswer: 7541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18949249 and 66.\nAnswer: 113695494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -465 - -472. Let r be 4 + (2 - (-3 + 0)). Suppose 11*z - 2 = r*z. Solve -z - n = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 - o**3\/6 - o**2 + 5*o. Let z(i) = -i**2 - 2. Let d(a) = -2*n(a) + 3*z(a). Calculate d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 + 2*m**2 + 3*m - 1. Let t(a) = -a**3 - a**2 - a + 5. Let h(l) = 8*l**3 + 4*l**2 + 3*l - 29. Let d(i) = -h(i) - 6*t(i). Give -4*d(q) + 3*r(q).\nAnswer: -q**3 - 2*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12208 (base 15) in base 9?\nAnswer: 87288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**3 + 30 - 33 + 3*l**2. Let q(w) = -w**3 - w**2 + 1. Calculate h(i) + 3*q(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1685740.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-17\/4))**(4\/17))**(-3\/8) assuming m is positive.\nAnswer: m**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 5*l - 6*l - 16)*(-18 - 3 - 21).\nAnswer: 84*l + 672","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -20. Suppose 0 = i - 6*i + 80. What is the least common multiple of i and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/954)\/(17572\/39537).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a + 16*a - 12*a**2 + 25*a**2 - 14*a**2 as d + g*a**2 + i*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114 is divided by 263.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*k + 4*k = 0, 5*k = -10. Suppose 0 = 2*h + h + 4*g - 28, -3*g - 79 = -4*h. Let a = h + u. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 3 + 0 - (sqrt(13) + sqrt(1573)*-4)*3.\nAnswer: 3 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3*q**2 - 6 + 8\/3*q**4 - 4*q**3 + 43\/3*q + 1\/3*q**5.\nAnswer: (q - 1)**3*(q + 2)*(q + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*d + 159 - 53 = 0, 0 = 3*z - 2*d - 184. Solve -31*f = -60*f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2724191, 0.09, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 61 - 4*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 + w + 1. Let d(t) = 5*t**3 + 4*t**2 - 4*t - 3. What is d(h) + 4*k(h)?\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53086958?\nAnswer: 2, 61, 435139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/9*3)\/(-1 + 0).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 1707228336.9.\nAnswer: 1707228336.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:58 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z. Let u(t) = -6*t**2 + 318*t - 1. What is i(u(p))?\nAnswer: -24*p**2 + 1272*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 5943. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211648819?\nAnswer: 191, 503, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o - o + 2*o + (-2 - 1 + 5)*(-114*o + 141*o + 55*o) + 2*o + 2*o - 3*o.\nAnswer: 158*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 36 = -5*t, 4*t + 10*k - 13*k - 27 = 0. Let q(n) = 4*n**2 - 36*n + 4. Let v be q(t). Solve y = 2*i - 3, v*y + 5*i + 25 = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in -0.1, 0.4, 1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -97589, -194644, -291677, -388682, -485653?\n\"Answer: d**3 + 5*d**2 - 97077*d - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76d8 - -1?\nAnswer: 76d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*(-9)\/(-12). Let c = 107 - 105.93. Let w = -0.07 + c. What is the nearest to w in l, -0.1, -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/30)\/((-274)\/52060)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let k be (-6)\/3 + 15\/f. What is the least common multiple of 3 and ((-18)\/6)\/(k\/(-11))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 - 295. Let u = w - -118.9999953. Round u to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/((-16)\/(-6)))\/(-3). Let l = 0.035 - 2.535. Let u = l - -2. Which is the third smallest value? (a) u (b) -1 (c) 5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9864500 take away 24519?\nAnswer: -9889019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20227840187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81.1885 - -79.688537. Let n = 2 + -3.5. Let z = g - n. Round z to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x - 775. Let w be h(39). Solve -25*r + 21*r + 17 = -b, 20 = w*b + r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (-2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*p - 3, -3*p + 291*m = 295*m + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooooeeo. What is prob of picking 2 o?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 + 410 = -31*g + 26*g + 250 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4527? (a) -3.2 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90 and -2518.\nAnswer: 226620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9301890)\/4392)\/391*1\/(13\/(-2))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 1505, 3812, 7789, 13910, 22649, 34480?\nAnswer: 49877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - sqrt(126)*1)\/(sqrt(28)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183956, 367877, 551798, 735719, 919640, 1103561?\nAnswer: 1287482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 7. What is the derivative of o*w - 4 + 10 + 4*w wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zttpppfttffpkfzpze. What is prob of sequence zfzz?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 60*a**2 - 812*a + 47. Calculate the remainder when i(-20) is divided by 184.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24162*r - 4442 = -24319*r + 3408 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(14 + (-18 - 0)). What is the closest to -2\/5 in 0.1, q, -0.12, -5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 435*t - 430.\nAnswer: -5*(t - 86)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - 6\/(-2))\/1. Let n(o) = -7*o - 14. Let l be n(m). Solve 0 = -h + s, 4*h + 3*s + 0*s + 28 = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**6\/27 + 8*i**5\/15 - 49*i**4\/18 + 20*i**3\/3 - 76*i**2\/9 + 16*i\/3 - 310. Solve f(u) = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6787\/1836 + -1\/108. Let n = w + 591\/187. Let d = -0.2 + 3.2. Put -3, n, -2, d in descending order.\nAnswer: d, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3842*l - 53774. Determine w(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4530, 6961, 11012, 16683, 23974, 32885, 43416?\n\"Answer: 810*t**2 + t + 3719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (-2)\/11 - (70\/(-22) - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7766*d + 1284 = -6932*d + 450 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 278025 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/5 - c**4 - 9*c**3\/5 - 7*c**2\/5 - 2*c\/5.\nAnswer: -c*(c + 1)**3*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*j**2 - 8*j**2 + 5*j**2)*(-18*j + 186 - 186) in the form h*j**2 + k*j + y*j**3 + o and give y.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2705030895 to the power of 1\/2, to the nearest integer?\nAnswer: 52010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885 is divided by 220?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3115399 and 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 1 (b) -1.553 (c) -2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 34262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/192)\/(((-663)\/18)\/17)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 1, t: 1, i: 1, s: 5}. What is prob of sequence fti?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wppx when four letters picked without replacement from {o: 1, p: 7, w: 2, x: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(7) + sqrt(14)\/(sqrt(6)\/sqrt(3))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70801\/15 or 4720?\nAnswer: 70801\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from lwlllwwwwlwlwlllwww.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176538612?\nAnswer: 2, 3, 14711551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9398*r - 24240 wrt r.\nAnswer: -9398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskkhih. Give prob of picking 1 k and 1 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8888100 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i. Let w = -11 + 8. What is the nearest to 4 in i, -1\/2, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -68*h + 138. Let k be u(2). Which is the closest to 0.08? (a) -0.5 (b) k (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 0*h + 0*h**2 + 5\/4*h**4 + 2*h**5 - 5 + 5\/6*h**6 + 0*h**3. Factor x(v).\nAnswer: 5*v**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 3:01 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/9 (b) -0.4 (c) -0.5 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 3*y + 5. Let d be i(5). Suppose -3*k + 0*k = d, 3*a = -4*k + 169. Suppose 5*g - 69 = p + 3*p, 5*g = -2*p + a. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**2*z - 418*f**2 - 32*f*z - 882*z wrt f?\nAnswer: 24*z - 836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 - 326\/3. Let v = -21401\/6 - -3543. What is the common denominator of h and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + h = -103 - 516, c - 305 = 2*h. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/7))\/o)**(-2\/25)\/(o**(-7)*o**(-11)) assuming o is positive.\nAnswer: o**(3146\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/10)\/((-36)\/(-120))*588\/8. Which is the nearest to -2? (a) 2 (b) -0.3 (c) -2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*g - 1 + 121 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**3 + 6*a**2 + 2*a + 22. Let c(t) = 4*t**3 + 3*t**2 + t + 10. Let g(f) = 7*c(f) - 3*h(f). Suppose -2*i + 7*i = -15. What is g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 251. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-126)*-9)\/((-5)\/60*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*s - 24, -13*s + 14*s = 3 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15740437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86 - 39) + -21 + -56?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 3*g - 3. Let w(j) = -j + 1. Let l = 4 - 6. Let u = l - -1. Calculate u*n(d) - 3*w(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*p - 10 = 0, -2*a + 0*a - 2*p = 4. Calculate the remainder when 14 is divided by (-2*a\/3)\/(8\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.93 + -0.07. Let z = -0.3 - -0.2. Let q = -0.5 - z. Which is the closest to -2\/7? (a) x (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*((-3)\/6)\/1. Let f = -0.438 - -0.138. Which is the third biggest value? (a) -0.1 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 14. Let b = 22 + t. Suppose b = 3*k + h, 4*k + 5*h = -0*k + 44. Sort 2, k, -1 in increasing order.\nAnswer: -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:12 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 16. Let p(m) = -3. Suppose 51 = 5*i + 2*w + 4, 0 = -4*i + 4*w + 60. What is i*p(l) + 2*t(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/6 - 19*m**4\/6 + 115*m**3\/6 - 241*m**2\/6 + 104*m\/3 - 32\/3.\nAnswer: (m - 8)**2*(m - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 807 + 453 + 648*r + 54*r**2 - 26*r**2 = 0.\nAnswer: -21, -15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, -2\/39605, 0.1 in descending order.\nAnswer: 0.1, -2\/39605, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4327854 + -0.6528729?\nAnswer: -4327854.6528729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000592004418 to 6 decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 - (-8 + 10)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12897a (base 16) in base 15?\nAnswer: -18ee47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 141 + 9 + (-74 - -33) + (17 - -1).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.286 and 4.\nAnswer: 1.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.4 + -11.8. Let u = -0.3 + -0.7. Which is the closest to u? (a) 0 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1001111?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**3 - 3*g**3 - 4*g**2 - g**3 + 2*g. Suppose -1 + 9 = 4*f. Is h(f) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(21\/12 - 2). Let l(x) = 2*x**2 + 1 - 2 - 2*x + 0*x + x**u - x. What is l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*t**3 - 154\/5 - 14\/5*t**2 - 169\/5*t = 0 for t.\nAnswer: -7, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 12)*7\/(-2). Suppose 3*c = 7*c - h. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**4 + 231*n**3 - 269*n**2 + 5329775 wrt n.\nAnswer: 16*n**3 + 693*n**2 - 538*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 217\/2*y**2 + 1\/2*y**3 - 11881\/2 + 11663\/2*y = 0.\nAnswer: -109, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392245621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-2400.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 4*h**2 - 3*h + 3. Determine b(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 587, 1478, 2971, 5072, 7787, 11122, 15083?\n\"Answer: j**3 + 295*j**2 - j + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121*(-58)\/(-1595))\/(-1*(-2)\/(-5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 221*t + 1114. Let u be s(-5). Solve -4*x = u*x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 119 = 4*q, -2*m = -q + 2*m + 6. Let v(k) = k**2 - 17*k + 18. Let o be v(16). Solve o = -6*c + q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1793.000727 - -1793. What is k rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffr when three letters picked without replacement from {r: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 49*l + 6. Let m(p) = 832*p + 104. Let r(g) = 52*f(g) - 3*m(g). Let b(c) = -2*c**2 - 2*c**2 - 33*c + 33*c. What is r(b(y))?\nAnswer: -208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*d + 12 = 4*j, 20 = 5*j - 2*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 300*p + 927.\nAnswer: -3*(p - 103)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 287*h**2 - 159*h + 1661. What is the tens digit of s(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 3*q**3 + 2*q**2 + q**2 - 6*q**2 - q in the form r*q**2 + f + m*q + t*q**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/(-3))\/((-4)\/(-6)). Let z = j - -15. Suppose -31*s + z*s = -222. What is the remainder when s is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78013 divided by -6?\nAnswer: -78013\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1000?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4162216314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 438\nAnswer: -3942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (7 - 470\/70 - (-36)\/21). Solve 3*b = l*h + 17, 0 = -3*b + 2*b + 3*h + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22193838 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzzzlzzlulzzuzzzyl. Give prob of picking 2 u.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (187948\/816090)\/(95\/125).\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251746?\nAnswer: 2, 11, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -228, -186, -126, -48?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 346185 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3188 * -431.\nAnswer: -1374028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1850 - -1946. Let m be 32\/6 - (-2)\/(-6). Suppose -b = -m*b + p. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1436585 and -55\/1149268.\nAnswer: 5746340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let o(d) = -4*d**2 - 3*d + 12. Let t(n) = -3*n**2 - 3*n + 8. Let g(x) = 2*o(x) - 3*t(x). What is g(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 397.84 + 4.16. Let v = 402 - u. What is the closest to 0.1 in v, 0.3, 29?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178 and 8618?\nAnswer: 767002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -6 - (-57 + 51). Suppose 0 = p*u - 8782 + 1522. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 2*a - a - 4*a + 2*a + 8 = 3*g, -4*g = -2*a + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163857 + 163860. Let q be ((-3)\/(-2))\/((-9)\/(-168)). Let f = -16 + q. Calculate the greatest common factor of f and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.5 (c) 11.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*r*w**4 + 10*r*w**3 + 68*r*w - 18*w**2 + 132*w wrt w?\nAnswer: -108*r*w**2 + 60*r*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*v)*(0 + 0 - v)*(-5 - 11 - 5 + (-3 + 6 - 2)*(0 + 4 - 3) + 3 + 4 - 6) in the form o*v + c + t*v**2 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 16. Suppose 0 = -0*v + j*v - 4*b - 136, -136 = -4*v + 3*b. What is the second derivative of 19*k - 37*k + v*k**2 + 11*k wrt k?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + (-1 - -11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 + -11?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2 - g + 2. Let m(f) = 239 - 11*f**2 - 236 - f + 3*f**2. Calculate 3*j(p) - 2*m(p).\nAnswer: -5*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 15*l - 33. Let d(j) = -j - 20. Let v(q) = 2*d(q) - g(q). Let w(z) = 6*z + 2. Calculate 3*v(s) + 8*w(s).\nAnswer: -3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 14, -1\/14, 1.3, 0.3, -0.09, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10+-2729875\nAnswer: -2729885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10837724 divided by -63?\nAnswer: -10837724\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13016909999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 2\/9*h**2 - 10\/3*h**3 + 14\/9*h + 4\/9 = 0. What is h?\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33333 + 33331. Which is the nearest to -2\/39? (a) -0.08 (b) 1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -510 + 163. Let a = s - -668. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.10366342?\nAnswer: -0.093297078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 7:10 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 68864367.2 to the nearest 1000000.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 77. Calculate the highest common divisor of c and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 10. Let r be 4\/(-10)*z\/(-2). Let v(x) = x**3 + x - 1. Let c(y) = 5*y**3 + 3*y**2 + 3*y - 4. Let h(d) = -c(d) + 6*v(d). Determine h(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/108 and 49\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.358568ml to litres.\nAnswer: 0.008358568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 200112101 (base 3) in base 7?\nAnswer: 54250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-40)*(a\/a**(2\/15))\/a*a**3 assuming a is positive.\nAnswer: a**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = -100 + 112 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, w: 9, l: 4}. Give prob of picking 2 i and 2 l.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-6))\/(3*5\/(-4320)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 + 0.12. Let p = -6 - -2. What is the nearest to 0.2 in t, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -35 + 7*m - 36*m - 126*m. Let n(x) = 13*x + 3. Determine 35*n(l) + 3*y(l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*x**2 + 497*x**2 - 1005*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 112\/18)*1381\/(-40). Let x = 13\/60 - w. Calculate the common denominator of -26\/11 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/7, -8, 8\/11, -1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58765642.\nAnswer: 2, 13, 2260217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -115*c - 57. Let v be d(-14). Let x(b) = 1553 + 5*b - v. Let a(s) = -60*s. Determine -3*a(r) - 35*x(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432 divided by -15349?\nAnswer: -4432\/15349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n**2 - 1037994*n - 259498 = 0. What is n?\nAnswer: -129749, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 885 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 526139256 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477280442?\nAnswer: 2, 238640221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-10 - -20 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 8)\/((-10)\/(-515)). Let k = 513\/5 - j. What is the second smallest value in -4, k, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -665.6 and 0.7.\nAnswer: -664.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 2*f)*(827757 - 827760 - 3*f + 4*f).\nAnswer: -f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -50, -104, -186, -302, -458?\n\"Answer: -n**3 - 5*n**2 - 10*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 40\/(-22) + 3. Suppose 5*i + y - 199 = 0, -3*y + 20 = 2*y. Let m be 13\/i - 10\/3. Which is the closest to 1\/3? (a) 0.4 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*s + 623*s + 368*s)*(0 + 5 - 3).\nAnswer: 1816*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 136*k**2 + 559*k - 141. Determine i(-140).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*w - 209*w - 818 + 2618 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r**3 - 8*r**2 - 11*r + 8. Let w be (0 - 1\/(-2))\/((-13)\/(-130)). Let u(m) = -9*m**3 - 5*m**2 - 7*m + 5. Determine w*x(p) - 8*u(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 80 = -8*z + 13*z, -3*i + 95 = -3*z + 119 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 2\/15, -2\/7, -127\/6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -35. Let h = -10 + j. Let l = -5 + h. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 342.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2*-614714\nAnswer: 1229428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 18*c - 32. Let x(w) = 14*w - 24. Let t(y) = 3*p(y) - 4*x(y). Let m(a) = 677*a**2 + 1. Give m(t(z)).\nAnswer: 2708*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108054?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894*d - 1227*d + 3604*d - 175*d.\nAnswer: 1308*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 14*q + 21 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16*(3\/(-2) + -1). Let m = -113 - -93. Let c = x + m. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-7)\/21*-9. Let b be (35\/(-7) - 0)\/w. Solve -2*o + b*t + 23 = -3*o, 4*o - 33 = 5*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/105)\/((-4)\/40)*297\/(-924)*-42.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368639 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*f + 405. Let j(x) = -x**2 - 34*x + 135. Let y be j(0). Let q = y + f. Solve 2*v = -q*a + 2*a + 2, 2 = 2*v - 4*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1405709 (base 11) to base 14\nAnswer: 471192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4960 minus 2?\nAnswer: -4962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056129 to three decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 59*c**3 + c**2. Let f = -3 - -6. Let u be (1\/f)\/((-4)\/(-12)). Does 21 divide h(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239531*y - 3*i = 239535*y - 45, 5*y - 78 = -11*i for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3470791.\nAnswer: 31, 103, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(-17))**37\/(t**34*t\/((t**24\/t)\/t)) assuming t is positive.\nAnswer: t**(-531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5445120, 5445094, 5445080, 5445084, 5445112, 5445170, 5445264?\nAnswer: 5445400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14*9\/(-99)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150970016 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3192103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) 1\/24 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 27*t**2 - 43*t + 46. What are the prime factors of j(10)?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 5*o + 8. Let s be (-276)\/48 + (-9)\/(-24)*2. Let z be c(s). Solve 2 = 2*r + z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -1277, 112 in descending order.\nAnswer: 112, -89, -1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1149 - -13. What is the tens digit of z\/4 + (-17)\/34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 105 + 205 - r**2 - 2*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + -0.07000012. Round v to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -4, 735 in descending order.\nAnswer: 735, 77, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6 = 2*t - r, 0 = -4*r - 24 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6000) + sqrt(6000) - (sqrt(60) - sqrt(540))*-2)\/(sqrt(60)\/(sqrt(800)\/sqrt(10))).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658\/4*(-134)\/469 - -16.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78941 is divided by 3510.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d. Let t be m(-5). Let f = 488 - 484. Solve -t = -l - f*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200757, 401352, 601947, 802542, 1003137, 1203732?\nAnswer: 1404327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63786, -255130, -574036, -1020504, -1594534, -2296126?\n\"Answer: -63781*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14949 and 8886?\nAnswer: 44278938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 4 - 3*u + u**3 - 3 - 6*u**2 + 6. Let f be s(7). Let k = -90 - -93. Which is the second smallest value? (a) 2 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3677 + 3680 - o**3 + 7*o**4 + o**2 + o**2 as m + t*o + x*o**3 + w*o**2 + j*o**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3 + 0)\/(1\/8). Suppose h - 2 = r - j, 0 = -r - 5*h + 24. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 3\/7, 36003?\nAnswer: 36003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.51 - -5.51. What is the second smallest value in d, 1, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (130883 + 13)\/12 + 4?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3899672103 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6bc2cd (base 16) in base 12?\nAnswer: -2446b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 179010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 5. Let g = 80.14 + -75.14. Which is the closest to g? (a) 0 (b) l (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(1 + 1 + 1)*(-2*y + 5*y - 4*y) in the form m*y + n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 2208?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2 + 2*v. Let j(i) = 242*i**2 + 55*i. Give -2*j(p) + 55*r(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1837 - 1819. Solve 439*x = 448*x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**2 - 7*l - 1 - 3 - 1 - 7*l**3. Let k(p) = -5*p - 6*p - 11*p**3 - 4 - 14*p**2 - 4. Let r(y) = -8*j(y) + 5*k(y). Determine t, given that r(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 687 and 30.\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3626 - 145049\/40. Let k = j - 137\/80. Find the common denominator of (-21)\/(-49) - 257\/126 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -627*a - 67672. Determine h(-108).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 385520*n + 3084480.\nAnswer: -5*(n - 8)*(n + 77112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.6 + 18. Let x = -2.60034 - n. Round x to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -30, -20, -8, 6?\n\"Answer: j**2 + 5*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*y + 7, -47 + 12 = -5*y + 3*w. Let q = -3 - -5. Find the second derivative of -q*i**y - 7 + 7 - 4*i wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 7:27 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -1, 4 in decreasing order.\nAnswer: 4, -1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12.004 * 0.3\nAnswer: 3.6012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-20))\/((-9)\/6). Let k = 68.81 - 70.81. What is the closest to k in 2\/5, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - u + 1)*(-2 - 2 + 5) + (0 + 4 - 6)*(5*u - 2*u - u))*(-8*u**3 - 6*u**3 - 3*u**3) + (2*u + 5*u + 4*u)*(u**3 - 5*u**3 + u**3).\nAnswer: 52*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 36*r - 62*r + 30*r. Let g be v(-1). What is the nearest to 0 in -1.4, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 47468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*k**4\/2 - 393*k**3\/2 + 24*k**2 + 224*k.\nAnswer: k*(k - 56)*(k + 1)*(7*k - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(539) + 0 + -1).\nAnswer: -4 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 + 111. Let u = -0.3 + 0. Let g = 1117\/12581 + -1\/547. What is the smallest value in -3, g, j, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 - -3. Let b = -47.733 - -0.533. Let j = -47 - b. What is the third biggest value in j, 3, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-1 - -2 - (11 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21621, 21616, 21611, 21606, 21601?\n\"Answer: -5*b + 21626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 45*v**4\/4 - 560*v**3\/3 + 415*v + 1. Find the second derivative of l(m) wrt m.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516869438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -v + 13, 4*y = 2*v - 4*v + 2. Let m = 43 - v. Let p be 54\/m + 42799994\/4. What is p rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - 6*n**3 - 21574960*n + 21574960*n.\nAnswer: -6*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -3\/2*b**2 + 8 - 14*b. Let m be s(-10). What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1921*f**3*o**3 + 3*f**3*o**2 - 102*f**3*o wrt o.\nAnswer: -11526*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 12*t - 6. Let x be v(13). Suppose -s + x*s = 78. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11080820, -11080821, -11080822?\nAnswer: -11080823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3791, 35, -1, 43 in descending order.\nAnswer: 3791, 43, 35, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47791789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 1 + 2\/21*j**3 + 0*j + 0*j**2. Solve t(k) = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -7*u**4\/2 + 180*u - 40. Let y(n) be the first derivative of w(n). Let a(d) = -4*d**2. Give y(a(h)).\nAnswer: -672*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. What is the third biggest value in s, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -543493*c + 543493*c - 39701*c**2 in the form f*c + t + h*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 2256?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1372*s**2\/5 + 70*s - 12\/5.\nAnswer: 2*(7*s + 2)*(98*s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 + 3 + -6 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 0, -153154, -39 in descending order.\nAnswer: 0, -2, -5, -39, -153154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p - 92*p**3 - 8*p - 3*p + 211*p**3 + 0*p in the form o + w*p + j*p**3 + i*p**2 and give j.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:28 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*o - 18 = 4, m - 13 = -3*o. Let x = 0 - m. Suppose 2*b + 1 = -3*n, -x*n + 3*b + 7 = -14. Solve u = n*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11860486.085509 and 6.\nAnswer: -11860480.085509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*j**3*z + 2*c*j*p**2 + 12*c*p*z - 38*j**3*p**2*z + j**2*z - 4*j*p*z - j*p + p**2*z wrt p.\nAnswer: 4*c*j - 76*j**3*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*b - 30 - 40, -60 = 2*r - 4*b for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1198, -2244, -3332, -4462, -5634?\nAnswer: -6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/70 - 2358\/(-21) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 0 + 8\/9*t**2 + 8\/9*t + 4\/9*t**4 - 14\/9*t**3 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 497055*p + 337147 wrt p.\nAnswer: 497055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + h + 219 = 3*u, -5*u = -5*h - 375. 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: Round 0.000013948 to seven dps.\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 + 161*x**2\/2 + 147*x - 1908.\nAnswer: (x - 4)*(x + 6)*(x + 159)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2\/3 + 826*m\/3 + 8128 = 0.\nAnswer: -381, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/((-3150)\/(-56)*(-3)\/(-15)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721*m - 2159*m + 720*m + 719*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7526980 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 94118, 188263, 282408, 376553?\n\"Answer: 94145*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:14 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14021375187 rounded to 4 dps?\nAnswer: 0.1402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*((-1 + 1 - o)*(-2*o**4 + o**4 + 3*o**4) + 2*o**3 - 2*o**3 - o**5).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313433060 divided by 383170.\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 bigger than -963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.197, -5 in descending order.\nAnswer: 0.3, -0.197, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1050, -13, -1 in descending order.\nAnswer: -1, -13, -1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -15. Suppose 2*b + 3*d + 6 = 0, -3 = -4*b - 2*d + j. Is 53 - b*(-3 + 2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 39 - 30 = -t, 4*u - t = 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/20 + 5*v**4\/12 - v**3\/2 - 5*v**2\/2 + 3287*v + 2. Determine f(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -507*s**5 + 2938*s**3 - 83738289*s**2?\nAnswer: -30420*s**2 + 17628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1008)\/(-864)*3\/70.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 32196148.\nAnswer: 32196148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2953?\nAnswer: 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - -6.983416863.\nAnswer: 52.983416863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756239655 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52318060 divided by 5.\nAnswer: 10463612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2592)\/(-2176) + (-13)\/(-221) + 1\/(4\/347)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 37*f - 17. Let n be b(19). Is n >= 17\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 4*q + 3. Let v be j(3). Suppose -4 = -d - v*d. Suppose 3*m + 42 = 4*f + f, 0 = -3*f + d*m + 23. Solve -h - 6 = -2*w + f, -3*w = 3*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1\/2*u**4 - 3*u**3 - 36 - 3*u - 7\/2*u**2. Find the second derivative of z(m) wrt m.\nAnswer: 12*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -37*f**5 + 6*f**2 - 2. Let s(p) = -2. Let h(m) = -2*k(m) + 2*s(m). Find the third derivative of h(j) wrt j.\nAnswer: 4440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 3*k + 90, -k - 98 + 150 - 55 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 531 - 316. Let r = 216 - g. Let z be (0 + 1)*2\/4. What is the closest to r in 2\/7, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1919 + 2104. What is the remainder when j is divided by 75?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 10\/(-8))\/(984\/(-1312))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0415 (b) -2\/15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27603*w**2 + 27603*w**2 + 167*w**3.\nAnswer: 167*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -58936802+330\nAnswer: -58936472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*w**3 - 4364029*w**2*y**2 + 19725913*y**2 wrt w.\nAnswer: -9*w**2 - 8728058*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.535 - -1.235. Let i = 0.2 - 0.3. Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*c - c - c)*(-1 + 0 - 1) + (191*c - 370*c + 208*c)*(1 - 4 + 4))*(-2 - 1 + 0) + 0*c - c - c as w + i*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 203581897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b + 2*m = -28*b - 7769, 2*b = m + 15538. List the prime factors of b.\nAnswer: 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 9:34 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 + 15)*1\/(-2). Let v(n) be the second derivative of 0 + 4*n + 1\/12*n**4 + x*n**2 + 1\/2*n**3. Suppose v(u) = 0. Calculate u.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 4. Let l be f(-3). Suppose 0 = -h - l. Let b = 0 - h. Solve -k = -1 + b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*m + 4 = -180*m. What is the second derivative of -106*k**2 + 856*k - k**3 + m - 429*k - 428*k wrt k?\nAnswer: -6*k - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - d = 2*d - 101, 4*x + 7*d + 9 = 39 + 203 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:18 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/32)\/(58\/16 - 1). Let n = -209 - -2715\/13. Let t be 7\/(-6)*((-1)\/7)\/1. What is the closest to c in n, 4\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61.63 + 64.63. Which is the nearest to 1? (a) -0.5 (b) r (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-1056)\/36. Let r = h + -21. Suppose 3*u - r = k - 6*k, 5*k + 41 = u. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41482962 take away 0?\nAnswer: 41482962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1325 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3260.2 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k - 60*k - 45 = -7*a + 4*a - 117*k, -30 = 10*k for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 17 = 56 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/55507 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*n**2 + 122*n**2 - 19*n**3 + 0*n**3 + 0*n**3 + 2*n**3 + (4 + 2*n - 4)*(5*n - 5*n + n**2) - 2 + 2*n**3 + 2 as z*n**2 + m*n**3 + r*n + v and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.024373541 - -4777.\nAnswer: 4777.024373541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 34*k - 1. Let i(l) = -l**2. Determine i(u(a)).\nAnswer: -1156*a**2 + 68*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185812831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/27))**(-34)*j**4\/j*j\/j**(-1\/4) assuming j is positive.\nAnswer: j**(731\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297983 is divided by 59579?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - 1204955.\nAnswer: -1204954.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*h + 5*a, -6*h + 5*a + 119 = -2*h. Suppose 4*r - 7 = 2*k + k, -5*k - 55 = 2*r. Let x = h - k. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 372.9 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003113 + 13012?\nAnswer: -1330101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-14 + 13 - 19) + (-24 - -69))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 26*f - 52. Let x be j(2). Sort -45, 1, x in descending order.\nAnswer: 1, x, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 2 + 2 + (4*d + 0*d - d)*(1 + 0 + 0) - 3*d + 0*d + 4*d)*(-1 - 17 + 6) as f*d + b and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-3 - -10) - -1. Let s be 13 - 1\/(3\/c). Solve 0 = -2*u - 2*l, -4*l - s = -2*u - l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcchxdcccxc. Give prob of picking 3 c.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1116 (base 7) to base 2\nAnswer: -110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(429) + ((sqrt(429) - sqrt(429)*1*-6) + sqrt(429) - sqrt(429)))\/((sqrt(11) + sqrt(44)\/sqrt(4))*-1))\/(sqrt(162)\/sqrt(6) - sqrt(144)\/sqrt(3)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1))\/((u*u**15)\/u))**22 assuming u is positive.\nAnswer: u**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/106395 and 41\/15.\nAnswer: 106395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.67 - 1.33. Let f = -22.4 + 22. Which is the closest to -0.4? (a) f (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 7*v + 6. Let s be n(-6). Let d = -724.1 - -723. Is d at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426236 divided by -41.\nAnswer: 10396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, 1, 0.2, 0.09, 946, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5973.415 years to months.\nAnswer: 71680.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131802*i = 131797*i + 3*y - 108, 0 = -4*i - 5*y + 217 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 40?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 463754 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6662 - -6662.2. Let v = 1 + -2. Let a = v - -0.5. What is the nearest to l in -2, 2\/9, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4216*b**4 + b**3 + 2*b**2 + 76*b - 27 wrt b?\nAnswer: -101184*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 - 39*n + 77*n - 38*n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) 3\/8 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*g + 20, 3 = -2*g - 1. Let y be ((-4)\/m)\/((-3)\/9). Let t(q) = -q**2 - 3*q - 3. What is t(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*m + 23 + 0*m - 2*m**2 - 5 wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t - 12. Suppose 50*q - 55*q = -20. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1605)\/(-214)*4\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107 and 26536.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7363 is divided by 662.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8518*h**3*i**2 + 102119*h**3 + h*i**3 wrt i?\nAnswer: 17036*h**3*i + 3*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36\/7? (a) -1\/6 (b) 3 (c) 2\/1077\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22833439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5520 and 91414305?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -113?\nAnswer: -67.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 8 - ((-1 - 0) + -634 + 623).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3459042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmcb when four letters picked without replacement from {c: 5, k: 3, b: 2, x: 8, m: 2}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003505048684 to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*p**4 - 1732*p**2 + 1732*p**2 - 5 + 2*p**4 + 5 + 1 - 2*p**4 - 1 + (-5*p**2 + p**2 + 3*p**2)*(2*p**2 + p**2 - 2*p**2).\nAnswer: -62*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3670613604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 - 102*f\/5 - 20 = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391?\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -96*o**2 + 3 + 3*o + 45*o**2 + 53*o**2 - o**3. Let r be m(2). Suppose 14*k - r*k = 350. Calculate the least common multiple of 22 and k.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 877 - -823. Is s a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/433 and 22\/5.\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-596)\/14)\/(28\/(-98)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**6 - 357*c**5*r**2 - c**2*r**2 - 286*c**2 wrt c?\nAnswer: -480*c**3 - 21420*c**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 14.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4167138*x - 4167138*x - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 1 (b) -2 (c) -2\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400783180 to the nearest integer?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1127 + 1174. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*j = 1302 - 5304 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j - 2521 + 658 = 11 + 1961 for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 30*d**3 + d**5 - 1\/18*d**6 + 81*d - 135\/2*d**2 - 1 - 15\/2*d**4. Let g(h) = 0. What is h?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -120. Let d = t + -102. Let h(c) = 3*c - 2. Let z(q) = -13*q + 7. Let l(w) = -18*h(w) - 4*z(w). Determine l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3cdc7 (base 14) to base 3\nAnswer: 21122222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*q**2)*(0 + 0 + 1)*(-4 + 0 + 2) - 35*q**2 - 99*q**2 + 202*q**2.\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 = 12*m - 11*m, -4*m - 20 = -4*z. Let r = 0.3 + 3.7. What is the closest to 3 in -5, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/265 + 24121\/795. Let o = 30 - d. Find the common denominator of 114\/(-20) + 1 + -1 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -9\/5, 4, -3\/7, -484, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (43 + -200)\/(-1 - (-10)\/12). Suppose -o = 8*m - 2414. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, h: 7}. What is prob of sequence huuu?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/4*s**3 + 13\/4*s**2 + 3*s = 0. Calculate s.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 3*s - s + (1 + 4 - 3)*(-4*s - 3*s + 5*s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 4*i - 4*i + (-7 + 5 - 5)*(2028 + 36*i - 2028) to k + x*i and give x.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(5\/3)*p))\/(p\/p**(1\/4)))**(-19)\/((p**(-1\/4)\/p)**(-4\/25))**45 assuming p is positive.\nAnswer: p**(443\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*6\/(-8)*-1. Let y be (16\/(-24))\/(2\/(-3)). What is the smallest value in 2\/7, z, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23870 is divided by 87.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 divided by -2026.\nAnswer: -323\/2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, -908, -1397, -1920, -2483, -3092, -3753, -4472?\nAnswer: -5255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 9*a**4\/4 + 77*a**3\/3 - 59*a**2 - a. Differentiate p(d) with respect to d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -880 + 879.059. Let z = -149.141 - j. Let d = -131 - z. Round d to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + 6*(2*-1*sqrt(192) + -4) + -3 + 2)**2.\nAnswer: 4992*sqrt(3) + 28324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -39930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 - 7*w**3 + 2*w**2 + 6*w + 15. Calculate the remainder when v(21) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 4*x - 113 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*c + 13, -d - 5*c = d + 26. Let r(a) = 4*a + 4 - 2*a - 8. Let o = -24 + 29. Let v(k) = 3*k - 7. What is d*v(l) + o*r(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 2516.\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 3*y - 3*y + (-y + 3*y - 3*y)*(1 - 1 + 2) + 4*y - y - 2*y - 2*y + 3 - 3 + (2 - 2 + 1)*(-y - 17 + 17).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 + 726 = 155*y - 584 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4669136685 to the nearest integer?\nAnswer: 68331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**3\/3 + 3*w**2\/2 - 9*w - 6. Let x be d(3). Let u = x + 34. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 234*v + 13. Is u(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -114, 832, 2352, 4446, 7114?\n\"Answer: 287*k**2 + 85*k - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -2*l**4\/3 + 5*l**3\/2 - l. Find the second derivative of c(z) wrt z.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 3*i = -15, p = 2*i + 5. Solve -2*l + 3 + p = -h, -2*h = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 0.12, 0?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-3)\/(-2)*-4. Suppose j + 156 = d*c, j + 1 + 3 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.938403 from -41916.\nAnswer: -41913.061597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 162, 207, 240, 255, 246?\n\"Answer: -s**3 + 52*s + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyccyyc. What is prob of sequence yc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -5*t - 35, -4*t = -2*w + 20. Let v(x) = -x - 4. Let k be v(-9). Suppose 0 = -k*d + 17 - 7, 3*a - 4*d - 10 = 0. Solve -a*b - w = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.154 (b) 5 (c) 4597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 34407537?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*o = -o + 9, 0 = -2*m - 4*o - 10. Let b(j) = -j. Let q = 26 - 22. Let p(d) = q*d - 3*d**2 + 77 - 77. Determine m*p(h) - 4*b(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8761 greater than or equal to -227821\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 + 18*w**2 - 4998*w\/11 + 4802\/11.\nAnswer: -2*(w - 49)**2*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {p: 2, b: 3, e: 4, v: 9, h: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = 5*b - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = 5*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 823b7?\nAnswer: 823b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1638930*m**5 - 18*m**3 - 2*m**2 + 9*m - 3756249.\nAnswer: 32778600*m**3 - 108*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1020 + 147?\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28752461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -487, -749, -1077, -1519, -2123?\nAnswer: -2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 637 and 1912547.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0655458 to three decimal places.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -2, -741, 4.\nAnswer: -741, -2, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - l = 0, 0 = 37*a - 38*a + 3*l - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(21\/5)*-3 + 1. Let x(k) = k**3 + k**2 - k + 2. Let l be x(0). Solve g = 2*i + l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 + 2 + -11 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318 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: Solve -221*h + 140*h + 12931 = 89*h - 3049 for h.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9\/h**(1\/15))\/((h*(h*h**(1\/32)*h)\/h)\/h*h*h**17) assuming h is positive.\nAnswer: h**(-4847\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*f = -f + 7, -5*f = -5*y - 10. What are the prime factors of y\/(-12) + 117\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-28)*(-1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -44*g**3\/3 - 26*g**2 - 8*g + 3. Suppose f(r) = 0. What is r?\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/10)\/(9\/36)*5. Let u(i) = -i**3 + 5*i**2 + 9*i + 3. List the prime factors of u(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/5, -0.396, -27\/4, 0.5?\nAnswer: -0.396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 125, 254, 385, 518, 653, 790, 929?\n\"Answer: t**2 + 126*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 + 2 = q, 5*m = -3*q + 12. Suppose -218 = -q*r + 298. Let n be ((1 - 5) + r)*160. What is n rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + k**3 - 7*k - 36*k + 18*k + 22*k + 37*k**2 to i*k**2 + d*k**3 + z + o*k and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/(-35) - (-58680)\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9 + 8*g**2 - 2 - g**3 + 0*g**3. Calculate t(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(20)\/(sqrt(18) + sqrt(2))) + (sqrt(1620)*1)\/sqrt(4))*5 + 0.\nAnswer: 65*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 370498 - 48164983\/130. Let j be ((-2)\/(-26))\/(2\/20). Let r = j + p. Find the common denominator of -145\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 173\/2. Let k be 0 + 6558\/2187 - 3. Let j = k - -41557\/2916. What is the common denominator of c and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1776 and 7244526?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 82*t**3 - t. Let p = 3 + -2. Let r be l(p). What is the remainder when r\/(-15)*80\/(-24) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebv when three letters picked without replacement from {s: 3, e: 5, j: 1, b: 6, m: 3, v: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 274 = -2*y - 292, -n + 106 = -4*y. Suppose 2 = -14*f + n. Solve f*v - 35 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 2 + 3 - y**4)*(0 - 6 + 3).\nAnswer: -6*y**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w + w. Solve -5*z + 0*z = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f. Suppose -1 = -l - 0. Let i be d(l). Suppose i*t - 10 = -a + 28, -5*t = a - 43. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.04256585 to three decimal places.\nAnswer: 3.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -38*r - 58. Suppose 0 = 234*y - 240*y - 48. What are the prime factors of x(y)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/63966160 and 77\/31983080?\nAnswer: 63966160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 5, -193.\nAnswer: -193, -8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 21 - 15 - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87\/760 + 1\/95. Let s = g + 11\/40. Let v = -8 + 9. Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-8136)\/30)\/(8 + (-324)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 33. Suppose 1180 = -q*y + 16*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 5. Let o be c(-5). Suppose -2*p + 60 = -s + 62, -s - 1 = -3*p. Solve 3*b + p = -o*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-4)\/(384\/(-1140)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let l be 0 - ((-4)\/(-10) - (-3)\/15). Which is the second smallest value? (a) m (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + 1*-1*sqrt(209))\/(sqrt(11) + -2*sqrt(1584)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 516 and 6.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + 34 + -68 - (0 - 3 - 23)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p + 1. Let y(s) = 4*s**2 - 4. Let m(x) = 4*x**2 - 5. Let h(o) = 4*m(o) - 5*y(o). What is z(h(b))?\nAnswer: -40*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 53*o**2 - 9*o - 32. What is p(53)?\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 329318032?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 9*d**2 + d - 23. Determine p(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*l - 63*l + 86*l)*(-7 - 10 + 3) + l + 4 - 4 to the form h*l + b and give h.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/6 + (-3)\/(-6). Let g be 11\/(-2) + c\/(-2). Let y(k) = -7*k. Is y(g) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b6a (base 15) in base 10?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*s + 917*s - 94*s + 15136 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:43 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q - 3. Suppose 3*o - 13 = -2*h, -o + 6*o - 30 = 5*h. Is t(o) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + 0)*6 - (-2*sqrt(75) + 2 + sqrt(192))**2.\nAnswer: -10*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d**2 - 9. Let w(y) = 18*y. Calculate w(u(p)).\nAnswer: 324*p**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14234 (base 15) in base 3?\nAnswer: 10021122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 5*h. Let g(z) = 16*z**2 + 26*z. Let u(x) = 2*g(x) - 11*n(x). Let d be u(-4). Let r(t) = -t + 3. Give r(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t**2 - t**2)*(-1 - 1 + 0 + 8*t) + (-7*t**2 + 7*t - 7*t)*(-2*t + 0*t + 3*t) + (42 + 7*t - 42)*(3*t**2 - 2*t**2 + 0*t**2).\nAnswer: -16*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 58*d - 62*d - 1668, -5*s - 2*d + 1626 = 0. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -2 - 1\/(1\/3). Calculate the lowest common multiple of q + (2 - 3)*-4 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = -11. Let h(z) = z + 10. Let d be h(-19). What is the tens digit of (i - -5)*(-24)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - x = 5*s + 1, 0 = 45*s + x + 18 + 32 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = i - 37, -8 = -3*i - 23. Is 14 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1247 and -25706?\nAnswer: 3205.5382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -959*w**2. Let d(t) = -251*t. Give d(y(b)).\nAnswer: 240709*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8312 - -8916.1. Let i = y + -612. Are 0 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4. Let i(s) = -s**2 + 8. Let m be -3*(-8)\/15 - (-24)\/60. Let h(c) = m*x(c) + i(c). Let a(w) = 125*w - 1. Give a(h(k)).\nAnswer: -125*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**5 - 2*u**5 - 2*u**5)*((0 - 6 + 2)*(-1 - 1 + 3) + (5 - 2 + 2)*(-4 - 1 + 3)).\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16587 is divided by 697?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 2, r: 7, q: 4, n: 6}. What is prob of picking 1 n and 1 q?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 = 9. Let n = t + 44. Suppose k - 30 = n. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141*l**5*w - 4*l*w + w wrt l?\nAnswer: 2820*l**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 985084673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -13. Calculate the highest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7411 = o - 60667, 6*o = 5*n - 133123. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 13*z**5\/20 - z**3 - 2*z. Find the second derivative of g(n) wrt n.\nAnswer: 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**3\/3 - k. Let f = 5 - 2. Let v(s) = 2*s**2 - f*s**2 - s**2. Give v(a(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2842 and 7199146934?\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - -7 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 + 10058*y**3 - 10745364*y**2 - 4941885448*y - 9840708944 = 0. What is y?\nAnswer: -341, -2, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 31323\nAnswer: 2\/31323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6849 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (2 - 1))*-23. Let w = 895 - 276. Suppose -19*i = -692 - w. Calculate the greatest common divisor of i and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 153 = 25*q. Let i(h) = -811*h + 99. Let y be i(q). Round y to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033928289 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13582, -41971, -70360, -98749, -127138?\nAnswer: -155527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75350 and 30.\nAnswer: 226050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*a - 25, 2 = 3*a - v - 27. Let d be ((-8)\/a)\/((-90)\/225). Factor 26\/3*i - 22*i**d - 2\/3 - 20\/3*i**4 + 62\/3*i**3.\nAnswer: -2*(i - 1)**3*(10*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*z - l, 3*z + 19*l = 28*l - 16*l + 11 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, g: 10, n: 2, y: 3}. Give prob of picking 1 y and 1 g.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 483174827 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 74 - 16 = 0. Suppose -36 = -7*g + 4*g. Calculate the greatest common divisor of g and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**0))**31\/((s\/(s\/s**(-4\/5)))\/((s**2*s)\/s)) assuming s is positive.\nAnswer: s**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48\/1*(-2)\/(-4) is divided by (8\/(-3) - -2)\/(8\/(-156)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 16*n**2 + 16*n**2 - n - n + n - 4*n**3 + (-5 + 3 + 0)*(n**3 + 0 + 0) in the form w + l*n + p*n**2 + d*n**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 70*y + 159 + 67 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102102 - -132?\nAnswer: 102300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-14)\/a*a*a*a\/a**(-1\/17)*(a*(a\/(a\/(a*a\/(a**(2\/45)*a))))\/a*a*a*a*a)\/(a\/a**4) assuming a is positive.\nAnswer: a**(-2284\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*j = -141, 4*f - 5*f = -j - 125. Suppose -k + 990 = 21*k. Calculate the remainder when f is divided by k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 39, 16, -0.1, 2\/19.\nAnswer: -5, -0.1, 2\/19, 16, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {n: 4, k: 5, j: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 + 0*c**3 - 1\/24*c**4 - c**2 - 1\/40*c**5 + 0*c. Determine j, given that r(j) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3174.786 rounded to the nearest integer?\nAnswer: -3175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 250712375 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, t: 3}. Give prob of picking 1 z and 2 t.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*(-13 - -6)*(-2)\/(-7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -28. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t**2 + 20*t - 23. Let k(i) = -4*i**2 - 7*i + 8. Let w = -168 - -185. Give w*k(v) + 6*d(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1444302?\nAnswer: 1444305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from reeeere.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1151 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2057 or -2058?\nAnswer: -2058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -451?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 2\/29 (b) -1\/12 (c) -5 (d) 0.4 (e) -72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10476)\/(-36)*(-6065)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 23.1?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336 + 66 - 2*u**3 + 270.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62621\/12 - 5213. Suppose v - 2*r = 4, -4*v - 5*r = -v + 21. Calculate the common denominator of (-1)\/((-172)\/(-85) + v) and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -5\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Suppose -5*b + 3*m + 140 = 18, y = m. Suppose -4*z = z - b. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 + (-2)\/(-1). Suppose 4*c = 0, -2*g - 21 = -5*g - q*c. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 822 - 717. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111111000 (base 2) to base 8.\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + 147158?\nAnswer: 147177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8022744 years to decades.\nAnswer: 0.08022744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54*(-2)\/8*-2. What is the highest common divisor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 + 1. Let k be f(1). Let b be 6\/87*7 + 9\/(-18). Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -12?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-2)\/2)\/1)\/1. Let f = l + 3. Let p = 3 + f. Solve 0 = -5*h + w + 5, -7 + 2 = -5*h - p*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 1. Suppose -15 = -3*f - s*z - z, -2*f = -4*z - 4. Solve 2*w - r - 1 = 0, -f*r - 1 = 5*w + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -101, -2 in decreasing order.\nAnswer: 2, -2, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297 - 200. Let i be 2\/(-1 + -7) - (-44086)\/376. Let y = i - p. What is the lowest common multiple of y and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*i - 9 + 341 = 0, -16 = 4*i. Suppose -2*u - 3*u = 3*o - 401, o - n = -u. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*f + 766 - 132 = -239 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prrrprfcrprrprrfrf. Give prob of sequence pppc.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -231, -190, -149, -108, -67, -26?\n\"Answer: 41*b - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 14\/3*a**3 - 9\/2*a**4 + 92 + 20*a**2 + 8*a. Factor r(o).\nAnswer: -2*(o - 2)*(o + 1)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 + -5 - -18) + (5 - 11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -0.16, 2542?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7007?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, w: 3, c: 4}. Give prob of picking 2 v.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3.943, -0.09, 29?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = n + 68. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-4 + 3) - (-110)\/10. Let y be ((-4)\/i)\/(3\/(-630)). What is the highest common factor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1794 and 421291?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-342) + (-10)\/3 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = -5*w, 3*o - 3 = -2*w - w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052100 (base 8) in base 4?\nAnswer: 1011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62231*r**6*t - 2*r**2*t + 4217*t + 1 wrt r.\nAnswer: -7467720*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 1.8. Let q = -29 + 34. What is the nearest to -3\/2 in -2, q, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -0.26. Let r = -21.28 - x. Let m = r - -18. Which is the third smallest value? (a) m (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*n + 634 - 12 = 46 - 404 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 193044, -5, 2 in decreasing order.\nAnswer: 193044, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 176*u**2 - 173*u + 92. Let t be h(-87). Solve -4*c - 2 = t*g - 11, 2*g = -c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (49075\/(-10) + 6)*-2. Let v = -421547\/43 + n. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 4. Let b = 52 - 51. Let q be g(b). Suppose q*k = 9*k - 6705. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33763092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5235 (base 7) to base 8\nAnswer: -3457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3351\/20 + 1513\/10. What is the common denominator of 23\/11637 and s?\nAnswer: 46548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**3 + 4*a**3 + a**3 + a**2 - 2*a**3 as n + x*a**2 + r*a**3 + m*a and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 130649 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1500 and 270750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n - 28. Let u be (-6)\/(-21) + (-2)\/n. Solve 5*x + 0*x = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1586\/143 + 2\/(-22) + -3. Suppose 0 = -s - 4*s + 4*y + 6, -2*y + p = 3*s. Solve s*w - x = 6, -4*w = 3*x + 1 - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-32) + (-85)\/(-4). Let y = g + -16. Suppose y*p = -4*b + 243, 4*b = -0*p - p + 55. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -3. What is the least common multiple of (-15)\/(-2) + s\/(-6) and (-1 - -1 - -4) + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**2)\/d)\/d)**34)**(-16\/3) assuming d is positive.\nAnswer: d**(-544\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.88 - 0.18. Let c = 8.6221 + -9.322. Let b = x + c. What is b rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -7*q**8\/2880 - 23*q**5\/60 - 6*q**2. Let w(u) be the third derivative of k(u). Let p(l) = -l**2. Calculate p(w(j)).\nAnswer: -2401*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 32. Let p = 38 + -18. Let j = p - h. What is the highest common divisor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3764 + 7 + -3 + (-1 - 7). Suppose -3*u - 507 = 3*c, -4*c = -0*u - 3*u - 500. Let y = u - m. What is y rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/12 + 1697*x**2\/12 - 17045*x\/12 + 14225\/4 = 0 for x.\nAnswer: -1707, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + v + v)*(-747 - 8*v**2 - 11866*v - 11867*v + 23733*v) as d + s*v**3 + x*v + i*v**2 and give x.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*((i*i**(6\/7)\/i)\/i)\/i*i))\/i**(1\/4))\/(i**24*i\/(((i**(-2\/11)*i)\/i)\/i)))**(-18) assuming i is positive.\nAnswer: i**(72873\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + 5 + (0 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 467*u**6\/60 - 317*u**3\/2 - 466*u**2. What is the derivative of l(a) wrt a?\nAnswer: 2802*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*z - 26. Suppose 0 = -w - 3*g - z, -3*g - 40 = -4*w + g. Calculate the highest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10680 and 3736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 2\/11, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7700*k = -7696*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245514 is divided by 247?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + 2. Let y(i) = 2*i + 11. Let v be y(-11). Let j = v + 10. What is the smallest value in j, 1, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19*n = -3915. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1997 = 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by -27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/12 - u**3\/6 - 3*u**2\/2 - 2*u. Let m be o(-3). Differentiate m - 5*d + 10*d + 2 - 3 with respect to d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*l = 38*l + 9337 + 7918 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 5*h**3\/6 - 5*h**2\/2 - 47*h. Let r(b) = b**2 - b + 1. What is 5*r(y) + x(y)?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 46 - (-488 - -524)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 14944424.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let w(x) = -9*x**2 + 3*x**2 - 5*x**2 - 4*x**2. Calculate w(u(q)).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106.73 - -27.27. What is the nearest to -2\/7 in v, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 5*t - 1. Suppose 0*g - 3*g = -3*j + 18, -9 = -2*j - g. Suppose 5*n + 36 = -9. Let x = j + n. What is b(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 20, 2, -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-5)*w**2*w*(w*w\/w**7)\/(w*w**(2\/3)*w)*((w*w*w*w**2)**46)**(-33) assuming w is positive.\nAnswer: w**(-22796\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -84, -178, -288, -402, -508?\n\"Answer: 2*w**3 - 26*w**2 - 2*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((5 - 1 - 17) + 7 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.3 (b) 2\/9 (c) 3 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 1 + sqrt(2448) + -1)**2 + 3*(5 + 0 + sqrt(17)) - (5 + 3*-5*sqrt(1088)*2).\nAnswer: 243*sqrt(17) + 9802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 8 - 4)*(6*j**2 - 5*j**2 + 0*j**2 + (4 + j - 4)*(4*j + 0*j - 3*j))*(-77*j**2 - 3946*j + 3946*j) as l*j + g*j**2 + k + b*j**3 + m*j**4 and give m.\nAnswer: -2002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 3*q + 4*q + 299 = 14*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399000 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8962, -9541, -10120, -10699, -11278, -11857?\nAnswer: -12436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 65*d + 102. Calculate a(30).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 1. Let g = 20 - f. Suppose q - 4 = 0, 6*b - 2*b - 2*q - 80 = 0. Calculate the smallest common multiple of b and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-34) + (-828)\/102 + (19 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(891)*1 + 3))**2 - (-1*3*sqrt(11) - (-1 + sqrt(44)))**2.\nAnswer: 1954*sqrt(11) + 32124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10132 a factor of 1651586924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 + 26 - 3)*(2*z**3 - z**3 - 3*z**3) in the form b + k*z**2 + m*z + y*z**3 and give y.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-14) - 1\/7*-1. Factor a*r + r**2 + 4*r - 3*r.\nAnswer: r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 49*t + 842. Give w(-18).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c + 87. Let f(t) = -t**3 + 29*t**2 + 31*t - 26. Let n be f(30). Let v be l(n). Solve -57*d = -v*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-1800)*8 + (-134)\/105\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 + 3 = 0. Let b = h - 2. Suppose -b*u - s + 15 + 12 = 0, -3*u + 5*s + 5 = 0. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-10))\/((-1)\/(-2)). Which is the nearest to f? (a) 0.5 (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 788 - 522. Suppose -3*w - f = -0*f - y, 4*f - 263 = -3*w. What are the prime factors of w?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 24*u**2 + 2*u + 55. What is the remainder when 62 is divided by f(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 23431*m**3 + 3*m**2 - 8*m + 5. Is c(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {i: 1, h: 3, b: 1, m: 3, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120) - sqrt(120))*-4)\/(sqrt(6) + (sqrt(864) + 1*sqrt(864) - sqrt(864))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.64 - -11.343. Let j = 0.017 + m. Let i = j + -11. Sort -2\/7, i, -3\/4 in decreasing order.\nAnswer: i, -2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 38 + 28. Which is the nearest to -0.2? (a) k (b) 0.059 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 23*q**2 - q + 99. Calculate the remainder when 300 is divided by d(23).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20325.\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/27)*x*x\/((x\/x**(-1\/12))\/x)*x)\/(x*x*x\/(x**4*x)*x*x*x\/(x*x*x*x\/((((x\/(x*x**(-3)))\/x)\/x)\/x)*x)))**(1\/35) assuming x is positive.\nAnswer: x**(151\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1\/2))**46*m\/((m*m**(-2\/7)*m)\/m*m)*m**(-1\/2)\/m*m)**(1\/38))**(2\/3) assuming m is positive.\nAnswer: m**(949\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-44))\/((-1)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421745802.\nAnswer: 2, 3, 23, 3056129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 630*n - 112. Let v(c) = 28*c - 5. Let p(z) = 5*u(z) - 112*v(z). Determine p(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -1\/3, 19166, 1, -0.1?\nAnswer: 19166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/9 + (-3 - 7\/(-3)). What is the remainder when (-2 + h)*5 - 2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvvzzvzzvzvz. Give prob of picking 2 z and 1 v.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107719067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + d**2 - 3*d + 2. Let h(o) = 5*o**3 + 8*o**2 - 19*o + 5. Let j(r) = 4*f(r) - h(r). Calculate j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*u - 41380, 0 = 8*u - 7*u - 3*l - 10339. List the prime factors of u.\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 10*w - 448. Suppose -4*n + 17 = 161. Let z be 3\/n*w\/6. Sort -5\/3, 2, z in decreasing order.\nAnswer: 2, z, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t - 194*t + 64*t + 1 + 64*t.\nAnswer: -13*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -707*s + 709*s - 9, s - 3*o + 13 = 0. Solve s*g = -7*h + 8*h - 5, 4*h - g - 13 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/120 - j**4\/12 - 2*j**3 + 3*j**2. Let x(b) be the first derivative of w(b). List the prime factors of x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -662 - -662.0000586. What is y rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*i + 25*i + 18. Let z(w) be the second derivative of w**5\/20 + w**4\/6 - w**3\/3 + 5*w**2\/2 + 2*w. What is the units digit of z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8493997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 - (6 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 4164423. Let l(a) = -a**2. Calculate u(l(r)).\nAnswer: r**2 - 4164423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1337.2 rounded to the nearest 10?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137075?\nAnswer: 5, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2507\/13 - -193. Which is the third smallest value? (a) 4 (b) -1\/6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 + 7 = 3*x, 2*p = -5*x + 33. Let q be (p\/5)\/((-4)\/690). Let y = 210 + q. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 23*n = -77280. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4042870*o*t**3 - 2303*o*t**2 - o + 2*t**2 - 3*t + 1 wrt t.\nAnswer: -24257220*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276022797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -b + 26738, -53443 = -2*b - 726*k + 727*k. What are the prime factors of b?\nAnswer: 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**(2\/15)*d)\/d)**(18\/7))**31)**(-49))**(2\/121) assuming d is positive.\nAnswer: d**(-5208\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220334, 220335, 220336, 220337, 220338?\nAnswer: 220339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 11) in base 15?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -42 (b) 13 (c) -12 (d) -10\/3 (e) 3 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -26 - (27 + (1 - -1)) - -8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1371*a**2 + 2531*a**2 + 14*a - 17*a + 3*a.\nAnswer: 3902*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -396 - -385 - (0 - ((-4 - 2) + 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 100. Suppose r = -q - q + 598. What are the prime factors of q?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p. Let x(a) = -a**3 + 4*a**2 + 7*a - 3. Suppose 11 = -i - 4*j, -3*i - 5*j - 5 + 0 = 0. Let u be x(i). Let z(y) = -3*y + u*y - 2*y. Give l(z(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3)\/j)**46)**(-31))**(2\/31) assuming j is positive.\nAnswer: j**(460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108572296 to the nearest integer?\nAnswer: 10420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 232757 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*v + 30, -5*a + 4*v - 21 + 47 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -25. Which is the third smallest value? (a) s (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (7 + (-11 - 21)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 356925954 * -0.5.\nAnswer: -178462977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 6*g**2 - 3*g - 6. Let m(v) = -6*v**3 + v. Suppose t + 4*t + 5 = 0. Let i be m(t). What are the prime factors of j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 2. Let d be h(7). Let n(u) = u**3 - 16*u**2 + 13*u + 24. Let w be n(15). Sort 0, d, 3, w in descending order.\nAnswer: 3, 0, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n + 10. Let m = -6 + 3. Let h be c(m). What is the highest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(40)\/sqrt(8) + sqrt(5))**2 + -3 + sqrt(20).\nAnswer: 2*sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 87*u - 4113. Give n(47).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453841 is divided by 215?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o**2 + 4*o. Let u(a) = 480*a**2 + 162*a. Let y(z) = -120*z**2 - 41*z. Let f(j) = -2*u(j) - 9*y(j). Determine -4*f(d) + 45*n(d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8389.08 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*c**4 + 2*c**3 - 19*c**2 - 271*c - 6144567.\nAnswer: 32*c**3 + 6*c**2 - 38*c - 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + ((-544)\/(-5))\/(-4). Let d = -26 - r. Is 0.1 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 32. Let a = -16305 + 16303. Let n(q) = -q + 8. Determine a*d(i) - 9*n(i).\nAnswer: 3*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2205*n**4 - 9030*n**3 + 9665*n**2 - 860*n + 20.\nAnswer: 5*(n - 2)**2*(21*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - -2.1. Let z be (-1)\/(-5) - 2\/((-520)\/(-92)). Which is the closest to 1? (a) -0.1 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -6975, 4, -4, 1 in decreasing order.\nAnswer: 35, 4, 1, -4, -6975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 58 - (2 + (-4 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.73 - -0.27. Let r be ((-1)\/6)\/(4\/(-8)). Let q = -0.1 - -0.3. Which is the closest to 1? (a) r (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**4\/12 - 25*s**3\/6 - s**2. Let h(q) = -36*q - 5962. Let d(k) = -5*k - 813. Let v(w) = -44*d(w) + 6*h(w). Calculate z(v(a)).\nAnswer: 8*a - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/4 (b) 0.2 (c) -0.07 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 12*g + 7*g)*(-g + g - g**3) - 2 + 3*g**4 - 13 - 5*g**4.\nAnswer: -18*g**4 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*i - 65, -5*i + 10*i + 20 = 0. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38672449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 141434 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 3*h - 9. Let g = 34 - 46. Let b(z) = 2*z + 29. Let u be b(g). List the prime factors of x(u).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/(-336)*2052\/(-494)\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2332 - -2331.95. Put -17, 3, c, -2, 2 in descending order.\nAnswer: 3, 2, c, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -14 - -15) + (0 - 7) + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 152*u - 150*u - 4. Let v(r) = -8*r + 204*r**u - 412*r**2 + 209*r**2 - 4. Determine v(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43358 or -1729?\nAnswer: -43358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1 + 26*a - 4*a**2 + 3*a**2 - 34*a. Let n be u(-2). Solve x - 5 = 2*k, -3*k - 6*x = -2*x + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times -38246?\nAnswer: 1376856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12182 and 69.\nAnswer: -12113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*m**3 - 470*m**3 + 236*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16206 (base 7) to base 12\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 4*i + 2*i**2)*((5 - 3 - 4)*(-2*i + 5*i - 5*i) + i - 4*i + 2*i + 0*i + 7*i - 3*i) in the form c*i**2 + q*i + z*i**3 + a and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let a = -188\/9 + 176\/9. Let l = -0.18 - -0.38. Sort l, a, g in increasing order.\nAnswer: g, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - x**2 + 2*x + 2*x**2)*(-7*x + 13*x - 12*x)*((1 + 4 - 3)*(x - x + x) + x + 1 - 1).\nAnswer: -72*x**4 - 36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140919811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*s**3*x**3 - 40*s**3*x**2 + 4*s**3*x - 94*x**3 wrt x.\nAnswer: 168*s**3 - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1 + (-2 + 3 + 0)*(-3*j - 2*j + 6*j) + 3*j - 4*j + 3*j + 12*j - 9*j + 3*j)*(14 - 19 + 13).\nAnswer: 88*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -7, -13, -33, -73, -139?\n\"Answer: -i**3 + 2*i**2 + 3*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/3 + 63*n**4 - 21741*n**3 + 2328323*n**2\/3 - 2824358*n + 2069928 = 0.\nAnswer: -378, 1, 3, 37, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -60*p + 267 + 270 - 819 + 278. What is a(1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 + 3*j**2 - 8*j - 5. Let g(v) = v**3 - v - 1. Let d(a) = 6*g(a) - z(a). Give d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(77)*-3 + sqrt(77) - sqrt(77))*-5)\/(sqrt(224)\/(sqrt(16)\/sqrt(2))))**2.\nAnswer: 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/2, 1\/12, 7\/103, -17 in increasing order.\nAnswer: -17, -3\/2, 7\/103, 1\/12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6484701 (base 10) in base 8?\nAnswer: -30571335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q + 143*q = 0. Find the common denominator of -79\/3495 and q.\nAnswer: 3495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4390 and 119\/1040.\nAnswer: 456560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-95 - -6) + -28 + (-8 - -28)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 16 = -j, -26 = 3*x + 337*j - 336*j for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 45*a**2 + 19 + 26*a - 10 + 26 + 9*a. Let z(k) = k**2 + k + 1. Give 3*s(l) - 105*z(l).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 14*k - 24.\nAnswer: -2*(k - 4)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -75, -110, -143, -174, -203, -230?\n\"Answer: b**2 - 40*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -28.79. Let q = -0.01 + i. Sort -0.2, 0.5, q in decreasing order.\nAnswer: 0.5, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 12*a + 56. Let c be (4 - 1) + (0 - -11). What is the greatest common factor of c and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1601613*r**4 + 20732305347*r**3 + 7442503614*r**2 + 890561476*r + 35521080.\nAnswer: -(r - 12945)*(117*r + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67829002 - -5?\nAnswer: -67828997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = 5*d. Let z(q) = -2*q + 2*q - 2*q + q. Does 2 divide z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 3\/5 (c) 4 (d) 6 (e) 1\/24238\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157319 is divided by 585.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00785100382 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02161009 to four decimal places.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)*(s*s*s**3\/s*s*s)\/s*s*s)**(-3\/5) assuming s is positive.\nAnswer: s**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pla when three letters picked without replacement from {p: 3, a: 5, l: 8}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b + 5 - 12 - 6*b**2 - 6*b + 10. Let k(t) = 16*t. Calculate x(k(s)).\nAnswer: -1536*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 41 + (0 + 2 - 5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8678602 is divided by 15722?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 490443*b**2*j**2 - 711*b*j**2 + 699 wrt b?\nAnswer: 980886*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-8)\/24)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*a = 83*a + 5*k - 29, -3*a = -5*k + 18 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12451*c**4*f**2 + c**2*f**2 + 3*c*f**2 - 3511*c*f - 2*c + f**2 wrt c.\nAnswer: 149412*c**2*f**2 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/7, -21, 1.\nAnswer: -21, 1, 19\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -210434\/18777 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 10315521?\nAnswer: -10315552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 410*z - 307*z - 206. Solve 2*m = -z*x - 6, 3*m - 14 = x - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-68))\/((-10)\/80*3). Are q and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*s - 8 - 5*s + 6)*(1 - 1 - 1)*(-15 - 5 - 7).\nAnswer: -648*s - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 4*j. Suppose -c + 84 = -2*w - 10, 267 = 3*c - w. What is the remainder when c is divided by q(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.028, 5941, -33, -2 in ascending order.\nAnswer: -33, -2, 0.028, 5941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266152?\nAnswer: 2, 17, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -7, -5, -177, -2\/3, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 + 7*k**4\/6 + 17*k**3\/6 - 7*k**2 - 3*k. Calculate the remainder when 45 is divided by l(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1218234, 2436473, 3654712, 4872951, 6091190?\nAnswer: 7309429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8247 divided by -439?\nAnswer: 8247\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Suppose 16 + 140 = -5*p - 2*n, l*n = 4*p + 114. Let d be (4\/3)\/((-20)\/p). Calculate the greatest common divisor of d and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10671, -20355, -29059, -36783, -43527?\n\"Answer: 490*k**2 - 11154*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2343*v**4 - 2*v**3 + 2*v**2 + 2*v + 647 wrt v?\nAnswer: -56232*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 837242 and 63686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) 24 (c) 2 (d) -5 (e) -16591 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*c - 8*t, -32*c - 13*c + t = 65*c + 225 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**4 - 9681*b**3*d**3 - b*d**3 + b*d**2 - d**3 - 310*d + 1 wrt b.\nAnswer: 72*b**2 - 58086*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 285*u**3 - 3*u**2 - 615*u wrt u.\nAnswer: 1710*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 29530?\nAnswer: -29533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3*k - 72. Let a(q) = q**2 + 4*q + 72. Determine 3*a(c) + 4*n(c).\nAnswer: -c**2 - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 155836, 311672, 467510, 623350?\n\"Answer: f**2 + 155833*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28a2591 (base 11) to base 4.\nAnswer: 103000020323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 211891890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a5 (base 13) to base 12.\nAnswer: a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7869 and 3483?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 529114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqqsqqq. Give prob of sequence qqss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = 3. Is z smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4506 and 1086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 + 46220*m**4 - 323985*m**3 - 1850420*m**2 - 2035220*m = 0. Calculate m.\nAnswer: -9251, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5878 divided by -4.\nAnswer: 2939\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4\/12 - 39*m**2. Let x(z) = 6*z**2 + 2*z + 2. Let u(y) = 12*y**2 + 5*y + 5. Let t(q) = -2*u(q) + 5*x(q). Give n(t(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.196 - 2.899. Let v = 2.944 + p. Let z = v - 1.3. Round z to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 11*l**2 + 14*l + 9. Let d be b(10). Let o be 168\/d - (-4)\/7. Find the first derivative of 0*v - 2 - o + 0 + 4*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6629.14 nanometers in kilometers?\nAnswer: 0.00000000662914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*x + x - 39, -3*x + 34 = -b. What is the remainder when 30 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. What is the tens digit of (-1)\/((4\/35)\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 2*z + 1. Suppose -4*n - 4*n = -0*n. Suppose n = -32*q + 27*q - 5. What is v(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(4\/(-6))\/(-1) + 0. Solve -4*x + 8 = -4*u, -n*x - 5*u = x + 34 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65160 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -2, -5 in decreasing order.\nAnswer: 1, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 27 = -3*r - 17, r + 4*s = 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938834 is divided by 234700.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 2)\/(-10 - (2 - 10)). Let g(v) = -2*v - 4. Let c be g(-4). Suppose 0 = -c*b - 16, -3*n = -4*b + 5*b + 13. Put r, n, 5 in increasing order.\nAnswer: n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mixm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85777537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 31376?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + h**3 - 34903*h + 34903*h - h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1))**(-1\/40)*(k\/(k**(2\/31)*k))\/k*k*k\/k**7)**(-13))**(-35) assuming k is positive.\nAnswer: k**(-85540\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5978 and 1568?\nAnswer: 95648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708 + 744 + 20 + 0 + 16.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007974861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 5*n**2 + 2*n - 5. Let f be h(-4). Solve -t - 11 = -2*q, -5*t - 24 = -3*q + f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535090 to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = 14*m - 2261. What is the remainder when m is divided by (-12)\/8*(0 + -10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.7 times 23.5?\nAnswer: -4034.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18412 (base 12) in base 14?\nAnswer: -cb4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232 - 15?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3002 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*r - 55. Let d = r + 101. Calculate the remainder when (-5 + 65\/15)\/(2\/(-435)) is divided by d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44390 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*v**2 + 12*v**2 + v - 26*v**2.\nAnswer: -v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200433431 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1 + -1)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 49 = 71. Suppose -3*r + 10 + w = 0. Solve -3*n + m = r, -4*n - 22 = -2*m + 5*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-36)\/(-24))*(-37 + -39).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.05, 2, 5\/2, -4\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 705335 and 20?\nAnswer: 2821340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {l: 8, p: 5, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 891 and 4293.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568496, 1136995, 1705494, 2273993, 2842492, 3410991?\nAnswer: 3979490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53227, 53235, 53243, 53251, 53259?\nAnswer: 53267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -183, -98, -21, 48, 109, 162, 207?\n\"Answer: -4*o**2 + 97*o - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 38 = 21*r - 5*o, -3*o = 18. Solve 50*g = 51*g + 2*c + r, -2*g - c = 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(-6*r + 7*r - 2*r) + (3*r - 2*r + r)*(-6 + 1 + 3) + (2 + 2*r - 2)*(24 - 27 - 21) to w*r + s and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19.18 from 14322.\nAnswer: 14302.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*w)*(0*w**3 + w**3 + w**3 - w + (0*w**2 + 2*w**2 + w**2)*(-w + 0 + 0) - w**3 + w**3 + 2*w**3).\nAnswer: -2*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3)*(-30)\/(-35)*7. What is the nearest to 2 in -0.3, -4, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 266*v - 56. Let c(p) = 14*p - 3. Suppose -12*h + 14*h - 112 = 0. Let n(k) = h*c(k) - 3*u(k). Let x(z) = 2*z**2. Determine x(n(s)).\nAnswer: 392*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*27\/225*-2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 5. Let m = 1 - a. Suppose 7*c = -2*d + m*c + 22, -3*d = -2*c + 5. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = v + 28*v - 577 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**4 + 2*g + 1\/15*g**6 + 0*g**5 + 0*g**2 + 0 - 2\/3*g**3. What is the second derivative of r(w) wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206936125.\nAnswer: 5, 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39777 - -39777.00019871. What is z rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*r - 20171 = 603. Let j = -528 + 884. Let g = r + j. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7878, 15741, 23604, 31467, 39330?\n\"Answer: 7863*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*c + 20 - 7 = 13. Is 6\/331 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 34 = -4*u. Let m be 2*2*(-18)\/(-4). Solve 5*l - r = 6, 2*l - u*l - 2*r = -m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.55 + 11.75. Let z = 1 + -1. Suppose n - 5*j = -z*j + 10, -3*n - 5*j - 10 = 0. What is the closest to 0 in k, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*b - 264 = 323*b. Calculate the remainder when 315 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*k + 358*k + 4360 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 5)*(-7*c + 4*c + 15*c) to z*c + m and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 17*w**2 - 7*w - 44. Suppose 3*i = 4*i - 2*u - 18, -3*u - 54 = -3*i. Is r(i) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-510)\/12)\/(-17)*20*4\/(-50)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (2 + sqrt(175) + sqrt(7))**2 + sqrt(28) + -4.\nAnswer: 26*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**8\/420 - i**7\/210 - i**6\/45 - 7*i**3\/3 - 1. Let w(q) be the third derivative of j(q). What is s in w(s) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.1684 and 40041.4?\nAnswer: 40037.2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2*-1*sqrt(352) - sqrt(352))\/sqrt(8) - (sqrt(3564) + 1 + sqrt(396)\/(sqrt(27)\/sqrt(3)))))**2.\nAnswer: 576*sqrt(11) + 57040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/5)\/((-7)\/(-5)). Let o be (28\/84)\/((-3)\/(-12) + (-6)\/18). Let u = 5 - 2. What is the biggest value in m, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 459 - 536. Let a = n + 80. Let -3\/7*g**2 - 3\/7*g + 0 + 3\/7*g**a + 3\/7*g**4 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -357 + 273. Let m be (-3)\/(-5)*r\/(-42). Which is the nearest to 0.1? (a) 2\/19 (b) 0.1 (c) 1\/5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1360, -1713, -2068, -2425?\n\"Answer: -j**2 - 350*j - 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 574885 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:12 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 10*c**2 - 8*c + 16. Let l be g(11). Let f = l + -50. Is (-1)\/(-3*f\/(-2055)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11290\/128706)\/((-15)\/(-38)). Find d, given that 200\/9*d - 5000\/9 - t*d**2 = 0.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (48 - 2) - (7 - -7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 211*q - 4761. Determine u(19).\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 52915*-0.1\nAnswer: -5291.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 10 + 9 - 11*f)*(-9 - 8 + 11).\nAnswer: 66*f - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -26, -8\/7, 4\/13, -4, -0.1, 0, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 23*q - 474. Let j(t) = 19*t - 475. What is -5*d(l) + 6*j(l)?\nAnswer: -l - 480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1621 = 8*u + 1557. Solve -65 = 5*j + u*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 19 = -24. Calculate the greatest common divisor of t and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + 74 - (-2 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*2)\/(sqrt(20)*-4) - (sqrt(2736) + 0 + ((sqrt(2736)*-1)**2 - sqrt(2736)) + (5*(sqrt(2736) + sqrt(2736) + -1 + sqrt(2736)))**2).\nAnswer: -618361 + 3599*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t + 15. Let r(u) = 10*u + 10. Let z(n) = -5*a(n) + 8*r(n). Let q be z(-1). Put 5, 2, -2, q in increasing order.\nAnswer: -2, q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t. Let c(r) = -1650*r**2. Give c(d(k)).\nAnswer: -6600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/60)\/((-1252)\/275440)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215906, 863569, 1943008, 3454223, 5397214, 7771981?\nAnswer: 10578524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let m(o) = 37*o**2 - 5*o - 5. Calculate 5*a(z) - m(z).\nAnswer: -37*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - i, -4*l + 11 = i - 2*i. Suppose 5*w - l*o + 0*o = -19, -5*o = -3*w. Let y(m) = m**3 + 5*m**2 + 2*m. Give y(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + sqrt(176))*3)**2.\nAnswer: -6480 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 2*k**2 - 4*k - 6. Let c(o) = -o**3 + 3*o**2 - 5*o - 5. Let q(t) = -3*c(t) + 2*w(t). Let m(p) = p**3 - 4*p**2 + 6*p + 2. Give 5*m(a) - 4*q(a).\nAnswer: a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -127, -125?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 252, 250, 246, 240, 232?\n\"Answer: -m**2 + m + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(128) + (sqrt(128) - (sqrt(128) + 1*sqrt(128) - sqrt(128))*-2) + 0)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -177536.952 rounded to the nearest 10?\nAnswer: -177540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:45 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2314?\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1118.5 - 1118. Let m = -1.9 - -2. Let d = -0.9 - m. Which is the closest to 0.2? (a) -4\/7 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esnssesesswsddwew. What is prob of picking 1 w, 1 d, and 2 s?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -46542, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5.5. Let y = -0.5 + q. Which is the closest to y? (a) 5 (b) -3\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n + 4*w - 308, n + w - 152 = 0. Solve -13*f - 17*f + n = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*(-2 + (-3)\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -519*a**2 + 554519*a - 554519*a as h*a + g + b*a**2 and give b.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 95*x + 2 - 51*x - 30*x - 5 - x**2. Calculate f(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - 2*b**4 - 2*b**2 + 5*b**3 - 4*b**3 to the form s*b**4 + u*b + o*b**2 + k + g*b**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = 20, 0 = 3*u - 5*x - 3604. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6319*a**2 + 8*a - 8*a - 1992*a**2 + 0*a as o + k*a**2 + t*a and give k.\nAnswer: 4327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 169, 170, 171, 172, 173?\n\"Answer: w + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 24. Suppose 4*d - 9*d = 0. Suppose -2*h = -d*h - w. Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g**2 - g + 11*g**2 + 5*g + 1 - 5*g. Let q = 3 - 9. Let s(k) = k**3 + 7*k**2 + 7*k + 7. Let m be s(q). Calculate p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8)*(8 - 4). Is 7\/4 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 224841223845271 - 0.06.\nAnswer: 224841223845270.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2860\/(-26) - 2\/(-1). Let w be (-183)\/(-1332) + 9\/s. Let b(m) = -m**3 - m**2 + 2*m - 1. Let r be b(1). Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -228\/5 - -46. Is -1\/2 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 345*l**2 + 381*l**2 - 2099*l - 1073*l**2 + 2 + 349*l**2 as y*l + h*l**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 470 times -20569\nAnswer: -9667430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.413 + -0.027. Let x = -1.64 - h. Let a = -7.5 + 1.5. What is the closest to 0.1 in a, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 12678\/11?\nAnswer: 12678\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvrw when four letters picked without replacement from {w: 2, r: 3, v: 2, u: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122109645 a multiple of 857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 5. Let j be f(-8). Let v = j + 3. Solve 0*s - 5*s + 15 = v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m + 9. Let c = -17 - -33. Let o(a) = c + 13*a + 0*a - 6. Let j(x) = 6*g(x) - 7*o(x). Differentiate j(i) wrt i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (47 - 39) + (0 - -3)*-1. Calculate the remainder when (-248)\/(-2) + u + -14 + 3 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203748611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -51. Let r(f) = 43*f**3 + 3*f**2 - 4*f + 2. Does 4 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 30576.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 75 + -1 + (-4 - (0 + -12)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 5*k**2 + 22*k + 67. Let i be y(-3). Let n = 343\/12 - 41\/4. Which is greater: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/23218 and 38\/11.\nAnswer: 255398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351594 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: Suppose -5*m - 5 = 5*f, -2*m + 3*f - 2*f = 14. Let b = m - -3. Does 6 divide b*(2 - 1)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295343 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {d: 1, v: 4, q: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n + 10 = 0. Suppose w + 14 - 15 = -h, 0 = 5*h + 4*w - n. Put -1, -5\/3, 4\/5, h in ascending order.\nAnswer: -5\/3, -1, 4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*p + 19 = -y + 229*p, 3*p + 55 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -3. Let n = 10 - r. Which is smaller: n or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 + 10*d + 8. Let w be b(-6). Let r = -26 - -102. Let m = w + r. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**3*r**3 + 472*l**3 - 82*l**2*r**3 wrt r?\nAnswer: 6*l**3*r**2 - 246*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 + 12*h**4 + 16*h**3 - 12*h**2 - 18*h.\nAnswer: 2*h*(h - 1)*(h + 1)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 8. Put q, -6, 0.1 in decreasing order.\nAnswer: 0.1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 3. Let v(g) = 23 - 8 - 9 - 5 + g - 2. Give -f(z) - 3*v(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 127. Suppose 4*b - 14 = -3*v - 69, 5*v = 3*b - k. What is the common denominator of -17\/11 and (-4)\/(-10) + v\/(-26)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let r be 2 + -12 + 3 + -2. Let d = -6 - r. Let s(b) = d*b - 2*b + 2*b - 4*b. Calculate s(t(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.15519745.\nAnswer: 0.15519745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 3 (c) -8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/34933890 and 26\/302895?\nAnswer: 104801670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36953101495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 (base 10) in base 8?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5 + 4 - 5 + 3*i**2 + 5*i + i. Let c = 7 + -12. Is l(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12.4. Let m = -3.4 + g. Let v = -6.2 - m. Sort 1, -4, v, -0.4 in increasing order.\nAnswer: -4, -0.4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 512190 = -5*z - 20*z. Is 112 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4645453?\nAnswer: 419, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -0.3, 0.3, -57, 2, -345, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*i + 14, 4*w + 2 = -4*i - 6. Suppose -5*t = l - 3*l + 196, -168 = -i*l - 2*t. What is the remainder when l is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/6644 and 26\/41525.\nAnswer: 166100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*p**3*q**3 + d*p**3*q - 13*d*p*q**2 - 8*d*q**3 + 2*d*q - 2*q wrt q?\nAnswer: -6*d*p**3 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/6 - m**2\/2 + m. Let a(s) = -10*s + 15. Suppose -264*h + 749*h = 7275. Give h*y(r) + a(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2563989 and 1221?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/7 (b) 7 (c) 1\/9 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116888, -116908, -116948, -117014, -117112, -117248?\nAnswer: -117428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 72358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6058 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + 5.03. Let n be 1300\/1400*(0 + 2). Which is the second biggest value? (a) n (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/8 + 535*n**2\/8 - 2209*n\/2 + 3885\/2.\nAnswer: -(n - 518)*(n - 15)*(n - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u**5\/13 + 14*u**4\/13 - 18*u**3 + 346*u**2\/13 + 300*u\/13 - 288\/13 = 0 for u.\nAnswer: -8, -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-145)\/(0 + -3 + 2 + 2). What is the remainder when 4 - 0 - (q + (5 - 5)) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900, 2599, 5144, 8535, 12772?\nAnswer: 17855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (45 - 8) + (-7 - 0 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -61. Does 2 divide (f - (2 - 3))\/(6\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + z**2 - z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131091\/11 - -11918. Put -3\/4, 6, w, 2\/11, 4 in ascending order.\nAnswer: -3\/4, 2\/11, w, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/45*3)\/(-2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11183, 0, -26, 3 in decreasing order.\nAnswer: 3, 0, -26, -11183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 5470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*v + 2, 0 = -5*s - 0 + 5. Suppose -5*o + 5 + 5 = v. Solve 4*n - o = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 14*o**2 + 9. Let h be k(-7). Let s be (-4 + 1)\/(1\/(-3)). What is the greatest common factor of h and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-13.827\nAnswer: -152.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0241 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (444\/2368)\/(2\/4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 858\/(-66) - 27\/45*5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -4. Let v(p) = p - 4. Let n be v(g). Suppose -n*f = -f, 4*i - 72 = 5*f. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 1. Suppose -3*t = -t - i - 10, 2*t - 26 = -3*i. Let b be h(t). Solve 0 = 4*z + 2*p + 18, 2*p - 6*p = b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 40. Let i be m(-10). Let h be ((-230)\/i)\/(4\/14). Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -27. Let a(j) = -j**2 - 26*j - 115. Let l be a(-10). Calculate the greatest common divisor of k and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l + 539 = -15*l - 853 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 2*r = 176. Let y = -51 - r. Which is greater: -36 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 2)*(-434)\/(-8). Let i = -4483 - -4857. Let m = u + i. What are the prime factors of m?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.32 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*s + 9*s - 1 + 53*s)*(2 - 2 - 2*s).\nAnswer: -200*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 67?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26714 and 584896.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 8, 68*n - 72*n = 4*x + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 + 4*f. Let h be (3\/(-6))\/(0 - 3\/18). Suppose -h*q - 2 = -2*q. Does 8 divide c(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.7969 to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 315, 447, 401, 177?\n\"Answer: -89*g**2 + 399*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 316 - 312. Solve 5*y = -4*q - 21, 4*y + 21 = -3*q + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 40*j**2 + 14*j + 19. What is the tens digit of v(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1838980 < -1838979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*i + 81*j - 78*j, -2*i - 9 = 3*j for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 113*w**2 - 3450*w.\nAnswer: w*(w - 138)*(w + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(432) + -1*(sqrt(432) + 1) - (5 + 0 + sqrt(432)))*-2)**2.\nAnswer: 672*sqrt(3) + 1924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 658.7 + -658.6975124. What is d rounded to 5 dps?\nAnswer: 0.00249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*r**3 - 989*r**3 + 335*r**3 + 331*r**3 - 159*r**2 - 159*r**2 + 318*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 2*(-15)\/10. Let t = h + 22. Let x(u) = -2*u - 2. Let w be x(-3). Solve -w*g - t = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -20 - (-360 - -400)) + 9\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 26 = 3*r, -26*r + 15 - 4 = -27*r + 20*y for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**3\/3 + 5*f**2\/2 - 6*f + 2. Suppose -3*g + 0*g + 5 = -4*q, q = g. Calculate d(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - q - 41 - 32 = 0, -3*q + 131 = -4*g. Let v be -4 + 1 + (-90)\/g. What is the second smallest value in 4, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q + 2*q + 110 = -29*q + 790 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103490.8868 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5705771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 460\/460*-6*7\/1470.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 20*p**2 + 74*p + 25. Is j(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48283?\nAnswer: 53, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*f + 257*f**4 - 257*f**4 - 25*f**5 wrt f?\nAnswer: -500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 - 693 = -8*n. Calculate the remainder when n is divided by 62.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183540 and 54180?\nAnswer: 23676660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7843296564.9 - -7843297494.90309966. Let u = q - 928.6031. Let w = -1.4 + u. What is w rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 81 = -v - 0*m, 0 = 2*v - m - 162. Suppose -v*p = -77*p - 188. Let s(z) = z**3 - 6*z**2 + 9*z - 8. Let h be s(6). Is h at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (-4*sqrt(88)\/sqrt(4))\/(sqrt(2) + sqrt(16)\/(2*sqrt(8)))))**2.\nAnswer: 80*sqrt(11)\/3 + 929\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {d: 4, t: 14}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.256 and -0.3?\nAnswer: 0.6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 303241054.2 to the nearest ten thousand.\nAnswer: 303240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4457)\/(-13) + 2\/13. Suppose 0 = -3*h + 4*h. Suppose h = 5*g - l - 232. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 164\/6 - (141 - (-15577)\/(-111)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 35*t + 1209 = -29*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -253. Let l = -183 - -251. Calculate the highest common divisor of z and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 19*t**2 - 31*t + 40. Is 76 a factor of s(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*t - 76*t**2 - 175*t + 201*t + 79*t**2 - 241*t.\nAnswer: 3*t**2 - 404*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 - 5*l**3\/3 + 4*l**2 + 8*l - 2420. Let b be -1 + 1 - (0 - -19). Let m = 13 + b. Calculate w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 23 - 6 = -4*i, -5*i + 16 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(162)*1 + -1)*3)**2.\nAnswer: -162*sqrt(2) + 1463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (279\/496)\/((1\/(8\/(-6)))\/3)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let m be b(0). Suppose 0 = -4*l + 12, m = -0*g + 5*g + 4*l - 12. Suppose g = 4*s + s. Is -1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -19. Is (-3)\/3*s*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y + 7*y + 3*y**2 + y)*(-3 + 8 - 4 + 9).\nAnswer: 30*y**2 - 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17270 (base 8) in base 4?\nAnswer: 1322320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 5, -2\/11.\nAnswer: -0.3, -2\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + (-143 - 1) + 58.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*b - 40. Suppose -4*p + 34 = 5*l, -4*l + 5 = -p - b. Let q = -0.0236 + -0.3764. Are q and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 - 1279\/4. Put m, -3\/7, 0.1 in descending order.\nAnswer: 0.1, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774.089g in kilograms?\nAnswer: 0.774089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 29*x + 7. Let p be b(-3). Let h = 203 + p. What is the highest common factor of 82 and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (11 + -6 + -14) - -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122447973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 224*j**2 + 17*j. Let y(z) = -111*z**2 + 8*z. What is -6*q(a) + 13*y(a)?\nAnswer: 6*a**3 - 99*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -11. Let t(r) = 10*r**2 - r - 2. What is the remainder when t(-2) is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -11\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 384.544\nAnswer: -384.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.8. Let l = -0.05 - 0.15. Let m = l + t. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (675*h + 381 - 1343*h + 669*h)*(-3*h + 10*h + 0*h).\nAnswer: 7*h**2 + 2667*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {r: 1, f: 7, k: 2, c: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*a + (-a + 2*a - 2*a)*(4 - 5 + 0) - 5*a + 2*a + a)*(2*a**2 + 0*a**2 + 556*a - 573*a) in the form d*a**2 + u*a**3 + b*a + q and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*r - r - 19, -3*r = -5*y + 25 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965236?\nAnswer: 2, 3, 109, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 23*h**2 - 22*h - 15. Calculate k(-22).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87a (base 13) to base 3.\nAnswer: 1222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.4 - -3. Let g = q + 2. Let s = 0.25 + -0.05. What is the second biggest value in g, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-72 - -22) - (1 + -1 + 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -1\/5*x**3 + 9\/50*x**6 + 12\/25*x**5 - x + 1\/4*x**4 + 0 + 0*x**2. Factor c(j).\nAnswer: 3*j*(j + 1)**2*(9*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -3)\/((72316\/(-707) - -102)*(-1)\/(-3))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*o - 18. Let n(f) = 12*f - 3. Let v(s) = -6*s + 1. Let t(h) = o*n(h) - 5*v(h). Let x be t(-1). What is x rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3059654 millennia in years?\nAnswer: 305.9654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7901343 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*n = 4*n - 101, -5*j + 3*n - 102 = 0. Let l = j + 29. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84 + -103 - -183) + (-2 + -52 - 2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39098, -156867, -353334, -628499, -982362, -1414923?\n\"Answer: -39349*l**2 + 278*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -168?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6002 + -4922. Calculate the least common multiple of 1 and n.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1770 and -7\/7080.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -485 and 0.1.\nAnswer: -48.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266970 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3 + 3*r - r**2 + 2*r**3 - 3*r - 2*r. Let c be z(2). Suppose x - 143 = c. What is the highest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -21*i + 21. Let p be d(-7). Calculate the greatest common factor of p and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8444, -4397, -25802, -55771?\nAnswer: -94304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 = -3*o - c, 5*o = -2*c - 3. Suppose -v = -2*m + v - 8, -4*m + 16 = 4*v. Suppose 2 = -5*t + 12. Solve -t*w = y - m*y + 7, -w + y + o = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*j + 3*j. Let f(k) be the first derivative of k**3\/3 - 4*k**2 + k - 7. Let c be f(j). Let d(a) = -a**3 + a - 1. Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2269 = -5*g - 2*h, -5*h = 5*g - 8*h - 2259. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 15 + 10. Let s be (d - 5) + (1 - -10). Suppose -6172 = 3*l - s*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = 0, -4197*y = -6*p - 4199*y + 36 + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + 5*r + 6*r**2 + (2*r**2 - r**2 + 0*r**2)*(-2 + 3 - 3).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242961.713 milliseconds in weeks?\nAnswer: 0.0020551615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 10664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 39 = -3*d. Solve 0 = d*p - 5 - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0 + 0)*(-41*f + 8*f**2 + 41*f)*(-399 + 237 + 319).\nAnswer: 2512*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -4. Suppose 41 = 4*a + h - v*h, -h = -a + 9. Suppose -4*r = -q + a*q - 21, 3*q = r + 6. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 + 240. Solve 5*b = -5*m - 45, -n*m + 0*m = 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -447 - -404. Put -3, -5, r in ascending order.\nAnswer: r, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.55 + -0.5. Let h = -0.05 - z. Let k = 15 + -13. Put 0.3, k, h in descending order.\nAnswer: k, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*v - 10 - 8, 5*r = -2*v - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 + 19784*z**2\/9.\nAnswer: -2*z**2*(z - 9892)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 - 6*q - 35. Give y(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 4*p**2 - p**4 + (2*p - 2*p + p)*(p**3 + 4*p**3 - 4*p**3) + p**4 + p**4 - 4*p**4 to m*p + k*p**3 + o + i*p**2 + c*p**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-10 - 12\/4). Suppose -5*i + 848 = -i. Let a = i - k. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180) + sqrt(500) + -3 + sqrt(500))**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134073*g**3*j + 106355*g**3 wrt j?\nAnswer: -134073*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 829*y + 829*y - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(2871\/132))\/(-1*(-8)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h + 20 = 671. Solve 6 = -2*t + y, 5*t + y + 2*y - h = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -31448959.\nAnswer: -4\/31448959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7 = 2*k - 0, -3*r + 5*k + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 4. Let b be o(-19). Suppose 0 = -6*t - 9 - b. Find the common denominator of 97\/8*t\/6 and 99\/46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -3. Is ((-158)\/(-4))\/((-2)\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 35 = -5*o. Calculate the highest common divisor of 125 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.124, 7, 1\/3, -81, 2\/7?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3995, -3994, -3993, -3992?\nAnswer: -3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 9*m = -4*w, -2*m - 25 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26413 (base 16) to base 11\nAnswer: -a77a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - -3132?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let w(z) = -675*z**2 + 105*z. Let i(a) = 13*a**2 - 2*a. Let v(n) = -105*i(n) - 2*w(n). Give v(o(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 549601953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r**2 + 3*r - 3. Let u be b(3). Suppose -4*k - 925 = -1037. Calculate the highest common divisor of k and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/5 (c) 1\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + -2*sqrt(1900))**2 + (1*sqrt(2052))\/((sqrt(21) - sqrt(21)*-1)\/sqrt(7)))*-6 + 2.\nAnswer: -45616 + 222*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * 2.3.\nAnswer: 0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454538 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6367 (base 14) to base 4.\nAnswer: -10023313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1293\/8*r - 1299\/4 + 3\/8*r**2.\nAnswer: 3*(r - 433)*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/88091 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let n be j\/(-5) + (-22)\/(-5). Differentiate 6*y - y - n*y - 2 with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2202 or 6042?\nAnswer: 6042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + x - 7 = -0*f, -5*f - 3*x = -1. Let o(s) = 5*s**3 - 2*s - 6. Let v(g) = -g**3 + 1. Determine f*o(u) - 6*v(u).\nAnswer: u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 16*d**2 + 1. Let c(o) = -14*o**2 - 8*o - 4. Determine c(t) + x(t).\nAnswer: 2*t**2 - 8*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 150*t + 1000.\nAnswer: 5*(t + 10)*(t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -66\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1241 + 1242. Let m(q) = 6*q**2 + q - 1. What is m(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9922.333 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovchok. What is prob of sequence ko?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -49*a**3\/2 + 22*a**2 - 150*a. Is i(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717023.6 litres in millilitres?\nAnswer: 717023600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002581978878 rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/6 - 1286*o**2\/3 - 90995*o\/6 + 381668\/3 = 0. What is o?\nAnswer: -2536, -43, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(4\/5)*b*b*b)\/b)\/b)\/b*b**(-1)\/b)**(-39) assuming b is positive.\nAnswer: b**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2131*g**3 - 4290*g**3 + 2145*g**3.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23036 and 80626.\nAnswer: 161252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.8. Let w = 202\/15 - 44\/3. Which is the third smallest value? (a) k (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 12. Suppose -z - 4*q = -a - 12, 0 = 4*z - 5*q + 8. Suppose -z*b = -b. Is 0 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*l = 2*l + 10*s - 282 + 87, 0 = -l + 3*s - 16 - 43 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 3, d: 3, j: 12}. Give prob of picking 2 d, 1 b, and 1 j.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 22*y**2 + 2*y + 58. What is k(-6)?\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 24 = -4*u + 20, 5*u + 15 = 5*c. Suppose 5*x + 36 = -4*i, -3*x + 8*i + c = 3*i. Let d(g) = g**3 + 3*g**2 + g. Calculate d(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 100111010120000210?\nAnswer: 100111010120000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**2 - 4406240*s + 4406235 = 0.\nAnswer: 1, 881247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkg when three letters picked without replacement from {i: 3, q: 1, k: 7, g: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6324 and 11346?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**3 + 10*k**2 + 5. Suppose -12*o + 37 - 121 = 0. Let q(z) = 5*z**3 - 5*z**2 - 3. Calculate o*q(s) - 4*c(s).\nAnswer: s**3 - 5*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(3 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -293 divided by 1143\nAnswer: -293\/1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -68*m + 171912. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 778541339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 15a?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 + 21 = 0. Let v(o) = -o**2 + 5*o - 1. Let b be v(y). Let r = -43\/70 - -9\/10. Which is bigger: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b1 (base 13) in base 15?\nAnswer: -5d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:09 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 71 (b) -2 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.038 - 39.962. Let v = 292 + -332.19. Let t = v - f. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*11224\/92*(-9)\/(180\/2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 247595?\nAnswer: 247594.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -206400 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1857 + 323*i**2 + 1857 as a*i**2 + h + f*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23170 and 620822813.\nAnswer: 620799643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15416 by 6.\nAnswer: 7708\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -846 (base 13) to base 9.\nAnswer: -1836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14054935249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 18 = -j + 3*a, -5*a + 23 = -j. Suppose -3 - 1 = -j*w. What is the third derivative of f**w - 2*f**4 + f**4 + 0*f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12535475 a multiple of 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmr when four letters picked without replacement from {n: 3, m: 2, r: 1, g: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*k - 78*k - 115*k in the form l*k + d and give l.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198.5 - 837.04198372.\nAnswer: -638.54198372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -786.\nAnswer: 2\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930706?\nAnswer: 2, 3, 23, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0542347 times -5\nAnswer: 0.2711735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 452 + 368 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 19. Let p be f(-13). Suppose 0 = -11*k + p*k + 375. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14410102 (base 6) to base 8.\nAnswer: -1716466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omm when three letters picked without replacement from {o: 1, s: 3, z: 3, e: 1, m: 5}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1382 + 4137 - 1375 - 1380 - 20925*d)*(1 - 3 + 4).\nAnswer: -41850*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*f - 17*f + 14*f)*(-4*f + 6 + f**2 - 146 + 149) to k*f + d*f**2 + l*f**3 + o and give k.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 1 = 2*l, -5*l + 3 = -6*b + 9*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/6 - -5)\/(-2). Suppose u = -3*j + 2*b + 59, -2*j + 6*j - 88 = 5*b. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 384.916 + -385. Let g = 5.084 + m. What is the smallest value in g, -0.2, 2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g - 26 + 26)*(g - 6*g + 2*g)*(-55*g - 26*g**2 + 55*g).\nAnswer: -1014*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9756.903 grams?\nAnswer: 9756903000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i*i)**(-1)*((i\/(i**(-7)\/i))\/i)**(-34))**(-1\/41) assuming i is positive.\nAnswer: i**(275\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 - 6. Suppose 6*v + 16 = 58. Let f = 6 + -2. Let q be 6\/f + (-72)\/(-16). Let w(d) = 5*d**2 + 7. What is q*w(u) + v*j(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b + 2*c = -30, 3*b - 5*c = -16. Let p = b + 10. Suppose 349 = 3*n - 5*g, -2*n + 6*n = p*g + 469. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {c: 5, f: 4, x: 1, t: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fefffffeff.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77097\/829)\/(9\/(-3)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 15*x - 35. Let p(v) = v**3 - 3*v**2 - 3*v - 1. Let t be p(3). Let u be w(t). Solve h = -4*h + u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:56 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 6, 0 = -13057*s + 13052*s + 4*x + 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 7*f + 1. Give s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.81 - 0.19. Let g = f - -51. Let l = 25.0275 - g. Round l to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 10?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -18. Suppose -2*s + p = -1. Solve b + 12 = -s*a - 2*b, 0 = 3*a + 5*b + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, w: 2, r: 2, q: 2, c: 1, e: 8}. Give prob of picking 1 q and 3 e.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 6*u**2 + 5*u. Let r = 1 - 6. Let h be z(r). Let k = -2.81 - -2.91. Are k and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -34. Let m(d) = -31*d + 63*d - k*d. Let r(j) = 11*j - 2*j - 2*j. Give m(r(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmm when three letters picked without replacement from mfgfmgggh?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3)\/(61 - 63)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 10) to base 2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssussss?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 20*g**2 - 36*g. Let n be p(-18). Suppose 320 = 3*v - 9*t + 4*t, n = 2*v + 2*t - 224. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131? (a) -3 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*b - 18, 3*b - 5*f + 180 = 239 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8*32\/(-60))\/(32\/(-48)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -10864475546.5853.\nAnswer: -10864475546.6853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52691678 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 34*x - 5. What is z(5)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.146 - 30.1. What is the closest to -3\/5 in 4, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -124?\nAnswer: -3\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 1, k: 1}. What is prob of sequence sbk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (156\/(-126))\/(-13) + (-379254)\/(-63).\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -18*o**5 + 102*o**4 - 62*o**3 + 10*o**2.\nAnswer: -2*o**2*(o - 5)*(3*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5115 - 5114.99994875. What is j rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335917*l**2 + 9*l - 11359 wrt l?\nAnswer: -671834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1257115 (base 9) in base 12?\nAnswer: -291a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187*i**6 + i**4 + 99*i**3 - 1862*i**2 + 47*i + 32 wrt i?\nAnswer: 22440*i**3 + 24*i + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**3 - 146*o**2 - 1018*o + 25568. Give t(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 2, a: 2, p: 1, u: 1}. What is prob of picking 1 e, 2 a, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*x = -3*f - 4, 0 = 4*x - 498 + 474 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let f(y) = y**2 - 9*y - 4. Let d(g) = f(g) - 4*t(g). Let m be d(5). Let o = -15 + 10. Is m equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 28*v - 4*u - 34, 0 = -v - 2*u - 10. Put 9, -5, v in descending order.\nAnswer: 9, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145660975 rounded to seven dps?\nAnswer: -0.0014566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 279*n*r**4 - n*r - 6*n + 75340*r**2 + 22117176 wrt r.\nAnswer: 1116*n*r**3 - n + 150680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 7552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:26 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-18)\/8)\/(12\/(-320))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.401 and 24.\nAnswer: 9.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318285*v - 299 = -318257*v - 1475 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/(8\/128)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(2 - 2 + 2*g)*(0 - 5 - 18)*(-6 + 5 + 0) to b*g + o and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*h - 263*h - 303*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-36)\/i*i*i*i**(2\/23) assuming i is positive.\nAnswer: i**(-803\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.5, 0.2, -1.36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 11342230*z.\nAnswer: -2*z*(z + 5671115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 0.03, -0.07, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u - 278. Determine a(15).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 9*b - 12 = -5*b, -b = i + 27 - 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3\/8 + 651*a**2\/8 - 55839*a\/8 + 55185\/8 = 0. Calculate a.\nAnswer: -283, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 177. Let z be x(45). What is the greatest common divisor of 350 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 + 7*b - 7*b - 1099*b**2.\nAnswer: -1154*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:39 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20971, -1\/5 in descending order.\nAnswer: 20971, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2463.59521 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (4 + -3 + (-9 - (-11 - -5)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -1\/5*p**2 + 0 + 0*p + 1\/5*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 41. Let w be (-6 - (-6 + 3))\/(k\/6). Solve -5*i + 9 = -5*l - w, -9 = 3*l - 4*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225319 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (66*52653\/(-8))\/(-21). Let s = p - 20683. Find the common denominator of 25\/8 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 11*m + 18. Determine z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - r**2 + 0 + (-29*r - 19*r + 14*r)*(-2*r - 1 + 1))*(5 - 1 - 2) + 4*r**2 - 3*r**2 + 0*r**2.\nAnswer: 135*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*i - 132*i = -35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3*1\/(-2) - 189\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*p, 3*a - p + 0 = 6. Suppose 36 = -0*o + a*o. What is the remainder when (-4)\/(-6) + (-97)\/(-3) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/5*(-2)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/559313?\nAnswer: -2\/559313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11405 + 11396. Which is the nearest to 1? (a) -3\/5 (b) -0.32 (c) -1\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-438)\/(-18))\/((-1827)\/378 - 153\/(-34))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h + 13. Let o(c) = 5*c - 3. What is 9*o(t) + 2*y(t)?\nAnswer: 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 12344, 4.6, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193578925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238738*f = -238734*f + 4*z - 36, f - 9 = z for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o = 18*o + 61474. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - 205?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248741 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + 4) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Suppose -9 = -2*k + 7. Let h = -9 + k. Which is the closest to j? (a) h (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17554*j**2\/21 - 140500*j\/21 + 544\/21.\nAnswer: 2*(j - 8)*(8777*j - 34)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 86*j**4 - 12638*j**3 - 65604*j**2 - 55312*j - 2432 = 0.\nAnswer: -4, -1, -2\/43, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + g)*(2 + 40 - 3*g + 17).\nAnswer: -9*g**2 + 177*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/25 in -1\/2, 2\/3, -0.192?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 11*c**2 - 6*c - 4. Let h be z(-6). Let w be 63\/h + 4\/(-16). Let y = -13 - w. Solve 4*p + 19 = y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**4 - 151*f**4 - 56*f**4 + (3*f - 3*f - 2*f**3)*(2*f - 5*f + 2*f) to the form v*f**2 + q + m*f + l*f**4 + h*f**3 and give l.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - -3 - (107 - (-125 - -250)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041569*f - 3*f**2 + 2083095*f - 1041526*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3055 <= -1344723\/440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, o: 5, k: 2, e: 7, l: 3}. What is prob of picking 1 a and 1 l?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - ((41 - (41 - 16)) + 0)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b - 72*b = -19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*153365\/9948\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-63)\/(-14))\/9*-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 4 (c) -0.1 (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 + 31*f**3 + 34*f**3)*(4*f + 3*f - 2*f).\nAnswer: 340*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.04 - 8.2. Let o = m - 0.24. Let u = -1.60000033 + o. Round u to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -306, -1367, -3142, -5637, -8858, -12811, -17502?\n\"Answer: -o**3 - 351*o**2 - o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*(16\/15)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1871430\/13 + -143956. Solve 12\/13*m**3 - 18\/13 + 16\/13*m**2 - 12\/13*m + n*m**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21310 - 21305. What is the highest common factor of f and 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13097 - 13093. What is the remainder when 98 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 964\/(-36) - (-1)\/(-2)*484\/(-126).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*m - 3*f, 2*m - 2 = 2*f - 6. Let i(a) = a**2 + 2*a + 2219. Is i(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*i + 155. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 - 97*x**4\/2 - 642*x**3 - 1537*x**2\/2 + 1865*x - 408 = 0. Calculate x.\nAnswer: -8, -3, 1\/4, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b - 14 = b + 64*b + 3*g, 4*g + 11 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21636914483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**4\/4 + 3*c**3\/2 - 7*c**2\/2 + 5*c. Let w be s(4). Let q(z) = 2*z - 3. Let j be q(-8). Do j and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 5851600?\nAnswer: 5851602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2331*a**2 - 148*a - 148. Let h(s) = 79*s**2 - 5*s - 5. Calculate -148*h(g) + 5*v(g).\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -172372.026 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*(-81)\/36 - 882\/(-1584).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 6}. What is prob of sequence bm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*w - 1941 = 93 + 304 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 2)\/(-4) - (-10)\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4284925658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00150517 rounded to 5 dps?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/208*1\/(645\/(-24))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l - 6. Let f be (-2 + 3)\/(5*l\/60). What is the highest common divisor of 56 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)*-1 + 0. Suppose -a*r - 2*q + 8 = 0, -5*q + 8 = 4*r - 2*r. Suppose -l + 196 = -2*g + 3*g, 0 = -r*g - 3*l + 779. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - 0 - (-5 + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3379*x**2. Let n(m) = 188*m**2. Calculate g(n(y)).\nAnswer: -119427376*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006669 rounded to six dps?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + v - 8. Suppose 5*n - 145 - 165 = -5*i, -5*n - 20 = 0. Suppose v*a + i = 2*g, 91 = a - 4*a - 5*g. What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22269.\nAnswer: 3, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 3*f - 14, -5*t + 2*f + 18 = 0. Suppose -6*k = -t*k. Find the third derivative of k*a**4 + a**2 + 4 + a**4 - 4 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*p**3*w - 2*k**3*p**2*w - 5*k**3 - 10*k**2*p + p**3*w + 2*p**2*w wrt k?\nAnswer: -6*p**3*w - 12*p**2*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 38823?\nAnswer: 38823.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 553 = -4*u, -4*j - 44 = -u + 68. Suppose 403*d = 400*d + u. What is the lowest common multiple of 16 and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 - 0\/5. Suppose -6*i = y*c - i - 67, 4*i - 8 = 0. Suppose -21 = 3*t - 57. What is the remainder when c is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = a - 95, 3*a + 4*h - 241 = -0*h. Let w = 121 + -71. What is the highest common divisor of a and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 + -6)*(-131)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22853)\/(-6))\/(14\/84) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 0, -2, -4?\n\"Answer: -2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1445191 and 1826.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1702 = 2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51580864 to the nearest integer?\nAnswer: 7182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238577 or -238578?\nAnswer: -238578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 26*l. Let h(g) be the second derivative of 5*g**3\/6 - 1979*g. What is h(p(j))?\nAnswer: 130*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1100 divide 51700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137903 is divided by 246?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*-6 + -2*sqrt(70)*6)\/((sqrt(240)\/(sqrt(12)*-4))\/sqrt(2)).\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 10, 0.051, -2\/13, 4\/5, -2\/17?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (-27 + (35 - -42))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1078 - -1084. Solve 45*f + j = 51*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -8 - (-72 - -37)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 660, 1000, 1340, 1680?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90478 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 j(w) = -2*w**3 + 17*w**2 + 10*w - 4. Let s be j(9). Find the third derivative of 16*n**s + 37*n**2 - 3*n**5 - 14*n**5 + 10*n**4 wrt n.\nAnswer: -60*n**2 + 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 10. Let k be y(6). Factor 49\/2*f**4 + 0 + k*f + 105*f**3 - 343\/2*f**5 + 38*f**2.\nAnswer: -f*(f - 1)*(7*f + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4*s - 226*d**2*s**2 - 456*d*s**2 wrt d.\nAnswer: 24*d**2*s - 452*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/3 - 902*u**4\/9 + 3572*u**3\/9 - 4864*u**2\/9 + 2680*u\/9 - 158\/3 = 0. What is u?\nAnswer: -79, 1\/3, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*t - 728*t + 3 = 5, -2*r + 2*t - 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 258.413 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 689, 1327, 1977, 2645, 3337, 4059?\nAnswer: 4817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1260\/(-40))\/(19\/(-494)). Put -3, p, 1 in increasing order.\nAnswer: -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(-27)\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What is (-1)\/4*57*(-114 - -118)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 4*q + 3. Suppose 2*i + 4*g = 3*g + 7, -2*i + 4*g + 2 = 0. Let b(x) = 0*x + 0 + x**2 + 1 - 2*x. What is i*f(y) - 7*b(y)?\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 3*o + 0*o + (2*o - 4*o - 5*o)*(4 - 1 - 1).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r - 1. Let v(g) = 7*g**2 + 5*g - 5. Let d(b) = 20*h(b) - 4*v(b). Let k(q) = 56*q**2 + 56*q**2 - 169*q**2 + 56*q**2. Give k(d(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzlzclzc. What is prob of picking 1 c and 3 z?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 539\/207 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1446051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 76706.97ms?\nAnswer: 76706970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2428579680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5623)\/(-8) - 12\/(-96) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.6 + -6.7. Let b = p + -3. Let g = 0.4 + b. Put g, 2\/9, -3 in increasing order.\nAnswer: -3, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 8 - 3*n + 0*n - 2*n. Let z be o(-11). What are the prime factors of 11 + -4 - (-2 + z + 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 24 = -2*t. Suppose 6*x - 2*c + 292 = x, t*c + 287 = -5*x. List the prime factors of x\/(-18) + (-8)\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2596 - -5087. What are the prime factors of f?\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/691488*-147)\/(-1).\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 + 2 = 2*v, 2*s - 5*v - 14 = 0. Suppose -7*n = -s*n - 30. Let r(d) = -d**2 - 8*d - 2. Let f be r(-7). Solve n = -f*u - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3\/3 - y + 3. Suppose q(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 8 = 0. Let p(j) = -j**3 + 3*j**2 + 5*j. Let d = 5 - 1. Let o be p(d). Calculate the greatest common divisor of q and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.2 - -2.4. Let n = q + 18. Let g = n - 11.19889. What is g rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*y + 1 = 3, -y - 6 = -2*v. Suppose -i - 4*p = -4, 4*i - 3*p + p = -v. Factor 0 + i*q - 1\/3*q**2 + 0*q**3 + 1\/3*q**4.\nAnswer: q**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 5*o**2 + 2*o - 5. Let k be y(5). Calculate the common denominator of (-42)\/(-105)*((-450)\/248)\/k and -133\/72.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 7. What is the nearest to r in -0.4, -4\/7, 0.05?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 10:51 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 247021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -9)\/((-202)\/11110 + (1 - 1)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1146 - 1126 - (38 + 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -365532 divided by 60922?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 + 5 = -5*n, 16 = -2*n - 2*v. Let q = 7 + -3. Put 5, n, q in decreasing order.\nAnswer: 5, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*c - 547, 3*y + 3*c + 79 = -233. Let x = y - -242. Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 3*b + 15 = 0, -3*y + 20 = -4*b. Suppose 5*f = -y*f + 40. Let d be (-4)\/f*-8 - 0. Solve d*m - 20 = -c - c, 0 = 3*c - m - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1434 or -68881\/48?\nAnswer: -68881\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**(-1\/3)*q)\/q)\/q)\/q)**(-2\/109)*(q**(4\/5))**32 assuming q is positive.\nAnswer: q**(41896\/1635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051 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: What is prob of picking 2 m when two letters picked without replacement from {m: 9, n: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 12 = 5*u + 2*g, 4*g = -20. Let t be 1 - (u\/(-1) + -3). Let a = t - -25. Solve 9*w - 4*w = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1\/2 (c) 0.5 (d) -3\/5 (e) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)\/y)\/y*y*y**(-1\/7))\/(y*y**(-4)\/y*y)**(23\/2) assuming y is positive.\nAnswer: y**(411\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.0537.\nAnswer: -0.0463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0 + 135*u + 0*u**2 - 1\/3*u**3 + 7\/12*u**4. Let t(l) = -85*l**2 + 25*l. Give 2*t(i) + 25*v(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02093 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2 - (-9)\/36?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 302666*u - 182. Let g be f(4). Let v = 2268482 - g. What is v rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -103996, -104049, -104150, -104305, -104520, -104801, -105154, -105585?\n\"Answer: -i**3 - 18*i**2 + 8*i - 103985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 6425534?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689579224 to the nearest integer?\nAnswer: 26260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1011001111110010110000 (base 2) to base 10\nAnswer: -2948272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than or equal to 7.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 21*o - 17. Calculate x(-18).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and 63.\nAnswer: 63.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:16 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-105)*1*15\/(-15)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -3233?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.2 - 30.2. Sort 0.3, d, 1, -2.\nAnswer: -2, 0.3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-14 - -39 - ((19 - 4) + -3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*1 + sqrt(76))*-4)\/sqrt(4).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 20639\nAnswer: 5\/20639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 5*z + 7. What is f(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g - g + 0*g)*(g + g**3 - g).\nAnswer: 2*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let n(p) be the first derivative of -p**2 + 19*p - 22. What is b(n(v))?\nAnswer: -2*v + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (136\/51)\/((-4)\/(-3)). Solve -25\/4*w**3 - 35\/2*w**a - 11*w - 2 = 0 for w.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*x + 0)*(-25 + 7*x**2 + 25).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let z = -2 + 0. Is f greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -344, -567, -818, -1091, -1380, -1679, -1982?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -698 - -697.9. Let g = -15\/161 + 1\/161. What is the second biggest value in -0.2, g, p, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oowr when four letters picked without replacement from {o: 4, r: 2, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 18\/(-4))*16. Let f be r\/80 + 6\/(-10). What is the closest to f in -3, 5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 11*p**2 - 10*p - 12. Let z be x(10). Let v = 10 + z. Find the common denominator of -3 + (124\/(-22))\/v and 48\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2612?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/3 + 3211*r**3 - 134710*r**2\/3 + 141092*r - 384760\/3 = 0.\nAnswer: 2, 10, 9619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3237 + 0.6763. Which is smaller: -396 or w?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.34 and -0.0306684232687?\nAnswer: 0.3706684232687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t*t*t\/(t\/(t**5*t*t)))\/(t*t\/t**2)**(2\/125) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -40 (b) 0.03 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*k + 2535, -13*l + 17*l - 2510 = 2*k. What are the prime factors of l?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -328*o - 364. Let w(l) = -219*l - 260. Let q(a) = -5*u(a) + 7*w(a). Let j(r) = 16*r. Determine j(q(d)).\nAnswer: 1712*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2829 and 10.\nAnswer: 28290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2589807 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6895985 = -269*n + 11568169 + 6758631. List the prime factors of n.\nAnswer: 3, 5, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9\/(h*(h*h**(1\/7))\/h*h))**(-3\/10) assuming h is positive.\nAnswer: h**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1024 - -1810. Suppose 183 = -4*k + 5*k + 4*r, -2*r = -4*k + d. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-12 - (-584)\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + p + 3 = -3, i - 13 = -2*p. Put -3, i, 0 in decreasing order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -7\/6, 1\/2, -1428, -101.\nAnswer: -1428, -101, -7\/6, 2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlflillfllliixllfxl. Give prob of picking 1 i and 1 l.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 5*r**2 + 6*r - 2. Let z be 1\/((-44)\/12 + 3)*-2. Suppose -4*s + 13 = z*q, -5*q + 3 = s - 4*q. Give f(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.8 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 10:03 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c)*(4 - 2 - 1) + (-3 - 3*c + 3 + (-1 + 5 - 3)*(3*c + 2*c - 4*c) + c + 3*c - 6*c)*(-4 + 5 + 2).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 111\/(-6) + (-1)\/2. Let s = z - -10. Is (-762)\/s - 2\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173960730*i**3 - 16*i**2 - 2987463*i wrt i?\nAnswer: 1043764380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1725523 and -69.\nAnswer: -119061087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31618 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264645 and 6.\nAnswer: 529290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7916424 is divided by 395.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24103965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 10 (b) -3 (c) -0.05 (d) -0.3 (e) 107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 6*g + 3*g)*(-1 + 1 + g) + (-6*g - 57 + 57)*(5*g + g + 5*g) to the form f + u*g**2 + n*g and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k. Let w(j) be the first derivative of j**3\/3 - 3. Let y(z) = z + 41. Let a be y(-8). Let d be (-22)\/a + (-14)\/6. Calculate d*w(u) - 2*h(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*w**5 + 59*w**4 - 17*w**3 - 2*w**2 + w + 18961 wrt w?\nAnswer: -540*w**2 + 1416*w - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -28 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 84 = -6*s. Suppose -92 - s = -2*u. Let k = -36 + u. Solve 4*m = -2*t - 8 + 2, k = -3*m + t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 490*m**2 - m**3 - 2*m + 488*m**2 - 5*m**4 to o*m + k*m**2 + l*m**4 + p*m**3 + y and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1146021\/7 and -163716 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-150)\/975 + (-186)\/(-26). Let l = 106 - 103. Solve -l*z + j = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 9*f**2 + 4. Let k be z(9). Suppose k*b + 0*b = -12. What is the biggest value in b, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 4) + (-17 - (-2 - 10)) - 79) + 13.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*2)\/((-8)\/(-20)). Let q = v - -10. Let u(y) = -y**2 + 8*y - 7. List the prime factors of u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 - 2*x**4 - 4*x**4 + (-x - 2*x - x)*(3*x**3 + 0*x**3 - 2*x**3).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1068 * -86.\nAnswer: 91848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14905459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -148, -0.17, -0.1, 0?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 280 = -3*i, 2*d = 2*i - 152 - 56. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33 and -8 - (-3)\/((-24)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + i - 2)*(0 + 2*i + 0)*(-3 - 4*i + 3).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 2*d**2 + d - 12. Let y be i(0). Let j(n) = -10*n + 7. Is j(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5*q + 3. Let x be f(7). Suppose -b - 408 = -7*b. What is the highest common factor of x and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3873 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/8)\/(1\/4). Let x be (-1)\/(-2) + (-255)\/i. Let g = -23 - x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -15.11. Let s = -6.7 - -7.59. Let w = s + m. What is the closest to w in 4, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 5*u - 3*u - 50, 117*q - 4*u + 75 = 7*u - 8*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 8 = -d + 2*j, d + 16 = -4*j. Solve -5*c + 5*k - 5 = -d*c, -c + 11 = 3*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 3, n: 3}. What is prob of sequence anv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(((-48)\/90)\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2536 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157742800 divided by 31548560?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 39 - 51. Let q(j) = -12433 - j**r + 12433. Let g(s) be the second derivative of -s**4\/3 - 2*s. Give q(g(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 3)*19\/3. Suppose -3*v + h - 1 = 0. Let d = -15 + 69. Calculate the highest common factor of v and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46357978, -46357977, -46357976?\nAnswer: -46357975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3600)\/(-1680))\/(2\/14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7271.134 millilitres in litres?\nAnswer: 7.271134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289990 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: What is (-9 - (-6)\/1) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2126*k + 19134. Let z be p(9). Sort -2, 149, z, -1, -4 in descending order.\nAnswer: 149, z, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrrvrryervr. Give prob of sequence ye.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -50276.623 to the nearest one hundred.\nAnswer: -50300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**4 + 2*j**3 - 2*j**2 + 1. Let g(o) = -10*o**4 + 5*o**3 - 5*o**2 + 2. Let a(y) = -2*g(y) + 5*w(y). Find the first derivative of a(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 51 = -13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135*h**4 - 12960*h**3 - 13050*h**2 - 4360*h - 485.\nAnswer: 5*(h - 97)*(3*h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5 + l**3 + 4 + 4. Let q be u(0). Suppose 13 = q*p - 41. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 32 = 2*n. Find the second derivative of y**3 + y**2 + n*y - y**2 - 12*y wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3873*s - 418878 = -85800 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(211 - 5*o**3 + 7*o**3 - 54).\nAnswer: 2*o**3 + 157","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 5470 + 5463. Let a(x) = 9*x - 1. Let g(q) = q + 1. What is m*a(l) - 6*g(l)?\nAnswer: 3*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2*(3 + -6). Does 3 divide 22\/8 - g\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*x - 306 = 59, 4*h = -x + 289. Calculate the greatest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9448, 21616, 33784, 45952, 58120?\nAnswer: 70288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-6)\/(-9)). Let c be (-1 + 1)*h\/(-2). Let r = -0.112 + 0.122. What is the smallest value in r, 0.1, c, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - (-1)\/(12\/28980). Calculate the greatest common divisor of g and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123475.0611 + -123518. Let u = c + 43. Round u to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3999984 = 5*p + 4*a, -2*p + 1954532 = 5*a + 354552. Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 50*b\/3 - 232\/3.\nAnswer: 2*(b - 4)*(b + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(704) - (3*3*sqrt(704) + sqrt(704)) - sqrt(704))**2 - (sqrt(704)*-2)**2*-6).\nAnswer: -349184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2)*n)**(5\/2)*(n**(-2\/3))**35 assuming n is positive.\nAnswer: n**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -g + 56, 25*k - 23*k + 5 - 2 - 36 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655051 is divided by 1167.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7 + (-150)\/(-1400)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -780694, -3122775, -7026242, -12491095?\n\"Answer: -780693*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 3:28 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 2*s**3 + 778 - 11*s - 778 to the form x + v*s**2 + g*s**3 + a*s and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*r*w - 23586*h**2*r - 2*h**2*w + 42*r*w + 1163*w wrt h.\nAnswer: 4*h*r*w - 47172*h*r - 4*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -149 (b) 37 (c) 2\/3 (d) -2\/21 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**2 - 4. Let x(v) = -v**3 - v. Let d(i) = m(i) - x(i). Let r be d(8). Suppose 3*a - 2 = -2*l + 6*l, 0 = -r*a + 8. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3655*1.\nAnswer: 3655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3736036*d**2 - 10004136*d wrt d?\nAnswer: 7472072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (2 - (11 + -9))) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 5, -2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-50)\/(-10))\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3 = -l, 312*l - 5*m - 13 = 315*l + 1 - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 120 = -0. Solve -5*j = -5*t + 10, 3*j + 3*t - c + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 + 0.03. Let k be -4*(5596\/208 - 8\/52). Which is the smallest value? (a) 3\/7 (b) 0.4 (c) m (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -957 - -607. Let u be 4\/(-10) - 61\/l. Let w = u - 3\/50. Sort -6\/7, w, -0.3 in descending order.\nAnswer: w, -0.3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9210 - 5226. Suppose 4*y + w = 3505, -398 - k = -5*y - 2*w. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -126 + (-4 + -5 - 3 - -14).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0 - 18\/5*d**3 - 3\/5*d**4 + 0*d**2 + 0*d = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21555, -3, 9 in decreasing order.\nAnswer: 9, -3, -21555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 318, 320, 322, 324?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 9248*c + 2342990.\nAnswer: 2*(c - 4355)*(c - 269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*s + 43*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 5*a**3 - a**2 - 3*a + 4*a**3 - 9. Let b be i(-6). Let q = 15 - b. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 13*k**2 - 15*k + 7. Let o be m(-14). What is the highest common divisor of o and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:33 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*d = -8, -3*k - 5*d = 1 + 9. Suppose k = 3*v - o + 3*o - 91, 0 = v + 2*o - 25. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9006 - 63041\/7. Which is the closest to -1? (a) 57 (b) 1 (c) u (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-416)\/(-10) + (-18)\/(-45). Let c be (-1 - -5) + -1*2. Suppose 4*h - b = -c*h. Which is greater: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3846 - -5?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 343 and 2.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/224)\/(-5)*-8*(-32)\/(-128)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 93.\nAnswer: -53\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -73. Let b = 20 + -2. Solve -5*h - 20 = s, -2*t - 5*h - 4 = b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1185, 1199, 1219, 1245, 1277, 1315, 1359?\n\"Answer: 3*n**2 + 5*n + 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 121482*s**2 + 0*s + 19628*s**2.\nAnswer: -101854*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/4 - 25*s**4\/6 - s**3\/6 - 4*s**2 + 223*s. What is the second derivative of n(h) wrt h?\nAnswer: -30*h - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-5) - (-5 + 3). Suppose 3*h = -0*h + 9. Which is the nearest to 2\/7? (a) 6\/11 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 9 (c) 0.29 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {v: 4, n: 1, c: 2, l: 2, w: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1, 4, -1151 in decreasing order.\nAnswer: 4, 1, -2, -4, -1151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (0 - 10 - -9 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s + 3*y, -44*s + 48*s + 3*y + 14 = 0. Put 106, 5, s in ascending order.\nAnswer: s, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/(-25) - (-15628)\/20. Suppose -9*b - h = -5*b - 1516, 5*h + z = 2*b. What are the prime factors of b?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-47)\/(-4*1 - -3) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4820 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 350*h - 182. What is the tens digit of x(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2 - c. Let x = 129 + -134. Let k(s) = 2*s - 9. Let o(g) = -4*g + 15. Let y(h) = x*k(h) - 3*o(h). Determine y(l(d)).\nAnswer: 20*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 213.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -0.3 (c) 4 (d) 96 (e) -8148 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m + 5*l + 270, 3 = -l. Let v(i) = 4*i - 2. Let u(g) = -3 - g + 9 - 7*g - 25*g + 11. Calculate m*v(c) - 6*u(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/6 - ((-7)\/(-2) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - (9 - (-16)\/(-1)). Let v(x) = 5*x**2 + 11*x - 11. Let n(t) = -t**2 - 2*t + 2. Suppose 0 = -4*i - c - 47, 5*i + c = -43 - 15. Give i*n(d) + y*v(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-28) + (-219)\/1533.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 2. Let w(m) = 4*m - 13. Let n(a) = -q(a) - w(a). Calculate n(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 78?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:20 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-225) - (-2908)\/(-450). Let s be 236\/(-10)*267\/1005. Let h = m - s. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 18.026. Let k = -2.026 + m. Let p be 4\/(-7)*1\/(-2). Which is the nearest to p? (a) 0 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 1 + 804*l - 839*l - 1 to the form y*l**2 + u + f*l and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431 (base 9) to base 8.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2\/3*q**3 - 1\/4*q**4 + 34 - 5*q + 11\/2*q**2. Let p be j(4). Solve 3*v - p = -y - v, -12 = -4*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5927010 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -26*g. Let z(q) = -30*q**2. Determine z(w(t)).\nAnswer: -20280*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 19.1, 10\/7, -8, 3 in descending order.\nAnswer: 19.1, 5, 3, 10\/7, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2091?\nAnswer: -2\/2091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/7)\/w)\/w*(w**35\/w)\/w*(w*w*w**(-3))**(-9\/7) assuming w is positive.\nAnswer: w**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 2.1868.\nAnswer: -0.32802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215*k**2*s**3 + 2*k**2 + 2*k + 17*s**3 wrt k?\nAnswer: -430*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97649.44 tonnes in grams?\nAnswer: 97649440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.024759 to one decimal place.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24391799.9509 - 24390584. Let x = 1216 - a. Let d = x - 0.053. Round d to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115684 times -10\nAnswer: -1156840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 24462 - 16783 - 36911 = 0. What is the highest common divisor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 27*p - 1. Let l(i) = 2*i. Give f(l(t)).\nAnswer: 54*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -43, -59, -77, -97?\n\"Answer: -u**2 - 11*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3911*z**6 - z**4 + 263*z**3 - 1157*z**2 - z + 219.\nAnswer: -469320*z**3 - 24*z + 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t**2 + 45*t + 126. What is the least common multiple of w(12) and 390?\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 = -1. Suppose 5*s + 2*q - 5 + 13 = 0, 0 = -3*s - 3*q - 12. Which is the smallest value? (a) s (b) k (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2830, -2909, -2988?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1228.8.\nAnswer: 6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 22 - 18225*r**2 + 18229*r**2 + 15*r as i*r + k*r**2 + p and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251787 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 2*m. Let n be w(-1). Suppose n = 11*z + z - 36. Calculate the remainder when 15 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5454 + 8840. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40\/3 - 38\/3. Let g be (85\/50)\/17 + (-555)\/50. Let s be (g\/77 + 11\/28)*-34. Sort j, s, 4, -5 in descending order.\nAnswer: 4, j, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217779 is divided by 217206?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208622*r**2 + 63846*r.\nAnswer: 417244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011849827 rounded to seven decimal places?\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*s + 415, 2*s - 8*w = -5*w + 163. Let m(d) = 11*d**2 + 3*d + 3. Let x be m(-2). Let h = s - x. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p - 71. Let c be m(-7). Is 6\/c + 222183\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2433479 from 0.\nAnswer: -1.2433479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**2\/2 + 8*j - 1. Suppose n - 96 = -3*n + 4*d, -5*d - 100 = -4*n. Suppose c - n = -3*c. What is x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/12 and 63\/306686.\nAnswer: 1840116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(110)\/(sqrt(10)*2) + (1 + sqrt(704) - sqrt(11))).\nAnswer: -45*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:33 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3815*l**2. Let u(h) = -3*h**2 + 48*h. Determine u(r(i)).\nAnswer: -43662675*i**4 - 183120*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6945, -13893, -20841, -27789, -34737?\nAnswer: -41685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12829.134 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8752321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 15. Let g be 2\/2 + -1 - 10. Let c be t(g). Solve 6*l - 3*l = -c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -686 divided by 862\nAnswer: -343\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:04 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 162357*n**2 - 162331*n**2 + 0.\nAnswer: 26*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/3 - 142*z**2\/3 + 432*z + 480 = 0.\nAnswer: -1, 12, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 306*m + 1. Let k(l) be the second derivative of 2*l**3\/3 - l - 10. Calculate k(a(t)).\nAnswer: 1224*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 9269.\nAnswer: -370.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m**2 - 4*m)*(-2*m + 1 - 1) - 1 + m**3 + 1 - 3*m**3 - 3*m**3 + 5*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 135*p + 404. Determine l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbjjbbbbbb?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 9. Let y be i(4). Suppose 8*g = y*g - 744. What are the prime factors of g\/18 - (-48)\/216?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6381513 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**7\/630 + 11*y**5\/30 - 22*y**2. Let c(u) be the third derivative of o(u). Let d(w) = 4 + w - 4. What is d(c(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 - 39*p + 101. Calculate k(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/40 - (5 - (-531)\/(-30)). Solve 4*q - 6*z - 7 = -3*z, 0 = -q - 3*z + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-10) - 3\/(-5). Suppose 2*n + f*n - 8 = 0. Suppose -8*w - 53 = -3*u - 4*w, n*w + 32 = 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/3 - 5140*m\/3 - 1147872 = 0. Calculate m.\nAnswer: -4348, -792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/2 - (-17 + -3). Suppose -4*d = 0, -5*a + 5*d + 7 = -j. Solve -5*w = -u + 14, -4*u = -w - a - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/605 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4620780 by -387.\nAnswer: 11940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 115, 188, 281, 400, 551, 740, 973?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21262 + 21262 + 183*t**3)*(-4*t + 5*t - 3*t) - 3*t**4 + t**4 + t**4 to the form w*t**4 + l*t**2 + b*t**3 + g + f*t and give w.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.436663 minutes in nanoseconds?\nAnswer: 206199780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18480 and 1626.\nAnswer: 5008080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(162) + sqrt(18)\/(sqrt(9)*-2 - sqrt(9)).\nAnswer: -28*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6354313.\nAnswer: 7, 907759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 412 + -392. What is the remainder when 1 - (1 + 0 + -78) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14.4, 0.03, 4?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpw when three letters picked without replacement from pwpppwwppwwwppwwppwp.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 5) to base 8\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9) - 86\/18. Let z = -3 - m. Solve -4 = -z*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + 92\/12 + -4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/60 - o**4\/6 + o**3\/6 - 73*o**2 - o - 8. Give i(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -1.2163, 0.4, -4 in ascending order.\nAnswer: -48, -4, -1.2163, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 776, 3249, 7414, 13277, 20844, 30121?\nAnswer: 41114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3169 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68560.\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 0.5 (c) -87 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 6*g + 8. Give h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -14156.\nAnswer: -1415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9676, -19348, -29018, -38686, -48352?\n\"Answer: q**2 - 9675*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 13*w**2 - 2*w + 2. Let m be t(9). Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1023 and -6.\nAnswer: -6138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*r - 5 = -3*p - 80*r, -2*p = -2*r - 4. Let l(q) = -q**2 - 1. Let x(t) = -2*t**3 + 2*t**2 + 2*t + 5. Calculate p*x(b) + 5*l(b).\nAnswer: -2*b**3 - 3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2706\/264*6*2\/3. Suppose -s*n + 5416 = -37*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**2 + 48*s - 52 = 0?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15966 divided by 1.\nAnswer: -15966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -1. Let l = a - -10. Let r(f) = 6 + 27*f**2 + 3*f + 208*f**3 - 209*f**3 - 23*f**2. Determine r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7835 divided by 62454\nAnswer: -7835\/62454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 731 + 838. Calculate the remainder when 373 is divided by g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 864e6 (base 15) to base 9\nAnswer: 718770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14251908 by -44.\nAnswer: 323907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70369 or -70282?\nAnswer: -70369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 47*h - 88. Does 21 divide m(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 12221?\nAnswer: -12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*j**3\/7 - 3804*j**2\/7 - 8632*j\/7 - 1920\/7 = 0. What is j?\nAnswer: -2, -1\/4, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (54 - -1) + (-19 - -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83782.1 millennia to months.\nAnswer: 1005385200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 98\/6 + (-5)\/15. Let i(x) = x**3 - 16*x**2 + x - 12. Let o be i(h). Suppose o*p = -2*z - z + 1173, 2*z = 5*p + 782. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 1 + 5 - 3)*(-1 + 0 - 1 + 8 - 2 + 11 + (1 - 3 + 4)*(0 - 2 + 3) - 30 + 2 + 3).\nAnswer: 32*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 34. Suppose -x + 87 = b, 5*b - n*x - 103 - 359 = 0. Suppose 2*a - b = a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 + 11 + 14*o - 2*o**2 + 4 - o**3. Let u be w(-10). Let m = -2977\/17 + u. What is the closest to 2\/7 in m, 3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 233 + 523. Suppose -3*t = -57 - q. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54e (base 16) in base 6?\nAnswer: -10142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 times -0.3?\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 13*b - 17. What is z(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 13. What is g(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let b(t) = -t**2 + 7*t + 146605. Give b(g(j)).\nAnswer: -4*j**2 - 14*j + 146605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 14. Let x be k(-10). Let d be x*(-1)\/((-4)\/643). Suppose 97 = 4*j - d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56675436 - 56675436 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -146*p - 2200. What is l(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 32*q**2 - 29*q + 38. Let x be p(31). What is the greatest common divisor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 26 = 10*x + x - 17, -46*x + 1 = a - 35*x for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11237 and 4017967?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 7*a + 2. Let j be m(-7). What is the first derivative of -7*x - x**2 + x + j + 6*x wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 y when three letters picked without replacement from ttyytyytyttyyt?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 - 1 = -3*g, 0 = -5*g + 25. Suppose 0 = y - 4, z - 6*y + 15 = -y. Sort -1, z, w.\nAnswer: w, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 23 = -4*w, -9*r - 22 = -19*r - 4*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 44. Suppose 159 = c*x - 21. Solve 4*q - 3*d + 10 = 2, -5*d = 5*q + x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -15. Let r = o + 7. Suppose 5*m + 2*f = 2*m + 20, -f = 3*m - 16. Which is the third biggest value? (a) m (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4500 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 21 = -9*b + 13*m - 69, 4*b - 10*m = -180 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -3, 5 in increasing order.\nAnswer: -60, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100100111010110 (base 2) in base 6?\nAnswer: 3114154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9239 = 9240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a**3 + 16156*a**2 + 67172*a + 8144 = 0 for a.\nAnswer: -4, -1\/8, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzznnazknzakzahnn. Give prob of picking 1 a and 1 h.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/i**(-2\/3)*i)\/i))\/i)\/i)**(3\/8)*(i*i**(-1)\/i*i*i)**(19\/2) assuming i is positive.\nAnswer: i**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -558094 - -558096. Determine r, given that 0*r + 0*r**3 - 2\/7*r**5 + 4\/7*r**4 + 0*r**c + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10822797 and 13227863?\nAnswer: 119050767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c72a + -19?\nAnswer: -8c745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 54*s**2 - s + 1. Let w be n(1). Let k = -27 + w. Suppose z = -4*z - 4*t + 72, -2*z - t + k = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 3*d + 0*d = 0. Solve 5*l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 + 31 - 44)*(4*b + 0*b - 3*b)*((-6 + 5 + 4)*(5*b - 6*b + 2*b) - 2*b - 2 + 2) to the form g*b + h + m*b**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/24 - 14\/(-6). Let t be 3 + 2 + 0\/1. Solve v = a + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:09 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 41, 107, 189, 293, 425?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 51*t + 48. Let k be o(-16). Let f = 12 + 2. Suppose -5*j + 6 + f = k. Calculate the highest common factor of j and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2099 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-21) + 4\/14. Let h(y) = 3*y**2 + 5*y + 3. Let i be h(-3). Suppose 0 = -3*m + 3, 0 = -3*f - 2*f - 5*m + i. Solve p = -f*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - t = -0*t - 14, 4*f + 5*t - 40 = 0. Let v(s) = -2*s**2 + 23*s + 14. Let r be v(12). Which is the closest to r? (a) f (b) -3\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/4 (b) 27 (c) 59 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45550053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose -60 = -3*t - s*h, 2*t - 59 = -h - 18. Let u(x) = 2*x - 13. Let g be u(10). Calculate the greatest common divisor of g and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:16 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 1 = 0. Let t be -163*q + (5 - 5). Let w be 9\/(-12) + t\/(-4). Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*a - 26, -42 = 5*a + 3*u - 0*u. Let r = 10 + a. Let b(f) = r - f - f + f. Let n(g) = g - 1. Calculate -b(p) - 2*n(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -3*q - 4*k - 30, -q - 4*k = -41. Suppose -5 - q = -5*x. Solve -4 = -y + 2*n, -y - 3*n = y + x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30960 is divided by 10191.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p**3 + 4*p**2 - 6*p**2 - 22*p**3)*(-300 + 16*p + 300).\nAnswer: -112*p**4 - 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**3 - 6*l**2 - 209*l + 348. Let w(q) = 20*q**3 + 17*q**2 + 626*q - 1044. Let n(g) = -17*v(g) - 6*w(g). Differentiate n(x) wrt x.\nAnswer: -3*x**2 - 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229376 divided by -28\nAnswer: -8192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 7:10 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = -10*l. Let c(m) be the second derivative of -1\/3*m**3 - 1\/6*m**4 + 0 + 2*m + 0*m**l. What is the second derivative of c(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 433*a**7\/42 - 475*a**3\/3 + 175*a**2 - a. Find the first derivative of y(h) wrt h.\nAnswer: 8660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-80)\/3)*5*1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7172, -14154, -21132, -28106, -35076, -42042?\n\"Answer: 2*u**2 - 6988*u - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3850 = -2*i. Calculate the highest common divisor of 50 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -20. Suppose 4*q - 2*y = -4*y + 52, -p*q + 4*y = -39. Solve 4 = 3*k - q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57328 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 992199.7nm?\nAnswer: 0.09921997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-9) - ((-60)\/18 - -4). Solve 5*a - 13 = -5*t + 9*t, -4*a = -t - x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*g - 112745 = -55960 + 198701. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35863? (a) -1\/4 (b) 0.03 (c) 0.08 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.47\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65115023 (base 7) to base 15.\nAnswer: -749898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:04 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4 - 10*s - 4. Let k(q) = -q**3 - 6*q**2 + 6*q - 10. Let n be k(-7). Let g(x) = 2*x. Calculate n*u(b) - 16*g(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42339\/(-6415)*20\/6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151.5 - -3.1. Let a = 134 + q. What is a rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 13*n - 11*n - 2*n + 6*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -276, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17\/5*a**2 - 19\/5*a + 2\/5 = 0. Calculate a.\nAnswer: 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0135, 7\/3, -3, 13, 5.\nAnswer: -3, 0.0135, 7\/3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1110974771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17766082*l**3*o - l**3 - 10*l**2*o - 716446*l**2 wrt l.\nAnswer: 106596492*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 25*a + 24. Let y be j(-26). Which is bigger: 10 or y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9249, -4951, 2213, 12243, 25139?\nAnswer: 40901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/(-27))\/((-1)\/(-3)). Put -6, 3, k in ascending order.\nAnswer: -6, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 9. Let s(y) be the first derivative of 0*y - 2\/3*y**6 + 0*y**3 + 0*y**4 + 3\/2*y**o + 0*y**5 - 4. Find the second derivative of s(q) wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/3, 9\/8, -2163, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2*(-2 - 0)*-1 and (-5)\/(-15)*21*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 + 3*x + 16. Let v(b) = -3*b**3 - 14*b**2 - 7*b - 47. Determine -8*o(n) - 3*v(n).\nAnswer: n**3 + 2*n**2 - 3*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4314 - -38902\/9. Suppose 24 = -11*t + 3*t. Calculate the common denominator of 1\/t - (-400)\/(-105) and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7575*n**2 - 4 - 6892*n**2.\nAnswer: 683*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 3. Suppose -12 = 2*x - 2*g, 2*g = -5*x - 2 + 7. Let l(o) = -o**2 + 1. Calculate x*h(i) - 3*l(i).\nAnswer: 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -114. Solve 3*x + 16 = w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 7. Let i be q(-2). Suppose 3*j - 1 = n - 3, 0 = 2*n - 4*j - 4. Calculate the least common multiple of 6 + (i - (1 + n)) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14163299.\nAnswer: 14163299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640080549 divided by -213.\nAnswer: 3005073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 26\/7*p**3 - 96\/7*p + 0 - 68\/7*p**2 - 2\/7*p**4 = 0. What is p?\nAnswer: -1, 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5753, 5751, 5739, 5711, 5661?\n\"Answer: -p**3 + p**2 + 2*p + 5751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*u = 5, 5*h - 7*u + 2*u - 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -12*p - p**2 - 6 + 16*p + 2*p**2. Let u be k(-6). Let w(y) = -y + 13. Let o(a) = -2*a + 26. Let d(i) = -3*o(i) + 7*w(i). Give d(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -6 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 798*m + 1588.\nAnswer: 2*(m - 397)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 15430856.\nAnswer: 15430856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2954 = -922. Is 13 a factor of (-1)\/(-5) - g\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 262, 529, 798, 1069?\n\"Answer: x**2 + 264*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 794, 843, 966, 1199, 1578, 2139, 2918?\n\"Answer: 6*h**3 + h**2 + 4*h + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21200110100 (base 3) to base 7\nAnswer: -1166631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4545516*g*k**4 + 1667289*g*k + 2*k**5 wrt k?\nAnswer: -54546192*g*k**2 + 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + 4*i + 23. Let j be g(-6). Let w be (-1)\/(1 + 0)*-22. Suppose -5*s - w = -72. Which is bigger: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67902.37 milligrams to kilograms.\nAnswer: 0.06790237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -0.04?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58050 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 10. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238a1 (base 11) to base 9.\nAnswer: -52111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*b - 6*b + 4*b)*(-136 - 4*b + 3*b + 178).\nAnswer: -2*b**2 + 85*b - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 - 12 = 0. Let i(a) = -6 + 7 - 2*a + 6 + a. Let f be i(p). Put 0, f, 4 in ascending order.\nAnswer: 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.006 + 1.606. Let m(v) = -2 + 5 - 5*v**2 - 2. Let h be m(1). Sort h, z, -0.5 in decreasing order.\nAnswer: z, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0*h**2 - 2*h - 3 - 4*h**2 + 3*h**2 - 2*h**3 - 3*h**3. Is 2 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 5. Suppose 5 + q = g. What is the highest common divisor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*m - 23. Suppose 6 = 3*c, -2*c - 42 = -m*i + 3*c. Calculate the highest common factor of 65 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40698 divided by 646\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17437\/8 - 2187. Calculate the common denominator of -5\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -152, 4, 1, 24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 44805 = 11*m - 167136. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -2\/3 (b) -5\/2 (c) -1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/7))**23\/(((q*q\/q**2*q)\/q)\/(q*q\/(q\/(q**1*q*q)))))**(-11) assuming q is positive.\nAnswer: q**(-1573\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9063 and 78224767?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*c + 3*c. Suppose 5*z = c*z + 74. What is z rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwqqqqqqwwqwwwwqqq. Give prob of sequence qqww.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 5 = 19*j. Suppose -w - 3*y = y - 10, -j*w + 3*y = -27. Solve u + u = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(34)\/sqrt(18)*-2.\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 626610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151 + 445 - 215 + (2 + 2 - 2)*(3 + 1 - 2))*(-3*y**4 + y**4 - y**4).\nAnswer: -249*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmu. What is prob of sequence mm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9493422 nanoseconds to minutes.\nAnswer: 0.00000000001582237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/18 and -43\/93719860.\nAnswer: 843478740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(432) - sqrt(3))**2 - ((sqrt(12)*5)**2 - sqrt(3)).\nAnswer: sqrt(3) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (837\/(-23688))\/(((-4)\/10)\/((-4)\/15)) and -38\/49?\nAnswer: 9212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 625545158 - 625545201.99999952. Let j = c + 44. What is j rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22\/107 + 2407\/1819. Calculate the common denominator of p and ((36\/(-14))\/3)\/((-20)\/(-287)).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j - 3. Let z(o) = o. Determine -2*s(q) - 22*z(q).\nAnswer: 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = i + 2*p + 2*p, 544 = 5*i - 2*p. Suppose -4*k - 132 = 5*q, -5*q = -4*k - 4*q - i. Let o = k - -113\/4. Put o, 5, -0.05 in descending order.\nAnswer: 5, o, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 - 6*j**2 + 2*j - 11. What is the hundreds digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3. Let i be w(0). Suppose 0 = s + 1, 4*s = l - 0*l - 6. Let g be l\/(-6)*(i + -3). What is the highest common factor of 9 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1.8 (b) -0.05 (c) -9624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6, -2*w = -6*w - t - 450. What is the remainder when w\/(-4) - (-21)\/28 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/18 - (11 + 5\/(30\/(-18)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 + 261*g**2 - 15138*g + 292668.\nAnswer: -3*(g - 58)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3339992 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*t**3 + 4\/3*t - 1\/3 - 1\/3*t**4 - 2*t**2.\nAnswer: -(t - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78343 (base 10) in base 14?\nAnswer: 2079d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2823, -5643, -8463?\n\"Answer: -2820*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, y: 2}. Give prob of sequence yhhh.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53092, 53303, 53898, 55075, 57032, 59967, 64078, 69563?\n\"Answer: 33*x**3 - 6*x**2 - 2*x + 53067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11423933 is divided by 232?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = 60. Let q be ((-5)\/(50\/v))\/((-9)\/(-5)). Solve 8\/9*r + 0 + 2\/9*r**3 + q*r**2 = 0 for r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d + 3*d + 40. Let p(q) = -d*q - q + 6*q + 11. Determine p(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -241, -426, -599, -760, -909, -1046?\n\"Answer: 6*c**2 - 203*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 2, 11950, 1, -3, -5, 4 in descending order.\nAnswer: 11950, 4, 2, 1, -3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -0.2, -113 in increasing order.\nAnswer: -113, -64, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/3, 1\/4, 0.18, 1, -600.6, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide (1 + (0 - 4))*(-8045 + -3 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3*u + 2. Suppose 0 = 4*g - 5*v - 18, -16 = 4*g - 7*g + 5*v. Suppose 2*a = a + g. Let o be b(a). Solve -y = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651679 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:11 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:50 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from lzfflzlll.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -929? (a) 2 (b) 0.03 (c) 16 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -2. Let k be -7*(-3 + 2)*-1. Let j = k - g. Let r(d) = -3*d**2 - 2. Let q(y) = -13*y**2 - 9. Determine j*q(f) - 9*r(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.355 - -4.355. Sort 4, l, -792.\nAnswer: -792, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 3, s: 2, w: 6}. What is prob of picking 1 w and 1 y?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let r(x) = -2*x - 8. Let q(g) = -g - 4. Let o be q(-9). Let i(v) = 4 - o - 5 + 5. Let c(s) = -8*i(s) + r(s). Determine c(d(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**10\/i)))\/i**3)\/(i**(-5)\/i*i**10\/i) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d + 13. Let y(z) = -12*z + 7*z + 19 - 17*z. Let t(j) = 7*r(j) - 5*y(j). Let p(w) = -4*w + 5. Let b(c) = -4*p(c) - 3*t(c). Calculate b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26410 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1)\/(((-12)\/2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291624 - (7 + 34\/(-17)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose -4*z + 109 - 29 = 0. Let r(g) = -3 - 14*g + 6 - 8*g + z*g. Determine r(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 11*u**2 - 2*u**2 + 9*u**2)*(-u**2 + 1 - 4*u**2 + 4*u**2).\nAnswer: 4*u**4 - 2*u**3 - 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 409209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39428, 78854, 118278, 157700, 197120, 236538?\n\"Answer: -x**2 + 39429*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 530.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12254359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -52*y**3\/3 - 1400*y**2 + 432*y + 574. Suppose r(i) = 0. What is i?\nAnswer: -54, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 564 (base 16) to base 12\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.7 + 34.05. What is the fourth biggest value in -0.3, -0.2, w, -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/(-5) + (-18)\/30. Let z(i) = 3*i + 1. Is z(a) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -10*s + 21*s. Calculate the smallest common multiple of 4\/14 - (-68)\/7 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28141671 and 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3088495 and 0.3?\nAnswer: -926548.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)*s*s\/s**(-3))\/((s**(3\/2)\/s)\/s**(-2)))\/((s\/s**0)\/(s**5\/s))**(6\/5) assuming s is positive.\nAnswer: s**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkky. Give prob of sequence ykkl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 59. Sort s, 2, 0 in increasing order.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -3. Is 3 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 146 = 3*s + p, s = 5*p + 164. Suppose -s - 561 = -5*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8448 + -8040. What is the greatest common factor of 600 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/84 and 13\/1974.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/265?\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4\/3 + 100748*p**3\/3 + 167936*p**2 + 806128*p\/3 + 403072\/3 = 0.\nAnswer: -2, -1, 25192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 3.3. Let f = 14.9 - 15. What is the second smallest value in p, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10*(-414)\/(-920))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 13*v - 75. What is the remainder when 28 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 25. Suppose -m = d*g - 84 - 367, 4*m + 133 = g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.143 - -135.857. Let u = -4257373 + 4257508.99929. Let a = s - u. What is a rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1202960 and 36190.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -17.3. Which is the nearest to -1? (a) 1 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.6 - -3.51.\nAnswer: -12.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + 1 - (sqrt(1088) + -1)**2 - (sqrt(68)*5 + sqrt(85)\/(5*sqrt(5))).\nAnswer: -1088 + 34*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from pgjpj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 times 4156771?\nAnswer: 24940.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 969.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3) - (5 + -2 + sqrt(3)))*4)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-56)\/(-12))\/((-2)\/(-240))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 6*r**4 - 4*r**3 - 24*r**2 + 32*r = 0 for r.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -2101, -7074, -16765, -32746, -56589, -89866?\nAnswer: -134149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*c - 273*c = -613*c - 852 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -386 + 2908832.\nAnswer: 2908446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0*m - m**2 + 2*m + 1 + 2*m - 3*m. Let o be n(0). Let i be (1 - -4)*8\/10. Which is the nearest to o? (a) 1\/3 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 883 - 149 - 420. Calculate the highest common factor of 1364 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + ((-6*(sqrt(175) + 1 - sqrt(175))*3 + 1 + -2)*-1)**2).\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -765, -1625, -2829, -4377, -6269, -8505?\nAnswer: -11085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -11 + 3. Suppose 5*l - 3*m = 11 - 2, 0 = 4*l + 3*m - 18. Put 1, l, y in ascending order.\nAnswer: y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*12\/(-216))\/((-100)\/90)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7520 greater than or equal to -7522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 2*n + 31*a - 30944, 3*a + 46479 = 3*n. What are the prime factors of n?\nAnswer: 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 < 427272\/3877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 + f + 1. Let q(b) = -b - 1. Let a(r) = -4*q(r) - x(r). Let u(j) = 3*j**2 + 2*j + 2. Determine -4*a(y) + 7*u(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10365 = 9*b - 5*v, -5*b - 10371 = -2*v. Let w be (-30000)\/(-7 + (-14520)\/b). What is w rounded to the nearest one hundred thousand?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 18, 64, 148, 282, 478, 748, 1104?\n\"Answer: 2*v**3 + v**2 + 3*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4123302, -8246610, -12369918, -16493226, -20616534, -24739842?\nAnswer: -28863150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1412.6408 + -1413. Round x to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + i - 30622 - 23*i**2 - 33*i**2 + 30611 to the form l*i + y*i**2 + q*i**3 + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let u(x) = -5487*x. What is b(u(a))?\nAnswer: 5487*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9252290731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - o - 11 = 0, 0 = 4*j + 2*o + o - 24. Let d be j*3\/(3*-1). What is the common denominator of 46\/7 and (-9)\/(-6)*17\/d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = 2*u. Suppose -3*p = 3*n - u, 3*n - 20 = -2*n + p. Let q = 1 - 1. What is the third smallest value in n, q, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 10 - 2. Let y(p) = 1 - 6*p + 1 - 3 - 6*p**j - p**3. Let q be y(-5). Solve q*b - 5 = 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*j + 2*s, -5*j + 22 + 3 = 4*s. Suppose -j*d + 14 = -4. Let g(q) = 367*q + 5. Is g(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.57 minus -1.252?\nAnswer: -29.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + sqrt(68)*-2 + -6*(2*sqrt(68) - sqrt(68)) + 6*(sqrt(68) + sqrt(68)*-3 + 5) + -3)**2.\nAnswer: -84483 + 7440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24210 divided by -4842\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -38*k**3 - k**2 + k - 1. Give j(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 282757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52300 and 10460.\nAnswer: 52300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -163*r - 6. Let w(u) = 1794*u + 65. Let l(q) = -65*d(q) - 6*w(q). Let g(v) = 28 + 12 - 40 - 2*v. Give g(l(h)).\nAnswer: 338*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let a be f(5). Let z = 5\/4 - 5. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073\/9 - 2\/9 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -6) + -14 + 11. Let q = -2.1 + 5.1. Let l = q + -7. What is the biggest value in l, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*b = -102, 0 = 2*b + 1 - 7. Calculate the highest common factor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4390 by 10090.\nAnswer: -439\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*2*(1*(sqrt(7) + -3) - sqrt(7) - sqrt(7)).\nAnswer: 25 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -0.5, 2, 8, -1639, -5, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 120. Solve g*h - 7*h - 69 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z + 5. Suppose 3*v = 5*b - 42, 5*b + v = -2*v + 48. Is u(b) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25942532 and 20383418?\nAnswer: 285367852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 122.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:33 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75048 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/15, 11, 0.057, 56, 0 in descending order.\nAnswer: 56, 11, 0.057, 0, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Let z(l) = -6*l - 2. Let j = -3 - -12. Calculate the remainder when z(r) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 461?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:57 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 202*t**3 + 26*t**2 + 386*t + 386. Give s(-1).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/55)*d**(2\/3)*d*(d**(-2\/19))**44 assuming d is positive.\nAnswer: d**(-9409\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -15*k - 25 - 5\/4*k**2 = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/8 - 117*k**2\/8 - 63*k\/4 + 30.\nAnswer: 3*(k - 40)*(k - 1)*(k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10194004*c**2 + 8872772?\nAnswer: -20388008*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15662673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yppjypyyypp. What is prob of sequence pyyy?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/((-6)\/(-12)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 - 46. Let q = -3 + 23. Let b = q - r. Calculate the greatest common divisor of 28 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39306786200 rounded to the nearest 1000000?\nAnswer: -39307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 624\nAnswer: -1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 79*z**2 - 3*z + 6*z - z - 14*z**2 + 3. Is j(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*9\/(9\/(-812500)). Round r to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h - 8*h + 32*h as g*h + y and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w - 1\/40*w**5 + 77*w**2 + 1\/8*w**4 + 0*w**3 + 0 - 1\/28*w**7 - 1\/10*w**6. Determine o so that y(o) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1132 and 2188.\nAnswer: 619204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**7\/70 + c**6\/32 - c**5\/80 + 5*c**2\/2 + 3. Let k(g) be the second derivative of o(g). Determine w so that k(w) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-95 - 1)\/4*-1. Suppose -5*w + 17 + 13 = 0. Is 8 a factor of ((-17)\/(-4))\/(w\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 2631\nAnswer: 8\/2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 5 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018510122 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1461547*q + 4384686*q - 1461568*q - 1461547*q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2 - 1 + 23*c - 5 + 2. Is n(3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13008*g**3 - 12669*g**2 wrt g?\nAnswer: -78048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(1 - 3 + 4) + 0 - 4 + 5)*(7*z**4 - 8*z**3 + 8*z**3).\nAnswer: 35*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17283 by 3.\nAnswer: -5761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(63)\/sqrt(3))\/sqrt(7))**2 - (((sqrt(3) + 1 - sqrt(3) - sqrt(3)) + -5)**2 + sqrt(12)*2)) + 5.\nAnswer: -22*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -236*x + 236*x + 946*x**3 + (4 - 5*x**2 - 4)*(-3*x - x + 3*x).\nAnswer: 951*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16629203 times -4\nAnswer: -66516812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21466 + -4649. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.22, 4, -1\/2, -0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:12 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2930, -11760, -26486, -47108?\nAnswer: -73626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0, 1\/6, 0.1, -3, 471.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -759*i - 5312. Give y(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 5, n: 3}. What is prob of sequence lnn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 183.\nAnswer: -56\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4\/((-10)\/2*2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 47*t - 114*t + 358*t + 151*t + 270*t. Let a(l) = -2*l. Give f(a(v)).\nAnswer: -1424*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7718 + 7941. Suppose 0 = -i - i + 24. Let q = i - -33. Calculate the remainder when o is divided by q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*p - 3*p. Suppose -6 - 10 = p*g. Let i(q) = -q**2 + 6*q - 9. Let w be i(4). Sort g, w, 6.\nAnswer: g, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7980 - -433. What are the prime factors of z?\nAnswer: 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 878 = -4*n, -5*n + 2*z + 474 + 620 = 0. Suppose 26 = -n*x + 231*x. Factor 2\/7*l + 1\/7*l**x - 1\/7*l**3 + 0.\nAnswer: -l*(l - 2)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*s - 14 = 35*s - 413 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53609 or 53603?\nAnswer: 53603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -40, 111, -2 in increasing order.\nAnswer: -40, -2, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344051219 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1278*y + 1106*y - 2522*y.\nAnswer: -138*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.059 + 0.059. Which is the second biggest value? (a) 0.1 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(1\/2))*q*q*q\/(q*q**(-5)\/q))**(-2\/9)*q**(-2\/9)*q**(-2)\/q*q**(-3)*q*q*q\/(q*q**(-1)*q) assuming q is positive.\nAnswer: q**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 6\/5*z**3 + 4\/5*z + 1\/5*z**4 + 9\/5*z**2 + 0 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**11\/(k\/(k*k**(-2\/3)\/k)))\/((((k\/k**(4\/9)*k)\/k)\/k)\/k)**(-24))**(-3\/8) assuming k is positive.\nAnswer: k**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*i**2 + 356086070*i - 41892480.\nAnswer: 5*(i + 4189248)*(17*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, -5, -3, 277?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6199, 6181, 6151, 6109, 6055, 5989, 5911?\n\"Answer: -6*y**2 + 6205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1750 divided by -10\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/68 and -47\/119?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 0.004, -2\/7, -0.2?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = 5*l - 0*l - 4*q, l - 13*q - 84705 + 84828 = 0 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.5, 47, -2, 4, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*z - 320*z - 643*z.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18503 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -17. Is (11\/4)\/(p\/(-52)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.275743 - -0.2752. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5\/4, -0.3.\nAnswer: -5\/4, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.518 + 0.0146709.\nAnswer: -7.5033291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577464.1 micrometers to centimeters.\nAnswer: 57.74641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127037.\nAnswer: 127037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**8\/28 + 17*g**7\/6 + g**4\/4 + 19*g**3\/2 + 3*g - 44. Find the third derivative of p(u) wrt u.\nAnswer: 240*u**3 + 7140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 832 + 124. Let c = -48 + f. Let n(o) = o**3 - 4*o**2 + 3*o. Let j be n(2). Sort -4, 2, c, j in ascending order.\nAnswer: -4, j, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b**2 + 0*b**3 - 3 - b**3 + b - 13*b**2. Let d be q(8). Suppose 2*f + 9 = -f. Sort d, 0, f.\nAnswer: f, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149a61 (base 11) to base 3\nAnswer: 102211102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15218 and 9226.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113770542?\nAnswer: 2, 3, 53, 71, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3455190470?\nAnswer: 2, 5, 19, 2887, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112341242 + 2?\nAnswer: -112341240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*9\/(-2). Let g be (2\/4)\/1*4. Let o = g + k. Solve -3*r + 10 = -o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17750, 35631, 53514, 71399, 89286, 107175, 125066?\nAnswer: 142959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from {d: 4, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158\/(-18) - 32\/(-2448)*-17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 7*t + 8. Suppose 0 = f - 8 + 2. Let q be n(f). Suppose 4 = 2*z, -2*z + 78 = q*u + 3*z. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 3*f - 59, -1153*f + 1152*f - 353 = -14*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3745?\nAnswer: 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*l**2 - 2*l**2 + l**4 - 10*l**3 + l - l + 49*l**2 + 5*l as c*l**3 + f*l + v*l**2 + h + u*l**4 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o - 7. Calculate l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-17) + (-594)\/(-11781).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cc1 + -22?\nAnswer: 2c9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141007?\nAnswer: 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/72 + a**5\/6 + 55*a**4\/72 + 5*a**3\/3 + 3*a**2. Factor b(l).\nAnswer: 5*(l + 1)*(l + 2)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-4)*1*-4. Let n be (15 + 440\/(-48))\/7. What is the third biggest value in w, -2, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9823521.\nAnswer: 3, 163, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -54. Let f be 10\/45 - (93\/n + 0). Let j = 127\/140 + 12\/35. Which is the fourth smallest value? (a) f (b) 4 (c) j (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 132\/(-21) - 6\/21. Let l(p) = p**3 - 11*p**2 + 10*p + 4. Let f be l(10). Suppose -3*v = g*i - 36, 8*v - 3*v + f = 4*i. Solve -3*w = -w - i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*g**3 + g**4 + 4*g**3 + 41*g**3 + 4*g**3 + 26*g + 4*g**3 to the form y*g**2 + i + x*g**3 + q*g**4 + z*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-126)*4)\/(1\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 + 2*l**3\/3 - l**2\/2 + 22. Let a(f) = f**2 - 7*f + 3. Let d = -6 + 12. Let v be a(d). What is t(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 948*t + 6173*t - 5 - 6 as m + r*t and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l + 8 = 0. Let z(g) = 12 - g**2 - l*g - 12. Let x be z(-6). Solve 0 = -m - 3, -x = 3*w - 4*m + 3*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -7.975086597.\nAnswer: -7.575086597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -14*c**2. Let d(o) be the first derivative of -13*o**3\/3 - 68. Determine r(d(i)).\nAnswer: -2366*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/88 - 19\/8. What is the nearest to a in -18, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 - z + 3. Suppose -g + 6 = 9. Let w be q(g). Sort w, 1, 0.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m - 4 = 3*b + 67*m, 2*b = -5*m - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 3*a**2 - a + 2. Let z(d) = d**3 + d**2 + 2*d - 52. What is -2*r(b) - z(b)?\nAnswer: b**3 + 5*b**2 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**3 - u**2 + 2*u - 1. Let c be k(1). Let y = c - -7. Let b(i) = 3*i - i - y*i + 0*i - 9. Give b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h + 58800000. Round h to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-47)\/(-15) - (-6)\/(-45). Let k(x) = -5*x**3 - 3*x**2 + 6. Let y be k(g). Let j = -69 - y. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 at most as big as -447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 - 3*q - 6. Let h be (6\/(-9))\/((-2)\/(-12)). Let u be w(h). Suppose 4*d - 29 + 5 = 0. Calculate the greatest common divisor of u and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*-1*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/3750*15 - -223*(-3)\/(-75). Let i(s) = -s**3 + 9*s**2 - 2*s + 32. What is i(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, -1, -0.46?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.3, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -d - 14, 0 = -50*d + 48*d - 3*k - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4908, -9819, -14730?\nAnswer: -19641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 721486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7133 = -1004*x + 21983 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**25\/(x**(-3\/20)*x*x) assuming x is positive.\nAnswer: x**(463\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 969 or 978?\nAnswer: 969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/7750*(-10)\/(-4)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 3*j, 4*j - 10 = -2*l. Let m = 3 + l. Let h = 19 + m. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -279 - 3?\nAnswer: -27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-32)\/3)\/(-4))\/(16\/24). Suppose -3*z = -3*d, -4*z + 6 = 2*d - 4*d. Let q(k) = k**3 - 2*k**2 - 2*k. Let g be q(d). Solve -h = -t + g*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476059353 divided by -803.\nAnswer: -592851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*o**4 + 1090*o**3 + o**2 - 2763*o + 21.\nAnswer: 420*o**2 + 6540*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-14) - (-3 + 0)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3301 + 3301. Let t(x) be the third derivative of 0 - 1\/240*x**5 + v*x - 3\/8*x**3 + 1\/16*x**4 + 8*x**2. Suppose t(h) = 0. Calculate h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4299, 8061, 11817, 15567, 19311, 23049, 26781?\nAnswer: 30507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x + 1\/2*x**2 - 1\/20*x**5 + 1\/2*x**4 + 0 - 5\/6*x**3. Let d(f) = -f**2 + 6*f - 3. Let m be d(4). What is v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26414133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*k - 27*k - 24 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*j**2 - 510*j - 25 = 0. What is j?\nAnswer: -5\/107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 1762 = -787. Put -4, 2, z, -2 in decreasing order.\nAnswer: z, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-5 + (0 - -3)). Let k be -3 + 3 + a\/(-3). Solve 4*m = -k*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 832.0668 - 1.9668. Let j = m + -830. Which is the nearest to -0.02? (a) -1\/9 (b) j (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k - 362 = -2*b, 0*k + 3*k = 3*b + 129 - 270 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsbb when four letters picked without replacement from kksbkbbsrskks?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.619 rounded to the nearest integer?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42592 by -2.\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 32*j - 125. Let x be s(4). Which is the second smallest value? (a) 2 (b) x (c) -38\/5 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 6*o + 5. Let v be (-1 + 0)\/((-2)\/(-12)). Let u be i(v). Solve -2*n + 15 = 3*j, j - n = -6*n + u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.033 + 265.967. Let v = 266.4 - j. Which is the closest to -0.1? (a) v (b) -2\/3 (c) -3 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d + 1019 = -339 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1660*u**4 - 198616*u**3 + 1101748263 wrt u.\nAnswer: 6640*u**3 - 595848*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (0 - (9 + -2)). Suppose q*x - 1 = -b - b, 16 = 5*b - x. Differentiate -b - 2*v - 3*v + 0*v wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*h**2 - 83*h**2 - 484*h**6 - 274*h**2 wrt h.\nAnswer: -58080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 204 = 4*i + 10*w, 0 = -w. Calculate the smallest common multiple of 21 and i.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 2. Let a be 6*3\/9*2. Let l be x(a). Let p(r) = -4*r - r**3 - 4*r + 5*r + 4*r + 2*r**2. Let m(s) = 2*s**3 - 3*s**2. What is l*m(u) - 3*p(u)?\nAnswer: -u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -0.4 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90660941 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/672892 and 73\/19844?\nAnswer: 7401812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o*o**(1\/3)*(o**(1\/3)*o)**(-24))\/((o\/((o*o\/o**1)\/o))**(-6\/13)*o**(3\/2)\/o**(-2)) assuming o is positive.\nAnswer: o**(-2759\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(2*b**4 - 2*b**4 + b**4) - 22*b**4 - 11*b**2 + 31*b**4 - 7*b**4.\nAnswer: b**4 - 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - (4 + -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -39516\nAnswer: 1\/9879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -16 - (25 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from ffffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 572831?\nAnswer: 3\/572831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Let x = 448 + -308. Let d(i) = -i + x - 140. Let c(w) = 4*d(w) + 3*p(w). Let m(b) = -2*b. Give c(m(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400.6929 millilitres to litres.\nAnswer: 0.4006929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1766*a**2 - 2*a - 591*a**2 - 2 + 625*a**2.\nAnswer: -1732*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 16 = -9, -2*y = -t - 447. Let i = -217 + y. Solve -4*c - 4 = i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59972817 divided by -4\nAnswer: -59972817\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6343200541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3366395 divided by 9223.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -863 + 962. Let d(j) = j**3 - 5*j**2 - 2*j - 7. What is the remainder when n is divided by d(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 434 - 434 - 122*s in the form n*s + r and give n.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 747493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 15 = 3*g + 2*n, 5*g + n = 12. Suppose 0 = 2*d - 29 - g. What is the remainder when 46 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28347 + -18885. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 8*q - 6. Let o be p(-7). Let c = o + 16. Determine b so that 3\/4*b**5 + 3\/2*b**4 - 9\/4*b**c + 3*b + 0 - 3*b**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4035*l**3*t**3 - 45632*l**3*t - 2*l**2 + 2491*l*t**5 - 382*t wrt t.\nAnswer: -24210*l**3*t + 49820*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4779 - -2587. What are the prime factors of f?\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {m: 1, k: 1, x: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 18.6. Which is the second smallest value? (a) -2 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5*p**2 + 7702*g**3*p**2 - 43*g**2*p**2 - 16*g**2 - 3*g*p**2 + p wrt g.\nAnswer: -60*g**2*p**2 + 46212*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 391.\nAnswer: -2\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, 1, -2, 17, -704 in ascending order.\nAnswer: -704, -2, 1, 2, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -287711782 divided by -2?\nAnswer: 143855891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.045 and -0.25?\nAnswer: -0.01125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 5:34 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -4 - 736\/(-192). Let t be ((-3)\/(-6))\/(14\/8). What is the second biggest value in t, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568560611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 951 = -3*b - c, 0 = -b + 2*c + 321. Let j(i) = 4*i + 15. Let k be j(5). Calculate the greatest common divisor of k and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 297296, 297272, 297248, 297224?\n\"Answer: -24*l + 297320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85955 divided by 6?\nAnswer: -85955\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -25\/2*m**3 - 15\/8*m**4 + 9\/20*m**5 + 196*m**2 + 0 - 1\/40*m**6 + 0*m. Suppose r(b) = 0. What is b?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5774 = 96*d - 1234 - 4033 + 2497 for d.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + s**4 + s - 7*s**3 + 9*s**3 to the form x*s**3 + y*s**4 + h*s**2 + g*s + p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.3, 34\/7, 6\/7, 0.01 in descending order.\nAnswer: 34\/7, 6\/7, 0.4, 0.3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -316?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23883, -18391, -12865, -7287, -1639, 4097, 9939?\n\"Answer: 3*i**3 - i**2 + 5474*i - 29359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(27) - (-2*sqrt(216))\/sqrt(8)) + (sqrt(18)\/sqrt(2)*3)\/sqrt(3)*-6)*5)**2.\nAnswer: 54675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2. Suppose -4*q = -4*w - 8, -3*q - 31*w = -32*w - 4. Let j(o) = 23*o**2 - 2. Determine q*j(d) + 2*p(d).\nAnswer: 21*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 2.93. Let d = 3.02 - u. Let k = d - -0.38. Sort k, -5, 4\/7 in decreasing order.\nAnswer: 4\/7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/2 - t. Let s(g) = g + 0 - 5 + 2 - 3*g. Let d(l) = -l - 2. Let y(j) = -3*d(j) + 2*s(j). Calculate i(y(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485*c = 486*c - 3. What is the highest common factor of 51 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 64*q + 68*q - 6, 5*q = -21*d - 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 5*z**2 + 5*z - 1. Let x(j) = -3*j**3 - 8*j**2 - 7*j + 2. Determine -8*h(c) - 5*x(c).\nAnswer: -c**3 - 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 (base 12) in base 13?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 153233.2 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -2 (c) 1\/4 (d) -1.3 (e) 4 (f) -6\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 2. Let w(a) = a**2 - 9*a - 14. Let r be w(10). Let c = 5 - r. Suppose -c = -3*n + 3. Give s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffcflfxc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + i + 2. Let w be b(-2). Let p = w + 38. Suppose -4*n + 58 = -p. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/15 (c) -4 (d) -1450 (e) 2 (f) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9049.\nAnswer: 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 6\/166661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 147*q + 4 = 148*q, 4*s = 2*q - 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/10)\/(k*k\/k**(3\/8))*k**(-3)*k*k**(-1\/8)\/k)**(-1\/9))**39 assuming k is positive.\nAnswer: k**(1157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 8*l + 4. Let b be a(-8). Suppose -2*t + 21 = 5*g, -3*g + b + 14 = 3*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57 - -de7?\nAnswer: d90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-110)\/(-198)*(-18)\/(-15) + (-10)\/(-3). Solve 2*w - 6 = 6*f - 2*f, -3*f - 12 = -b*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 17. Suppose -4*m = h - 25, -3*g + 67 = -m. Let l = g + -19. Solve -i = l*j - 29, j - 1 = 4*i - 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22*h + 669. Let o be a(31). Put 3, -1, -4, o in increasing order.\nAnswer: o, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 351*j + 1796. What is x(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -29. Let a(j) = 9*j**2 - 7*j + 10. Let c(t) = -3*t**2 + 2*t - 3. What is v*c(z) - 2*a(z)?\nAnswer: 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5706 in descending order.\nAnswer: 5706, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((6 - -1) + -1 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35379587, 35379586, 35379585?\nAnswer: 35379584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*(-151)\/(-20385))\/(-6*(-8)\/(-612))?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**3 - 13*v**2 - 5*v. Let z(g) = 12*g**3 - 19*g**2 - 8*g. Let u(h) = 8*b(h) - 5*z(h). Find the third derivative of u(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) - (-112)\/63. Let v(s) = 11*s + 3. Calculate the remainder when v(p) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -120*m + 3240. Give v(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-6 + (5 - 4) - -5) - 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (6 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 911.752 + 151160048?\nAnswer: 151160959.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1\/2 (b) 0 (c) 8 (d) -10 (e) -0.76 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-662591.\nAnswer: 132518.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-1 - -7) - 7 - (-2 + -12)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1091 + -246. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 + 198 + (2 - 24).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -87 and -0.0671435?\nAnswer: 86.9328565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 - (-5)\/1. Suppose o*w + w - 155 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118008714 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 + 10*r**3 - 19*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 3*c**2 - 3*c - 5. Let h be a(4). Let i(v) be the first derivative of 41*v**3\/3 + 3*v**2\/2 + 2*v - 1. What is the units digit of i(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 712582 (base 9) to base 6\nAnswer: 13012545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 20. Let p be i(-10). Suppose 2*w + 2 = p, -w = -0*f + 4*f - 3. What is the least common multiple of 26 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/864*54*66\/10.\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182532 * 5.\nAnswer: -912660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 196\/(-14)*(-1 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:34 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71\/(-2 + 0 + 48). Let z = k + -418\/621. Find the common denominator of z and -43\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 28*b**3 + b**2 - 1. Let a be i(1). Suppose 7726*o - 87164 = 7160*o. Calculate the highest common factor of a and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -5 - (3 + (2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04569896 to 3 dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 274, 366, 458, 550, 642?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k - 2 - 42 + 0*k**3 + 32*k + 46 - k**3 to a*k**3 + v*k + h*k**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*13\/(208\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o - 4. Calculate x(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035 = -29*s + 34*s. Suppose 5*m - s = 208. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-4 + 3 - (-4 + -19)) - -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 2*j + 596. What is the remainder when j is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469 - 194162331.6419.\nAnswer: -194162800.6419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -4111304?\nAnswer: 4111240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6276, -6300, -6320, -6336, -6348?\n\"Answer: 2*d**2 - 30*d - 6248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - r + 2 = 0, -3*r = -4*q + 2*r - 1. Suppose 2*s + q = 3. Which is the closest to -1\/4? (a) -0.4 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 666, 2663, 5988, 10641?\n\"Answer: 664*t**2 + 5*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(84)\/sqrt(50))\/(sqrt(54) + -1*sqrt(3456) + sqrt(3456)).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 29*y**2 - 689*y + 2627. What is o(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10476, -23236, -44510, -74304, -112624, -159476, -214866?\n\"Answer: -a**3 - 4251*a**2 - 6224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-12))\/(-7)*41\/((-4797)\/(-72))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53782731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(4*t - 2*t + 4*t) + (-1 - 2 + 1)*(-4 + 2*t + 4) + 8 + 2*t - 8 to h + a*t and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -126 and -127 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 592 and 48.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 6. Let t(f) = 12*f + 2. Let r(p) = 140*p + 25. Let b(x) = -4*r(x) + 50*t(x). Determine h(b(u)).\nAnswer: 40*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h - 10. Let d be m(2). Suppose 4*c + d*t = 42, -3*c + 3*t + 27 = c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*l. Find the first derivative of -5*a**4 + l*a**4 - 4*a**4 + 1 - a**4 wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n + 6. Let w be x(5). Suppose -5*s = -7*s + w. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4848606*2.\nAnswer: 9697212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1747 + 1740. Sort -3\/7, -0.4, y, 2\/7.\nAnswer: y, -3\/7, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 w when three letters picked without replacement from {d: 10, w: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 19 = -3*y + v, 0 = -v - 4. Let x(c) = c**3 - 13*c**2 - 233*c - 33. Let w be x(-10). Put w, 95, y in ascending order.\nAnswer: y, w, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9231950 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60198 - -20959. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f + 9. Let z(p) = 25*p - 33. What is -9*x(a) - 2*z(a)?\nAnswer: 4*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727037649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**6\/72 - 5*g**5\/24 - 31*g**3\/3 + 6. Let u(r) be the third derivative of t(r). Find the second derivative of u(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*u - 13. Suppose u + 134 = 2*k + g, -2*k = 4*g - 162. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 - 70*i - 35880 = 0. What is i?\nAnswer: -78, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 18. Let x be n(-21). Let p = -66 - x. Let v = p + -34. Let r(t) = 8*t. Determine r(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49969770?\nAnswer: 2, 3, 5, 1665659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2475 and 97416?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + o**3 + 7 - 4 - o**3 to the form v + u*o**3 + f*o**2 + c*o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 837 - 570. Which is greater: p or 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5176702 divided by -38\nAnswer: 136229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1103546041*y**3 - 45132*y**2 + 7592*y wrt y?\nAnswer: -6621276246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-6\/5))\/((r*r**6)\/r))\/(((r\/(r\/(r*r*r*r\/r**3*r)))\/r)\/r**(-5)))**(-2\/35) assuming r is positive.\nAnswer: r**(122\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 3*w**2 + 2*w**2)*(w**2 - 5*w**2 + 2*w**2) - 33*w**4 + 131 - 131 + 3*w**4 - 4*w**4 - w**4.\nAnswer: -31*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5098\/9 + 565. Let o = -1\/18 + h. Sort -2\/5, 0.2, o.\nAnswer: o, -2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3\/5*i**2 + 1\/5*i - 2\/5 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/4)\/(-1) - -5. What is the third derivative of -2*x**5 + 12*x**2 + j*x**5 - 9*x**2 wrt x?\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 15*p**2 + 11*p - 13. Let c(k) = -k**3 - 8*k**2 - 6*k + 7. Let h(r) = 11*c(r) + 6*d(r). Let y be h(-1). Solve -3*g - 3 = y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2. Let v(s) = 53760*s. Determine c(v(z)).\nAnswer: 5780275200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 - 480 = -37*a. Let r = 23 + 10. What is the smallest common multiple of a and r?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*o**2 + 24*o + 49\/2.\nAnswer: -(o - 49)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Suppose -42*i + 16 = -34*i. Find the first derivative of 7*q**i - 6 - f*q**2 - 3 + 4*q**2 wrt q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243642881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d*k**3 + 3*d*k - d - 877*k**3 + 248 wrt k.\nAnswer: 24*d*k - 5262*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 12:47 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**5 - 3*v**5 - 3*v**5)*(-4 + 4 + 1)*(-1 + 1 - 1 + (4 - 5 - 3)*(-1 + 2 - 3)) + (-6*v + 2*v + 2*v)*(-v**4 - v**4 + 4*v**4).\nAnswer: -39*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 21*y**2 - 23*y - 17. Let a be 14\/(-5)*((-180)\/8)\/9. Suppose 0 = -3*j - a - 59. Let n be r(j). What is the biggest value in n, -12, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 + 170 = -513*x - 299 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54276843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11436.98 and -494.\nAnswer: -11930.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(1053) - (4 + sqrt(1053)*2)) + -6*(4 + sqrt(1053)) + -4.\nAnswer: -18*sqrt(13) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217931.3087 rounded to the nearest 10?\nAnswer: 217930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -53.908. Let i = 857231 - 857230.9079937. Let z = i - u. What is z rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 152*q + 537. Give m(81).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -0.3, 7, -3, -1349, -2?\nAnswer: -1349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24512 - 24502. Solve 3*p = 4*z + a, -3*p + 22*z - 27*z = 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 23\/37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 11:28 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 23 + 0*u + 2*u)*(-2 - 2 - 1).\nAnswer: -10*u + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.9696 + -0.0304. Let a = -2.7 + -0.3. Which is greater: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/1 + 36 + -27. Factor 174 - 2*h - x*h**2 + 2*h**4 + 29*h - 6*h**3 - 190 - 3*h.\nAnswer: 2*(h - 2)**2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304057 (base 9) to base 6\nAnswer: -3505511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/11*(-2 - -2 - -2). Suppose 0 = -4*j - i - 25, -4*j = j - 2*i + 41. Let u be (3 - j)\/(-1 + 3). Sort c, -0.1, u.\nAnswer: -0.1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4222 + -5?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/2046792 and -99\/52.\nAnswer: 26608296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-78)\/(-2) - -1)*(-585)\/(-30). Let h(k) = 3*k - 19 - b*k**2 + 2*k + 782*k**2 + 15. Calculate h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-759)*(7 + 37)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 6. Let u = -9 + h. What is the common denominator of ((-3)\/(-20))\/(u\/29) and 85\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 102*t**2 - 68*t + 68. Suppose 9194 = -12*p + 10010. Let c(w) = w**2 - w + 1. Give p*c(s) - f(s).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13673113 bigger than 13673115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12332221442 (base 5) to base 7.\nAnswer: 242331146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 2\/9 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5153*b*s - 9186*s with respect to b.\nAnswer: -5153*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4737531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 212 + 15 - (-3)\/(-1). Is y\/10 - 2\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 938, 983, 1060, 1169, 1310, 1483, 1688?\nAnswer: 1925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 459 + -458.999999163. What is u rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -1.6. Which is the closest to 0? (a) z (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 1.374.\nAnswer: -1.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162683 is divided by 5123.\nAnswer: 4885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f*o*w**2 + 2*f*w - 172*o**2*w**2 - 6*o**2 - 13 wrt w.\nAnswer: -16*f*o - 344*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -110. Suppose 0 = -3*q + 4*t + 123558528 - 46458524, -t = j. What is q rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 10*b**2 - 2*b - 20. Determine k(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i - 85. Let r(a) = a**3 - 13*a**2 - 16. Let s be r(13). Let v = i + s. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*m + 12 = -212*m. Suppose 2*q - 73 = 3*y + 13, 43 = q - m*y. Calculate the remainder when q is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 4*r**2 + 3*r - 11. Let a be x(-5). What is the greatest common factor of 36 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 + 13*z**3\/6 + 9*z**2\/2 + 15*z. Is l(-13) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 15 = 27*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49037937 divided by -13.\nAnswer: -3772149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (13 - 5) - (-410 - -431).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 242?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -31.627975.\nAnswer: 9.4883925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/3 + 52*i - 155\/3 = 0. What is i?\nAnswer: 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2056433\/871 - 2361. Let c = -37 - -38. Is m bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t + 9*t + 6*t + 3*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -64386, 2, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -2\/7 (c) 1\/5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-108)\/(-160) + (-3)\/(-15) and 19\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308 divided by -140.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3267853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 2\/9 (b) -1 (c) 2\/7 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.094, -1.6, 2\/9, 0.5, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(132) - (sqrt(132)*1 - sqrt(132)))*3 - (4*(-2*sqrt(132) - sqrt(132)) + sqrt(132)))\/(4*-1*sqrt(1200) - sqrt(1200))*4.\nAnswer: 28*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12) + (-241)\/(-3). Let r = -47 - -79. What is the highest common factor of r and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**9\/3024 - x**7\/840 + x**3\/6 - 3*x**2. Let g(b) be the first derivative of a(b). Factor g(n).\nAnswer: n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3465926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -290016 - 2*l + 290016. Let j(u) = -4*u**2 + u**2 + 0*u**2. What is j(q(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5624*b - 4435 + 4434 - 4925*b)*(4*b - 4*b + 3*b).\nAnswer: -31647*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9613 - -5.6303. Let h = 4.17 - q. What is h rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 371270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-516)\/(-8)*((-115)\/(-138))\/(10\/(-8)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u. Suppose -3*q = q + 16. Calculate the lowest common multiple of 12 and x(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5)\/c)**(3\/8))**(2\/17)*(c**(2\/11)\/((c*c*c*c\/c**(-7)*c)\/c))**13 assuming c is positive.\nAnswer: c**(-263089\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/4)*x)**(3\/13)\/((x*(x\/x**(-1\/11))\/x*x*x)\/x**(-2\/23)))**(-44))**(-28\/5) assuming x is positive.\nAnswer: x**(-1064364\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 314928.6 centuries?\nAnswer: 377914320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 1.1252?\nAnswer: 4.1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 + 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*s + 5*p, 4*s - 17 = s - p. Suppose s*i + 4*f + 4 = -7, -3*i - 1 = f. Is i less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 17 = -5*v, 3*i = -4*v + 13. Find the second derivative of -p**5 - i*p - p**5 + 0*p**5 + 0*p wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(1331)*-3 + -2)*-1*-5)**2.\nAnswer: 264000*sqrt(11) + 23966000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172272731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v - 4*v - 2*b - 30, 5*v - 35 = 3*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**3 - 25*m**2 + 29*m - 90. Let p be v(11). Round p to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 64*c**5 + 182*c**4 + 98*c**3 - 20*c**2 = 0.\nAnswer: -2, -1, 0, 5\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 5748327?\nAnswer: 5748327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1)**(1\/4)*(y**0)**14 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**2 + 3*a**2 + 3*a**2 + 0*a**2 + 32*a + a**2 as t*a + i + w*a**2 and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300947779 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/60 + 5*o**4\/8 - 7*o**3\/3 + 6*o**2. What are the prime factors of r(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -2, -22, -62, -128?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -5*q**2\/2 + 8*q - 11. What is the first derivative of l(r) wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/56 (b) 2 (c) 0 (d) 0.2 (e) 4\/9 (f) 320\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*o**2 - 499*o**2 + 166*o**2 - 28641 + 170*o**2 - 3*o**3.\nAnswer: -3*o**3 - 28641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*d + d. Suppose 2*g + 72 = -0*g. Let v be (d\/2)\/(g\/16). Which is the third biggest value? (a) 1\/4 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 52 = -q - 67, z + 5 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002298809 rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14 + 15\/(-189)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**7*s)\/s*s*s)**38)**(3\/4) assuming s is positive.\nAnswer: s**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7707 and 11739?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -388608498 divided by -22266\nAnswer: 17453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16 + (-2 - (4 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63669.94ml in litres?\nAnswer: 63.66994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 40, 57, 74, 91, 108?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 11*n. Let r be t(5). Let k(q) = -q**3 + 6*q**2 - 4*q - 5. Let s be k(r). Which is the closest to s? (a) 0.1 (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**2 + 6*c + 6. Let k be (13\/(195\/20))\/((-4)\/(-6)). Let s(b) = -12*b**2 + 6*b**k + 10*b**2 + 9*b**2 - 11 - 11*b. Determine -11*g(o) - 6*s(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 39. Let p(b) = -y*b + 10*b - 5*b - 2*b + 2. Give p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 77*g - 248. Calculate the smallest common multiple of b(4) and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 78, 156, 270, 426, 630, 888, 1206?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 72, 1, -8.\nAnswer: -8, -3, 1, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 10*g**2 + 7*g - 15. Let n be s(-8). Let d = -197 - n. Solve -3*k - 5*a = -7, d*a - 5*a - 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49501*c*h**2 + 18*c + h**2 + 453327*h wrt h.\nAnswer: -99002*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1518 and -83\/9890.\nAnswer: 326370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 35*s**2 - 45 - 6*s**2 to the form a*s**2 + x + l*s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**7\/147 + c**6\/35 - 2*c**5\/105 + 5*c**2. Solve j(f) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -1 + -157 + 139?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 56 = -2*k + 360, 5*k - 5*x = 1030. Suppose 5*g - 45 - 110 = 0. Calculate the remainder when k is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10439797 - -0.2981061\nAnswer: -10439796.7018939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -4197.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2766.5760683 minus -0.4?\nAnswer: -2766.1760683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = 3*p, -3*p + 4*g + 8 = -p. List the prime factors of (p\/(-8) + -29*12)*-4.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**3 - 61*g**2 - 212*g + 5. Let c(y) = -11*y**3 + 123*y**2 + 423*y - 9. Let x(a) = -5*c(a) - 9*j(a). Suppose x(i) = 0. What is i?\nAnswer: -3, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let g(y) be the third derivative of y**4\/24 + 11*y**3\/6 - 2*y**2. Is g(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2191389 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:39 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15331879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*s + 11 - 66, 4*y = 3*s + 65. Suppose -2*z - 3*z = -y. Calculate the highest common divisor of z and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q + q)*((-3 + 1 + 4)*(-4 + 1 + 7) + 0 + 3 - 2) in the form w + o*q and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 5*b + l + 59, -2*b + 24 = 5*l - 80 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/6 + 10*q**3\/9 + 4*q**2\/3 - 145. Factor g(o).\nAnswer: 2*o*(o + 1)*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -652.54592 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 7*n**2 - 6*n + 2. Let j be l(6). Suppose a = -j*m + 6*m, -3*a = -m. Solve 3*p + g - 12 = 0, 2*p + m*g - 3*g = 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22827322*s + 21800574 wrt s.\nAnswer: -22827322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:20 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1859*r - 121. Let w(b) = 62*b - 4. Let l(u) = -4*m(u) + 121*w(u). Let q(s) = -435 + 205 + 3*s**2 + 230. What is q(l(v))?\nAnswer: 13068*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -377.4 - -377.1. Let n = 61\/104 + -6\/13. What is the nearest to 1.5 in g, 2\/3, n, -0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.698168kg in tonnes?\nAnswer: 0.006698168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 2 q when four letters picked without replacement from {i: 1, q: 2, b: 4, t: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80\/(-84) - 8\/(-12). Let m = -0.3 + 0.8. What is the nearest to a in 0.3, -1\/10, m?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 0.45. Let m = 0.05 - b. Which is greater: 6 or m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(5200) + sqrt(52))\/sqrt(4))**2.\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/968 and -29\/2662?\nAnswer: 10648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from ksszbszkkdkkzjs.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 4)\/(-1 - -2). Let a(g) = -7*g**2 + 5*g + g**3 - 1 + g + 2 + 0*g. Let y be a(6). Is u less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-6)*6390\/(-284). Put u, 5, -8 in decreasing order.\nAnswer: u, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80137, -320535, -721199, -1282129, -2003325?\nAnswer: -2884787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.216, 0.2, 8\/3, -706 in increasing order.\nAnswer: -706, -0.216, 0.2, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -3201 - 6006. Calculate the greatest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2305.394 + -2311. Let l = w - -5.7. Let m = -0.006 - l. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -3 + 3 - -1. Let s be v - (-2 + 0) - -3. Let o be (-16)\/(-104) - (-934)\/13. What is the highest common factor of o and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = -12*y + 93. Solve 4*z + y = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*3\/(-8550))\/(((-7942)\/228)\/(-209))?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 2*v - 5*v)*(4*v**2 - v**2 - v**2) + 4 - v**3 - 4 - v**3 + v**3 - 4*v**3 in the form c*v**2 + z + h*v + w*v**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 12, -29, -106, -231?\n\"Answer: -2*j**3 - 3*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 11 - 22 - 3*t)*(3360*t - 93*t**3 - 3360*t) to the form z + h*t + v*t**3 + s*t**4 + r*t**2 and give s.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*10\/(-3). Let p(g) = 2*g + 7. Let f be p(o). Let u be -5 + (-6 - f - -3). Which is the third smallest value? (a) u (b) 5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 237, 527, 1003, 1665, 2513, 3547, 4767?\n\"Answer: 93*u**2 + 11*u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -57?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.0662, 641?\nAnswer: -0.0662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 68 - (-26 - -6)) + 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kawwawaabwawbaababyw. Give prob of picking 2 b and 1 a.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-20))\/((14\/4)\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13.98 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32251299 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/643704 and -31\/643704.\nAnswer: 643704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, s: 5, c: 6}. What is prob of picking 4 y?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from npnpgqggvp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3639272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - -3 - 2) + -58 - (9356 + -9359)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let q(d) = 8*d - 12. Let g(r) = -r + 1. Let i(o) = 12*g(o) + q(o). What is i(w(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1197 divided by 63\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -2*l + 5*w, -5*l - 2*w - 128 = -457. Solve -2*i - 75 = -l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 480\/180*27\/6. Solve 0 = -m + 2*i + s, -3*m + 4*i + 32 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -26. Let k(q) be the third derivative of q**4\/8 - 3*q**3 + 11*q**2. Let v be k(6). Solve -j*r = -v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130)*-2)*-1*4)\/(sqrt(30)\/(2*sqrt(3)) - (sqrt(10)*1*-5 + sqrt(10))).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -477692 + 477703 - 144*g**3 + 31*g**3 in the form r*g**3 + j*g**2 + f + o*g and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 128462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srksgbk. What is prob of picking 1 r, 1 b, 1 k, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -140245, -280489, -420737, -560989, -701245, -841505?\n\"Answer: -2*m**2 - 140238*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + l - 5 - 6 = 0, 3*l - 9 = 0. Suppose n = -q*j + 17, 0*j + 3*j - 9 = -2*n. Let c be 2 - (-3 + 4 - n). Is -2 != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 0\/1)*54. Calculate the remainder when m\/4 - 4\/(-8) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148623 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*a**2 - 2421*a**3 + 2419*a**3 + 29*a + 84*a**2 to the form w*a**3 + n*a**2 + z + v*a and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -49) + -1 + 1 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 585000*q. Let r be w(1). Let l be r*(-3 + (-58)\/(-6)). What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1782583064, -1782583063, -1782583062, -1782583061, -1782583060, -1782583059?\n\"Answer: h - 1782583065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.3. What is the closest to 1 in 4, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3*t)*(2*t - 6*t + 3*t) - 53*t - 3*t**2 - 23*t + 24*t**2 + 69*t - 4 to the form z + v*t**2 + g*t and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 - 5*j**2 - j**2)*(11 - 11 - 8*j)*(1 + 11 - 3) to x*j + c + z*j**2 + q*j**3 and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 at most 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4 - 13 = 0. Suppose 5 = t*h - 2*h. Suppose 0 = -h*z + z + 76. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 16\/3 - 4\/3*f**3 + 4\/3*f - 6*f**2 + 2\/3*f**4 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30468*j**2*y**3 + 10410*y**3 + 2*y wrt j.\nAnswer: 60936*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 697\/445 - -3\/89. Factor 2\/5*k**3 + z*k - 8\/5*k**2 + 0.\nAnswer: 2*k*(k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 135\/(-35))*(-14)\/(-4). Let t(o) = o + 46. Let f be t(w). Which is smaller: 57 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*t + 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (3*(sqrt(99) - 1*sqrt(99)) + sqrt(99) - sqrt(99)))\/(sqrt(144) + (sqrt(144) - (sqrt(144) + sqrt(144)*2)))*2 + 4)**2.\nAnswer: -4*sqrt(11) + 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 4, n: 2, z: 6, k: 2}. Give prob of picking 1 q, 1 n, and 2 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y - 7*y + 3340 = -22*y + 473 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a - 3. Let o = 3 + -5. Let k be h(o). Suppose x = -4*p + k, -5*p + 2*x + 6 = -3*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287 divided by -344\nAnswer: -287\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2386315, -2386411, -2386507?\nAnswer: -2386603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2492 - -6903. List the prime factors of q.\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213154 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3307397 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2433, 4853, 7273?\nAnswer: 9693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 113*179\nAnswer: 20227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24\/64*4)\/((-160)\/(-192))*15\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 244*l + 232*l - 650*l + 217*l. Let z(h) = -7*h**2. What is z(m(p))?\nAnswer: -12943*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-1)*j)*j)**(-36))**(15\/7))**(-24))**(-3\/43) assuming j is positive.\nAnswer: j**(-38880\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3870, -3873, -3880, -3891, -3906, -3925?\nAnswer: -3948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7180*32.6.\nAnswer: -234068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64166706.\nAnswer: 2, 3, 3564817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -36?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2448422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*w - 6 = 0, 0*z = 2*z + 3*w - 6. Let l be 8 + z + 24\/(-8). Suppose 3*p + 4*r - 8*r - 30 = 0, -l*p = 3*r - 79. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 5)*(-o**4 + 2*o**3 + o**3 - o**3) + 2*o**4 + o**4 - 5*o**4 to n + d*o**3 + v*o + x*o**4 + c*o**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 2*s + 2. Let v be x(3). Let u be (-1)\/(-2) + 105*63\/270. Put 2, u, 4, v in ascending order.\nAnswer: v, 2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g - 29. Let y(d) = -2*d + 10. Give 4*k(f) + 11*y(f).\nAnswer: -2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -10*b + 1\/2*b**3 - 5*b**2 + 0 + 1\/4*b**4. Is 5 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 = b, -5 = 5*b - 4*a - 1. Suppose b = -4*q - 18 + 66. Calculate the common denominator of 113\/20 and (-267)\/36 - (-8)\/q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44275413 and 2?\nAnswer: -88550826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q + 0*q)*(-3 - 1 + 0)*((6*q - 2*q - 3*q)*(5*q - 2*q - 2*q) + (q + 2*q - 2*q)*(1 - 1 - 6*q) - 30*q + 10*q**2 + 30*q).\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a - 4. Let d be (-284)\/(-6)*(-24)\/10. Let i = 114 + d. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 30 = 8*p, 5*p = -4*i + 3618. Calculate the lowest common multiple of 247 and i.\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, z: 8}. What is prob of sequence zzzy?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4507608?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 354 and 253165536.\nAnswer: 253165890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-630)\/715 + 2\/13. Let a = k + 2\/33. What is the second smallest value in a, 1\/2, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 812286 and 49914?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - (58 - 62 - (-3 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 1)*-6.\nAnswer: -54*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-8 - 3) + 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5782\/(-147) - -19*2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) 0.129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 26, -5.4, 1\/7, 2\/5, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 15. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100a25 (base 11) in base 3?\nAnswer: -22020121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43642 is divided by 63?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 1 - 2 + 2)*(-5 - 4*a + 2*a + 3) - 2*a**2 - 3*a**2 + 3*a**2 + (0 + 0 + 2)*(2*a**2 - 5*a**2 + a**2) to z + l*a + b*a**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/37, -5, -1\/6, -2.9 in decreasing order.\nAnswer: -1\/6, -10\/37, -2.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*l + 83*l - 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 146382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 0)\/(2\/(-2)). Solve -2*j + 5*m + 4 = 0, 0 = -k*j - 3*m - 0 + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/12)\/(1\/15*1). Let o(k) = 21 - 2*k + k**2 - 9*k + 3*k. Let p be o(s). What is the highest common divisor of p and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1057.47 + -1.53. Is -0.1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-28) - (-50)\/14. What is the highest common factor of 44 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 5 - (7 + (-344)\/64). Let h = 2 + -2.1. Put 5, h, m, 3 in decreasing order.\nAnswer: 5, 3, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 0 in decreasing order.\nAnswer: 8, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 27.51.\nAnswer: 24.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p*p*p)**13 assuming p is positive.\nAnswer: p**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702 and 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4fa4bb + -63?\nAnswer: -4fa51e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1753*c - 4*c**2 - 36 + 7*c**2 + 1751*c)*(5 - 2 - 1).\nAnswer: 6*c**2 - 4*c - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s + 326 + 1729 = 117 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.03 + -0.47. Let h = -221.5 - y. Let w = h + 211.999829. What is w rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54684*m*v**2 + m*v - 129164*m with respect to v.\nAnswer: -109368*m*v + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -1.05 (c) 1 (d) 3\/5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15353915, -15353913, -15353911, -15353909, -15353907?\n\"Answer: 2*o - 15353917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11))**(3\/10)*(d\/(d*d**16)*d)\/(((d*(d\/(d**(-25)*d))\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(-413\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50937133 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/4 (c) -3.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 3, 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057533 to 5 decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = -0*w. Let m = 11 + w. Suppose 4*n = 5*c + 1218, 6*c - m*c - 618 = -2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) - -2*sqrt(392))\/sqrt(8) - sqrt(196)\/(-1*sqrt(4)))\/(((sqrt(504)*-1)\/sqrt(12))\/sqrt(6)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 210 = 5*z, -2*z - 160 = 4*c - 8*c. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-60)\/48)*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/9, 208794427.\nAnswer: -2\/9, 0, 208794427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/71, 5, 0, -3\/16 in ascending order.\nAnswer: -3\/16, 0, 2\/71, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 2\/27*h**3 + 0*h**2 + 0*h - 3. Let g(l) = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39357?\nAnswer: 3, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -4 (b) 31 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + 1.42. Let z = v + 0.18. Which is the nearest to -3? (a) -4 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051265153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1113, 1, 6 in descending order.\nAnswer: 1113, 6, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/967 and 24\/695273.\nAnswer: 695273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 557, 1368, 5 in decreasing order.\nAnswer: 1368, 557, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -18. Let w = 8 + -10. What is the smallest value in g, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*b - 991 = 0, 4*w + 5*b - 3949 = -0*b. What are the prime factors of w?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593.33 rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.740329 + 8.\nAnswer: 8.740329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414722 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 331465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 271564246 to the power of 1\/2, to the nearest integer?\nAnswer: 16479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/19 in -38, -4\/5, 5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -374. Is m equal to 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 1\/1220 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -6*g - 9 + 8*g**3 + 15\/4*g**4 + 3\/2*g**2. Factor i(k).\nAnswer: 3*(k + 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5472\/(-40))\/((-100)\/(-375))*1\/(-9)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 12:37 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k + 4*f = 40, 2*f = -3*k + 22. Which is the nearest to -1? (a) -5 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*x - 232 = -205, u - 2*x - 8 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*j**3 + 40*j**2 wrt j.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 12?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oddxxxopxxx. Give prob of picking 1 x and 1 d.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -3*a**6\/40 - a**3\/6 + 5*a**2. What is the first derivative of r(o) wrt o?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 248184489*a - 158471294 wrt a?\nAnswer: 248184489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k - 2. Let i(d) = 19*d + 3. Let p(o) = -7*b(o) - 5*i(o). Let c(a) = -3*a. Let f(y) = 6*c(y) - 4*p(y). Let q be -2 + -2 - 1*-7. Determine f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22693513 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 15) + (-5 + 2 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:38 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 578*u\/5 - 40748\/5.\nAnswer: -2*(u - 167)*(u - 122)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28055 - 5361 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 9*n + 19 = 4*h, 0 = 3*h + 3*n + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (-3 - -5) + -11 - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 7*t + 4 = 0. Suppose 3*z + f - 3 = z, 6 = -2*f. Suppose -24 = 3*k + z*s, -2*k + 4*s + 5 + 9 = 0. Put t, 1, k in descending order.\nAnswer: t, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 - -193. Suppose -g = -8*b + 10. Solve 0*n - 2*v = -n + b, -12 = 4*n + 4*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 20 = 0. Let p be (h\/(-15))\/(2\/(-108)). Let s = p + -14. Solve -2*i - s = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2*5)**2 + (2*sqrt(190)*-4)\/sqrt(10) - (5 + -2*sqrt(114)\/(sqrt(18)\/(sqrt(3) + sqrt(3) + sqrt(3) + sqrt(27) + sqrt(3)))).\nAnswer: 6*sqrt(19) + 229895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2551938, 2551945, 2551956, 2551971, 2551990, 2552013?\nAnswer: 2552040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -724.68 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*u - 153 = 0, 0 = -s + 542*u - 541*u + 79 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*n + r - 0, 3*n = 4*r + 29. Suppose 0 = n*y - 8*y + 55. Solve -j + y = -4*v - 2*j, 2*v + 4*j + 2 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10742998 rounded to the nearest one hundred thousand?\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h**2*y**2 + 50*h**2 - 2*h*y**2 + 4*h*y - 211*h wrt h.\nAnswer: 24*y**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -113.03*-0.379\nAnswer: 42.83837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (104860\/294)\/107*18\/(-1)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 45553 = 3*i + b, 0 = -2*i - 4*b + 30370. Let f = i + -9266. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5579.8, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -20, 4, -3, -4, 408 in decreasing order.\nAnswer: 408, 4, 3, 0, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(91\/52)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 194*q - 195.\nAnswer: (q - 1)*(q + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3554*v**5 + 26*v**2*w - 2*v*w + 16*v + 133*w wrt v.\nAnswer: 71080*v**3 + 52*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 9, -5, 4\/9, -1, 3, 14.\nAnswer: -20, -5, -1, 4\/9, 3, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*g - 6012 - 432 = 6191 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4432*t + 2355*t + 2077*t - 11*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299.655814 - 0.090814. Let k = 301 - s. Round k to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 484547330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 6*c + 7. Let w be o(-5). Let d(x) = -x**2 + 6*x + 15. Let j be d(7). Suppose -j = -2*z - w*z. Let m(h) = -h + 1. Calculate m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-9)\/2 - -3)*10\/6 and -33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 3, 2\/11923 in descending order.\nAnswer: 3, 0.7, 2\/11923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6759833 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -8 - (-2 - -6))*-97. Suppose -101*n + s*n + 80 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 17*s - 41. Determine y(-17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40*5\/(-30)*-3. Suppose -o = 2*v - 140. Suppose w + v = 185. Calculate the highest common factor of 50 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14 - 102647903.74434.\nAnswer: -102647903.60434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 330*t - 4924. Give n(16).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h. Let p(u) be the third derivative of -4*u**5\/5 - 51*u**2. Determine k(p(f)).\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 820 or 814?\nAnswer: 814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83405099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -183, -1206, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {y: 2, k: 3, w: 6, d: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + 0 + (3 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4079768 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484804.\nAnswer: 2, 19, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32213 (base 4) to base 9.\nAnswer: -1248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -782, -786, -792, -800, -810?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - 155\/1488*-496?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-605)*(-140)\/(-98).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -133*r. Let n(m) = 57*m**2. Determine x(n(u)).\nAnswer: -7581*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 290.5*-251\nAnswer: -72915.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/16377662 and -23\/18717328.\nAnswer: 131021296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 4*v - 7. Let x be r(6). Suppose -x*b + 2 = -3. Let o(n) be the third derivative of -n**5\/30 - n**4\/24 - n**2 - 2. Determine o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 3 + (-15 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3346 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 - -402?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 536283529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375152 or -375150?\nAnswer: -375152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 842*t = 6512 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*x + 36, 3*x - m = -5*m - 45. Let q(l) = -l**3 - 11*l**2 + 12*l + 19. Let i(p) = p - 1. Let r(f) = -3*i(f) - q(f). Is r(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403834474?\nAnswer: 2, 7, 100273891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -4, 16, -29\/8, 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34399797*j*p**3 - 28*j*p**2 - 105171*j + 3*p**2 wrt p.\nAnswer: 206398782*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39177, -78270, -117365, -156462, -195561, -234662, -273765?\nAnswer: -312870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/9, 0.06355, 37?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292583.\nAnswer: 23, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.49265 grams in nanograms?\nAnswer: 91492650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 21*g + 440 = 0. Solve 0 = -5*o + p - 9, -4*o + 5*p - p - g = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1444*d**3 + 65892*d**2 + 389340*d + 619164.\nAnswer: 4*(d + 39)*(19*d + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2361036771.\nAnswer: 3, 251, 673, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1150471941*x**4 - 2312831*x - 208.\nAnswer: -13805663292*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2))\/u)**39\/(u**(3\/7)*u)**48)**(-28) assuming u is positive.\nAnswer: u**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/30*((-2)\/(-2))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/13)*k)\/k**(2\/15))\/(k**(2\/3)*k)**8 assuming k is positive.\nAnswer: k**(-2461\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**2 - 6*y - 2*y + 4*y - y**2 wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 11) to base 9\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5 (c) 3\/4 (d) -4\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 6, v: 9, g: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75467*d - 75472*d + 150945*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(48))*1)**2 + 3.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*r**2*z**2 + r**2*z - 6*z**2 - z + 7 wrt z?\nAnswer: 44*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*i**2 + 60*h**3*t**2*w - 57*h**3*w - 3*h**2*i**2*w - 4*h**2*t*w + 7*h**2 - 28*t**2*w wrt h.\nAnswer: 12*i**2 + 360*t**2*w - 342*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(-3)*h*h*h**1*h*h\/(h**5*h)*(h\/((((h**(-3)\/h)\/h)\/h)\/h))\/h assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 28*f - 9*f**2 - 28*f + (f - f - 2*f)*(-408 + 408 - 3*f**2).\nAnswer: 7*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 13*d - 4*d - 75*d**2 - 9*d.\nAnswer: -78*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1141 - -2239\/2. Let u = m + 20. Let v = -0.06 - 1.94. What is the biggest value in -6, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let y be (-101 - -99)*(-1)\/2. Let g(f) = 4*f + 6. Give y*g(q) - 3*v(q).\nAnswer: q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*k - 2 + 481*k - 944*k.\nAnswer: 13*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3) - sqrt(13))*-5 - (sqrt(832) + -2)) + -5.\nAnswer: -8*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t, 0 = -2*n - 0*t + t + 513. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a factor of 442564872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 at most as big as 5459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 243.2, -1\/5, 0, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**4\/4 - 2*f**3\/3 + f**2\/2 + 2*f + 4. Suppose h(o) = 0. Calculate o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*48\/168 + 1 + 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 15 - 3*a**2 + 3)*(-1 + 4 - 2) as u + g*a**2 + b*a and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-6) - 1\/3. Suppose 3*f = -23 - 22. What is the units digit of ((-4)\/(-10))\/(q\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 983 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - -1) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) -1\/3 (b) 0.4 (c) 0.02 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489*y = -2*h + 488*y + 4225, 0 = -5*h - 4*y + 10561. What are the prime factors of h?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l. Let w(q) = -q. Let x be w(-2). Suppose x = -s - 3. Let y(t) = -t**2 - 6*t + 1. Let d be y(s). Let g(v) = -9*v. Give d*g(k) + 14*f(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**5\/5 + 3*q**4\/4 - 2*q - 6. Let c(w) be the first derivative of x(w). Find the third derivative of c(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 24. Suppose -i = 3*z - 4 - 9, h = 3*i - 2*z. Determine n, given that -n**4 + 4*n**3 + 12*n**2 + 5*n + 5*n**i - n + 8*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32313 (base 4) to base 5\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 33*i - 136. Let l be w(16). Let k = -248 + l. What is the lowest common multiple of k and 20?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2031*y**2 + 1 - 1602*y**2 + 2*y + 5515*y**2 in the form a*y**2 + i*y + l and give a.\nAnswer: 5944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 10*x + 102. Is p(31) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5032 and 2812592.\nAnswer: 47814064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + 0) - (-19 + 23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - (66\/1 + -76)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 7200 = 10*d. Let p be ((-60)\/d)\/((-4)\/(-10)). Let y = 45\/2 + -22. Which is the nearest to p? (a) -2 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -97680 greater than or equal to -5372358\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 + 15 + -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195616 divided by 1.\nAnswer: 195616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4343?\nAnswer: 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 15 + 3 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*d - 6, 2*r + 2*r + 3*d = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 11. Let f = 126.5 - 126. Which is the smallest value? (a) f (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 130*w**3 + 107*w**3 + 107*w**3 + (w - 3*w + 0*w)*(-5*w**2 + 3*w**2 + 0*w**2) + (2*w**2 + 2*w**3 - 2*w**2)*(1 + 1 - 4).\nAnswer: 344*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21757023*c**2 + 321346*c - 22 wrt c.\nAnswer: 43514046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 1 - -12 - 4) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 11217.297?\nAnswer: 11217.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.75 + -4.726. Let v = z + 0.076. Let x = -5 + 5.6. Is v less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2023 = -1608*r - 3829 - 580 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 12. Let j(f) = -204*f**2 + 12. Determine -d(i) + j(i).\nAnswer: -204*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 22 = 5*v, -v = 3*z - 5*v - 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9159513, -9159502, -9159475, -9159426, -9159349, -9159238?\n\"Answer: a**3 + 2*a**2 - 2*a - 9159514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4161462, 8322921, 12484380, 16645839?\nAnswer: 20807298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 7*t + 13. Let m be -1 - 0 - (-5 + 1). Let d(a) = 51 + 2*a**2 + 57 - 102 - m*a. Determine 13*d(f) - 6*r(f).\nAnswer: 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 379, 571?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i**(-2\/15)))\/(i*i\/(i*i**2*i)*i))\/(i**(-3)\/((i*i**(1\/6)*i*i)\/i)))\/(i**(-3\/5)*i**(-2\/13)\/i*i**1*i**(-1\/6)) assuming i is positive.\nAnswer: i**(1603\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -128. Let i = 61\/275 + -1\/25. Which is the closest to -1\/2? (a) f (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbnbbzbzblzzz. What is prob of picking 1 l and 3 z?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -5*o + 4*s, -5*o + 11*s + 116 = -11*s + 19*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.830013994 - 55.83. Round n to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30723012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(-2\/5)\/y)\/y)*y*((y\/((y*y**4)\/y))\/y)\/y)\/(y\/((y*y\/(y*y**(-1\/3))*y)\/y*y))**26 assuming y is positive.\nAnswer: y**(496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6680 is divided by 452.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/3 + 23410*g\/3 - 1307824\/3 = 0. What is g?\nAnswer: 56, 23354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0212 + -3.4212. Let g be ((-4)\/40)\/((-4)\/30). Which is the biggest value? (a) g (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 + i**5\/15 - i**4\/6 + 7*i**3\/6 + 2*i**2. Let s = 154 - 159. What is h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(931) + sqrt(931) + 5 + 5*(-3 + sqrt(931)))**2*-6.\nAnswer: -140250 + 4200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p**3\/3 - 8*p**2 - 19*p + 52. Let h be a(-7). Let d = 7 - 10. Put d, 4, h, 1 in descending order.\nAnswer: 4, 1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-9)\/204*-2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 0.06 (c) 0.5 (d) 3 (e) 13 (f) 18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 895 = 80. What is the second derivative of 371*i + 3*i + 77*i**2 - 6*i - k*i + 27*i + i**3 wrt i?\nAnswer: 6*i + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((84\/(-14))\/(-2))\/(2\/2*-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-744)\/60 + (5 - -6). Let q(r) be the first derivative of -x*r**5 + 0*r + 0*r**2 + 4\/3*r**3 - 25 + r**4. Factor q(u).\nAnswer: -4*u**2*(u - 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.407 to one dp.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 523*a - 24745. What is h(47)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*n + 187*n - 4*w + 376 = 0, n + 2*w - 32 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (sqrt(9)*-1 - sqrt(9)))*5)\/sqrt(3).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/12 and (-741)\/157 - (-259 - -254).\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -1\/6*g**5 - 3\/2*g**4 + 23\/2*g**2 + 17\/6*g**3 - 10 - 8\/3*g = 0.\nAnswer: -10, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 137, 546, 1229, 2186?\n\"Answer: 137*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g**2 - g - 3. Let n(a) be the third derivative of a**6\/40 - a**5\/30 - a**4\/8 - 4*a**3\/3 + 2*a**2 - 23. Give 3*n(q) - 8*u(q).\nAnswer: q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -397, -420, -467, -544, -657, -812, -1015?\n\"Answer: -o**3 - 6*o**2 + 2*o - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18606*u**2*y - 5*u**2 - u*y + 13781*u + 4*y wrt u.\nAnswer: -37212*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -0.02. Let w = z + -2.94. Let t = w - -2.7. Which is the third biggest value? (a) t (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 3) in base 16?\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + -29 + (-7 - (-16 - (6 + -14))).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64234 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 + 28. Does a = -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 453339 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 313277589?\nAnswer: -626555178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*66\/(-9)*(198\/88)\/((-6)\/(-16)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-5 - 3) + 0 + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1188 + 244 + 544)*(-2 + 2*q + 2).\nAnswer: -800*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 5 = 40*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -38799*v + 77601*v - 1 - 38801*v + 3. Let b(y) = -y - 2. Calculate -3*b(s) - 2*q(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 13*g. Let k be i(-12). Let f = k + 21. Let n be (f\/(-6))\/(1\/(-2)). Solve n = -0*x - 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, -3.\nAnswer: -4, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421 - 3*b**3 + 238 + 213 + (2*b**2 - 7*b**2 + 3*b**2)*(b + 5*b - 5*b) + b**3 - b**2 + b**2 to f + k*b + w*b**2 + i*b**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - z - 90 = 0, 4*p - 10462*z - 360 = -10488*z for p.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 10*u**2 - 9*u + 5. Let d be c(-9). Suppose -f - 4 = 0, -d*r - 3*f = -2*r + 3. Factor -9*z**r + 2*z**4 + 0*z**4 - 2*z**4 + 3*z**4 + 6*z**2.\nAnswer: 3*z**2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 11) to base 5.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60, 117, 172, 225, 276?\n\"Answer: -w**2 + 60*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/96 and 89\/72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1010001 (base 2) to base 13\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose 3*n + 18 = -d + 50, -o*n - 3*d = -33. Let l = 0 - -5. What is the remainder when n is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*v - 100*v - 210 = 0. Let l be (1170\/(-75))\/((-2)\/v). What is the highest common divisor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76665 is divided by 67?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 1, o: 2, c: 1}. What is prob of picking 1 o, 1 p, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -43*d + 19. Let x(f) = -31*f + 12. Let z(h) = -5*n(h) + 8*x(h). Give z(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*j - 25770 = 0, 2*t = 4*t - 2*j - 12880. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**2 - 3*h - 3. Let r(m) = 6*m**2 + 4*m + 4. Let f be (-2)\/(-2) - (-4 + 1). Suppose 2*v = -0 + 6. Calculate f*a(i) + v*r(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1513063117 rounded to five dps?\nAnswer: 0.15131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*b + 26, -20*z + 10 = -25*z + 5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -245 + 266. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10265 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (5 + 3*(1*(sqrt(128) + -1 + sqrt(128)) + (sqrt(128) - (sqrt(128) + 1 + 4)) + sqrt(128)))**2.\nAnswer: -1872*sqrt(2) + 10533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 4*r**2 - 3*r. Let d be (-3)\/(2*(-2)\/12). Suppose 0 = 4*n, -3*t - 30 = 4*n - 6. Let p = d + t. Let l(x) = x**2 + x. Determine p*o(v) + 4*l(v).\nAnswer: -v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -40. Let t(x) = -19*x**3 - 13*x**2 - 13*x + 9. Let y(p) = -9*p**3 - 6*p**2 - 6*p + 4. Determine w*y(j) + 6*t(j).\nAnswer: 3*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {t: 3, a: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/2 + 39*t**4 - 870*t**3 + 4324*t**2 - 8064*t + 5184 = 0?\nAnswer: 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -1752, -2776, -3800, -4824?\nAnswer: -5848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -753 - -757. Calculate the least common multiple of 714 and z.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2841, 11379, 25609, 45531, 71145, 102451?\n\"Answer: 2846*d**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**8\/1680 + u**7\/420 + u**6\/360 + u**3\/2 - 4*u**2. Let j(l) be the first derivative of m(l). Suppose j(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqmfooodfmtotoff. What is prob of sequence ft?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r - 100. Calculate t(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5 = 2*r, -5*k + 2882128 = 4*r + 2882127 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.65 - 1. Let q = x + 0.05. Let b = -1.6 + 2. What is the smallest value in q, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 317?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*i - 303*i + 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -584*t - 1827. Calculate c(-2).\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*c - 10 - 11 - 35 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407399, 407756, 408099, 408422, 408719, 408984, 409211, 409394?\nAnswer: 409527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209 + 329. Does 40 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -171\/8. Which is the smallest value? (a) -1 (b) -4\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Suppose 0 = -t*g + 3*o + 341, -g - 4*o = 2*g - 469. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n - 30. Let d be z(-12). What is the units digit of d\/4 - 12\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4)*(540\/(-525))\/(-9)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 9. Let j = -7 + n. Let k(h) = 3*h + 1. Let y be k(j). Solve -q - y = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -3 + 9 + -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 4*c**3 - 3*c**3 + (0*c**3 + c**3 - 3*c**3)*(4 + 0 - 2) - 6*c - 3 + 6*c - 3*c**3.\nAnswer: -4*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*t - 6. Suppose -t*o + w = -12, -5*w + 15 = 3*o - 9. Let v be 2\/(-2) - (-1 - o). What is the highest common divisor of 6 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5605 is divided by 846?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-12))\/((-10)\/(-10210)). Let f = n - -85. What is the closest to f in -4, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4327.98 - -4328. What is the second smallest value in 1\/4, o, 11, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*f - 5 = -90*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13553 - -13677. Let l be 2*(5\/2 + -1). Suppose -v = l*x - w, -x - 1 = 4*v - 57. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 22723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156639524 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -14*j - 34 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1922.94 + -1923. Put -2\/7, -2\/15, s, 1 in descending order.\nAnswer: 1, s, -2\/15, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 454080 and 1915.\nAnswer: 173912640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47943 is divided by 976?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/20)\/(((-5)\/6*-1)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**3 + 59*o**2 + 147. What is f(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.4, 363, 2\/5, -5793?\nAnswer: -5793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + p - 5 - 3*p - 2.\nAnswer: -2*p - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*v**2 - 7 - 2 - 2*v + 6 - v**4 - 7*v wrt v.\nAnswer: -12*v**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(1\/6)*c)\/c)**(3\/7)\/(c**7\/c**13) assuming c is positive.\nAnswer: c**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 55. Suppose -q - 4*q = 5*n + 5, -5*q + o = -2*n. Suppose -6*l = -8*l + 14. What is the remainder when l is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(152) - (sqrt(152) + sqrt(152)*2)) + sqrt(152)) + (2*1*sqrt(152) - sqrt(152)))\/((sqrt(144)\/(2*sqrt(6)))\/sqrt(3)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703*h - 698*h + 6 - 96 = 0. Solve h = -39*j - 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15633 and 10422.\nAnswer: 31266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*r**3 - 3330*r + 3330*r.\nAnswer: -227*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {f: 4, h: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 15*w, -r - 6*w + 3*w + 695 = 0. Calculate the smallest common multiple of 1529 and r.\nAnswer: 7645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/2 - 36089*l**4 - 216549*l**3\/2 + 216529*l**2 + 1010522*l + 866172 = 0?\nAnswer: -2, 3, 72181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 - 10*w**2 - 2*w. Let g(t) = -t**3 - 2*t**2. What is -5*g(m) + v(m)?\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12564*-438\nAnswer: -5503032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47\/114 - -8\/19. Calculate the common denominator of 99\/4 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 10464*l**2 + 127086*l**2 - 35248*l**2 + 116831*l**2 - 1.\nAnswer: 219133*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.08 and 2.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.3 + 82.9. Let t = 38.5836 - x. What is t rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in -2\/13, 6, -5, -2\/297?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10\/7 (b) -0.3 (c) 5 (d) -3 (e) -119 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**7\/1155 - 29*f**6\/660 + 7*f**5\/22 + 1921*f**4\/132 - 4046*f**3\/33 - 2735*f**2. Let x(i) = 0. Calculate i.\nAnswer: -7, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + o**3 + 2 - 11 - 1 - 3*o**2 + 8 to the form j*o + t + i*o**3 + s*o**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 1. Let z(n) = -4*n - 4 - 5*n - 3 + 5*n. What are the prime factors of z(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 - 452. Let h = 214 + v. Let m = 5 + 3. Which is the closest to h? (a) -3 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.081 (b) -3\/5 (c) 2\/11 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2439452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 10*r + 243 = 7*r. Let m(p) = -22*p + 208. What is m(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 - 1.09014812.\nAnswer: -115.09014812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 7) to base 5.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = -60. What is the remainder when 23 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 11*j**2 - 6*j - 99. Calculate y(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, z: 5, b: 2, o: 7}. What is prob of picking 1 w and 2 z?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -25, -p + 2*d + 4 + 9 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2. Let b(r) = -8*r - 7. Let t(k) = -k - 1. Let m(s) = -3*b(s) + 21*t(s). Determine x(m(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 18*c - 2. What is the remainder when v(4) is divided by ((-45)\/63)\/(11\/(-539))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -28*b + 12. Let f be o(-9). What is the second derivative of 15*d - f*d**4 + 271*d**4 - 6*d wrt d?\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -5671, -1, 4.\nAnswer: -5671, -1, 4, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363.\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -767\/1254 - -49\/114. What is the second smallest value in 0.32, f, -28?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66140 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.89167 + 0.22867. What is p rounded to one decimal place?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078442 < 5078442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15644295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1 - 7*a**2 - 28571*a**3 + 14282*a**3 + 7*a + 14283*a**3. Let k(v) = -5*v**3 - 6*v**2 + 6*v + 1. Calculate 7*k(i) - 6*w(i).\nAnswer: i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -119*p + 9050. Give z(76).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304175361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 231039.4ml?\nAnswer: 231.0394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/3))**22)**38*(c**(-2)\/((c**(-1\/10)\/c)\/c))**49 assuming c is positive.\nAnswer: c**(33587\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + (sqrt(68))**2 + sqrt(17))*2.\nAnswer: 2*sqrt(17) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -1 + 9. Suppose 0*y - 2*f + l = -3*y, 0 = -y - 5*f + 5. Calculate the common denominator of 97\/4 and 90\/16 - y - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + -4.2. Put x, -0.4, 17 in ascending order.\nAnswer: -0.4, x, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and 5.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-2*j**3 + j**3 + 3*j**3) - 4*j**2 + 4*j**2 + j**3 + (j + 2 - 2)*(2*j**2 + 4*j - 4*j) + 7*j**3 - 3*j**2 + 3*j**2.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u - 51*u = -21. Solve -2*v = -7*v - 3*f - 12, 4*f + 16 = u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + a32?\nAnswer: a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43069181, 43069178, 43069175, 43069172, 43069169, 43069166?\n\"Answer: -3*l + 43069184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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 value in -0.2, -1584\/7, 134?\nAnswer: -1584\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77054636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*y + 10, -d - 4*y + 2 = -y. Suppose 3*x = 7 - 1. Calculate the common denominator of -71\/16 and x + (d - (-123)\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 50 = -20*w. Factor 2*h**w + 2612 - 2613 + h - h - h**4.\nAnswer: -(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6 = 3*z. Is 8 a factor of (z - 6*-8) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 2*q**2 - 2*q**2)*(-5*q + 3*q - 3*q**3 + 2*q**3) + 38*q**5 + 109 - 109.\nAnswer: 35*q**5 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.4 + -39. Let x = 1.9 - 4.9. Let r = 6 + -6.4. Put j, x, r in decreasing order.\nAnswer: j, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 10 + 5. Let k(b) = -5*b - 21. Let t be k(-6). Let n(v) = -v**3 + 11*v**2 - 19*v + 12. Let o be n(t). Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 24, -3, -62, -165, -324?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 863*r**3 + 32*r**2 + 75*r + 8. Let c(w) = 576*w**3 + 21*w**2 + 50*w + 5. Let y(v) = 8*c(v) - 5*g(v). What is the third derivative of y(j) wrt j?\nAnswer: 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 30.\nAnswer: 5, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2859 + 2856 - 166*y + 2858 + 112*y + 2860 - 11433.\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 54*q**2 + 68*q + 11. Let t(h) = -27*h**2 - 34*h - 6. Let n(p) = -11*t(p) - 6*z(p). Find the second derivative of n(b) wrt b.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/145 - -2828\/1305. Let w = 22\/9 - k. Factor 0 + 4\/9*u**2 + 0*u - w*u**3.\nAnswer: -2*u**2*(u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 289 - 289.0378. What is w rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419112820.\nAnswer: 2, 5, 7, 2993663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, -54 in ascending order.\nAnswer: -54, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k - 17*k**2 + (-27 - 17 + 37)*(-4*k**2 + k**2 + 2*k**2).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + p = 1, -675*p = 3*g - 674*p - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5096 = -3*v + 1201. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648619?\nAnswer: 13, 59, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 9:34 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500)*4)**2 - (sqrt(125)\/(sqrt(5)*-2) - sqrt(25))\/sqrt(5).\nAnswer: 3*sqrt(5)\/2 + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m**2 + 46*m - 8. Let q be n(3). Solve 0 = -x - 7*x + q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 99*h**2 + 22. Let c(i) be the first derivative of 14*i**3\/3 + 3*i + 134. Calculate -3*a(z) + 22*c(z).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 6. Let g be q(-6). Suppose u + g = -2*u. Is ((-28)\/6)\/(u\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335710 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/704 and -49\/2336?\nAnswer: 51392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110111101010010 (base 2) in base 15?\nAnswer: 7a39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125402, 250793, 376182, 501569, 626954, 752337?\n\"Answer: -c**2 + 125394*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -76*n + 4185. Let v be h(55). Which is the nearest to -7? (a) -2\/21 (b) -13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 34 - 246. Suppose i - l = 18. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.468 to two dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3899 - -321?\nAnswer: -3578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*t + 1910 - 10542 = -48*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let f(x) = -1. Let u(g) = -g + 4. Let i(c) = 14*f(c) - 2*u(c). What is d(i(j))?\nAnswer: -2*j + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2*(-1)\/(-4)). Suppose 0 = 3*o - 43 - 11. Calculate the remainder when ((-28)\/8)\/(w\/20) is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 60 - -309905?\nAnswer: 309965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**4 + 1 - 2*h**4 - 3*h**2 + 1 + h**4 as z*h**3 + i*h**4 + b*h + j*h**2 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1890*h + 774 = -1761*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 61*t**3 - 4*t**2 + 2*t + 5. Let s(o) = 129*o**3 - 7*o**2 + 3*o + 9. Calculate -3*s(m) + 5*v(m).\nAnswer: -82*m**3 + m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 9025*u**3\/2 - 275271715*u**2 + 11590382*u - 122004 = 0.\nAnswer: 2\/95, 61002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -7*k**2\/2 + 5*k + 18. Let n be b(-4). Let s be (-10)\/55 + 0 + (-41249994)\/n. Round s to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1464341 (base 7) to base 11\nAnswer: 127984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.314718 - -0.3168. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 13*k - 1. Let y be w(-13). Let u be ((-81)\/12)\/9 - y. Let 1\/2*t - 1\/4 - u*t**2 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003984817 rounded to six decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10\/3*f**2 + 0*f - 2\/3*f**4 + 4*f**3 = 0. What is f?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 + 1104\/(-30))*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/192428 and -43\/32950.\nAnswer: 4810700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/28794 and 27\/124774.\nAnswer: 374322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12987 = 4*j + u, 2*u + 5627 = 4*j - 7375. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 527*s**3 + 3*s**2 + 3*s + 1. Let g be t(-1). Let w = 909 + g. Calculate the common denominator of 11\/10 and w\/220 + 3*(-2)\/(-10).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/18)\/(((-70)\/(-63))\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -7199.\nAnswer: -1\/7199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 557*d**2 + 2*d + 5. Let y be f(-3). Suppose y = 7*t - 5*t + 2*m, 3*t = 5*m + 7494. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 1. Let v be x(5). Let d be (-235)\/45 + v\/18. Let u(h) = h + 5. Let m be u(d). Solve -3*s + 3*r + 12 = m, 0*r + 16 = -5*s - 4*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.097, 5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 5\/10*0. Solve -3*g - 24 = -7*g + 4*y, -18 = -s*g + y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ca452 (base 13) to base 3.\nAnswer: -1101102121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (87745\/(-1526))\/((-15)\/(-6))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v**2 + 16*v + 8. Give o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + -1 - (-8796853)\/390. Let q = f + -22545. What is the common denominator of -109\/54 and q?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591364790.\nAnswer: 2, 5, 59136479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21)*-6*6)\/(sqrt(35)\/sqrt(5)*2) + 5)*1)**2.\nAnswer: -180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(1\/12)\/l*l)*l*l*l*l**11)**(5\/7) assuming l is positive.\nAnswer: l**(895\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/11 - 457162*d**2\/11 + 2742886*d\/11 + 3200050\/11 = 0.\nAnswer: -1, 7, 228575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1830794156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 22830.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/5 + 16 + 3 + -2. Suppose -5*m - 36 = -3*a, 4*m = 2*m + 4*a - x. Which is greater: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 2*b - 2*b, 3*f - 28 = 4*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - 3*sqrt(275))**2*-2.\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 13711 in decreasing order.\nAnswer: 13711, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (3 - 0) - 4*-1. Suppose 0 = i*q - 2*q + 90. Let x = -7 - q. Solve 3*o + x*o - 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/7))**(-8\/3)*g**(8\/5)*g**(-21) assuming g is positive.\nAnswer: g**(-2677\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**3 + 8*y**3 - y**2 + 11*y - 318 + 319 to the form h*y + o*y**3 + i + s*y**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g + 6, 88 = -5*l - 4*g. Suppose -5*j - 175 = -5*m, -4*m = 2*j + 87 - 245. Let v = m + l. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 18*n**2 - 19*n + 6. Calculate f(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749737372.\nAnswer: 2, 113, 1658711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39378 is divided by 184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3353223 + -62?\nAnswer: 3353131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 0*h**2 - h - h**2. Let z(k) = k - 1. Let a be z(6). Let m(q) = 3*q**2 - a*q**2 + 0*q**2 + 0*q**2. Calculate m(j(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i - 32*i - 44*i + 2200 = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - a**2 - 1 + 0*a**2 + 2*a. Let x = 34 - 32. Let d be y(x). Solve -d*q + 12 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12)*(532\/(-200) - -3). Let y = j + -1\/25. Let w = -0.08 + 0.18. What is the second smallest value in y, w, -0.3, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.93755 * 1841\nAnswer: 3567.02955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-1) + -8*3\/6. Let a(p) = p**2 + 5*p - 33. Let i be a(q). What is the highest common factor of i and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 - 58. Suppose -5*b + o = -12. Let s = -48 + 70. What is the smallest common multiple of s and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.84 + 3.74. What is the closest to 1\/4 in i, 11, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 39*w. Let p(r) = r**2 - 2*r. Let l(u) = h(u) - 2*p(u). Let t(m) = -6*m**2. Calculate l(t(q)).\nAnswer: 72*q**4 - 258*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1141783 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/303 and -91\/290?\nAnswer: 87870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 1, n: 2, e: 1, t: 6, m: 6}. What is prob of sequence ttm?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -726, -1077?\nAnswer: -1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 - 1695696*t - 1695700 = 0.\nAnswer: -1, 423925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121891656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose d = -d + t*n + 91, 0 = 5*d + 4*n - 285. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4602*c**3 + 3537*c**3 + 2147*c**3 - 2269*c**3.\nAnswer: 8017*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2459238 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 124979728 divided by -16?\nAnswer: -7811233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -r, -4*q - 22 = 77*r - 75*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(6\/7)*o**(-3\/7))\/(o\/(o*o*o**3)*o*o**(-18)) assuming o is positive.\nAnswer: o**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3916 and 1646856?\nAnswer: 18115416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0018751 + 0.0019. Round r to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 8. Let z(n) = -n. Let w(x) = b(x) - 2*z(x). Let h be w(4). Solve -u = -2*u + h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -10. Let u be v*(16 + 3\/1). Solve 0 = 2*f - 4*g - 8, -5*f + u = -5*g + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/10*((-3640)\/(-585))\/(-14).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 27*y**2 - 1. Suppose 3 = -b + 4. List the prime factors of w(b).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (0 - -5 - 2). Let d(w) = 4*w**2 - 32*w - 34. Let j be d(x). Solve r + 4 = j*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6192, -24778, -55748, -99096, -154816, -222902?\n\"Answer: x**3 - 6198*x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -1 + (-25)\/5)\/(-1). Factor 0 + 9\/5*g**4 + 0*g**3 - 3\/5*g**5 - 12\/5*g**2 + z*g.\nAnswer: -3*g**2*(g - 2)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 5*s + 4. Let k = 5 - 9. Let h be o(k). Let n = -1402 + 1398. Which is the third biggest value? (a) h (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s - 20 + 27*s - 35 - 14*s.\nAnswer: -3*s - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05564 to 3 decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1195 = 2396 - 1191. Let l = 10.13 - 0.13. Which is the nearest to 2? (a) f (b) -2\/5 (c) l (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 156, 54, 2 in descending order.\nAnswer: 156, 54, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 3*d - 3*d)*(0*d - d + 4*d) + (4 - 6 + 1)*(-11*d**2 + 13*d**2 - 52*d**2).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78759 - 156257859\/1984. Let j = -116079\/9920 - v. What is the common denominator of -63\/20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/10 + (24\/27)\/(110\/(-88)). Find c, given that -2\/9*c**2 + 2\/3*c + s = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) 15 (b) -0.2144 (c) -3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38 - (3\/21 - (-82)\/14). Solve 220*r + u = 212*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9917383ug in grams?\nAnswer: 0.0000009917383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/(12\/330*11*-7). What is the nearest to -1 in 1, z, -3\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.4692, 4?\nAnswer: -0.4692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -12c?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 0*p + 2*p)*(36 - 2*p**2 - 36) + (2*p + 2*p - 5*p)*(-51213 + 28*p**2 + 51213) to k*p + g*p**2 + y*p**3 + v and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -70. Let p(t) = t**2 - 13*t - 41. Let d be p(k). Calculate the highest common factor of 3 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.205 + -1.305. Let h = -0.04 + -1.96. Let l = 0.5 + 0. Which is the nearest to d? (a) h (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (8 - 2) + -11 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 3, -4 in ascending order.\nAnswer: -5, -4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011570005 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344808 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 - 385 = 32*n - 3*w, -3*w = -2*n - 25 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 + 147. Is 47\/((-14)\/g - 40\/(-60)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(-1 + sqrt(5)))**2.\nAnswer: -2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - (23 + 10 - 5)) + -52 - (-1 + 7).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*d + 6407706 - 37280042, 0 = 3*m - 2*d + 30872332. Let x be 3890774\/1 + 4\/2. Let o = m + x. Round o to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 - 3*s + 6. Let c be o(6). Suppose 2*u - c = -u. What is the remainder when 39 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108367 and 29267?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**20*((((s*s**(-10\/9))\/s)\/s)\/s)\/s**(1\/3))**(36\/5) assuming s is positive.\nAnswer: s**(-364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 45*w + 22*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*j - 229710 = -170*j. List the prime factors of j.\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:02 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228519.\nAnswer: 2228519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 93019996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -77.5 (b) 4 (c) 0.3 (d) 0.1 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqww when four letters picked without replacement from {w: 2, q: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 0, -i - 7 = -3*p + 3. Let g(m) = -4*m - 4. Let a(v) = -9*v - 7. Let w(h) = -2*a(h) + 5*g(h). What is the tens digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4235 and 1342?\nAnswer: 516670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v**4\/4 + 171*v**3\/4 - 213*v**2\/4 - 351*v\/4 + 27\/2 = 0. What is v?\nAnswer: -1, 1\/7, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -133\/6?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 12*k + 135 + 66 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*f**2 + 33*f**2 + 2*f + 16*f**2 - 4 as s*f + b*f**2 + q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*u**4 + 8*u**2 - 17*u**4 - 4*u - 5*u + 0*u**2 wrt u?\nAnswer: 12*u**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2700)\/1470*(-24892)\/381?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**2 - 2*v. Let d(n) = 242*n**2 + 55*n. Suppose -2*q = -0*q - 220. Let z(w) = q*g(w) + 4*d(w). Let l(o) = -o. Give l(z(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 1\/(-9)*-129 + 2\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2) + 5 - 3*sqrt(162))**2.\nAnswer: -300*sqrt(2) + 1825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + q**2 - q - 7. Let i(b) be the first derivative of -b**4\/4 - b**3\/3 + 4*b + 4444. Give -5*i(k) - 2*x(k).\nAnswer: k**3 + 3*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - l**2 + 1. Let q be 3\/((-33)\/(-2)) - (-151890)\/(-1342). Let r = q + 114. Let c(h) = -h**2 + h + 1. What is r*i(x) - c(x)?\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54203, -108411, -162693, -217085, -271623, -326343, -381281?\nAnswer: -436473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/4*(-12)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 263, 1886, 6195, 14504, 28127, 48378, 76571?\n\"Answer: 219*c**3 + 29*c**2 + 3*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148274?\nAnswer: 2, 7, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000100 (base 2) in base 9?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381238 (base 9) to base 13.\nAnswer: -80c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -133, -226, -355, -532?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqaaaqqqqaqqaqaaaq. Give prob of sequence aaqa.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*k + 3 - 0, 0 = -5*x - 2*k - 36. Let s(y) be the second derivative of -y**3\/6 + 9*y**2\/2 + 13*y. Let z(v) = -v + 8. Give x*s(q) + 7*z(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13340133 (base 5) to base 9\nAnswer: 227731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*1\/(-4) - (-2 - 21). Suppose -3*v = -7*v + f. Solve -j = -v*a + 2*a, 3*a + 2*j = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 - 3*p + 19. Let m be 1116\/396 + 2\/11. What is the remainder when 57 is divided by n(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 907 = 2*i, -3*i + 2*p + 863 + 503 = 0. Suppose 109 = -m + i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2884378*p**3*s**4 + 4274*p**3*s**2 - 2*p**3*s - p**2 + 10*p*s**2 - 1 wrt s?\nAnswer: -69225072*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:25 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v - 21*v - n - 16, -5*v - 3*n = 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 11 + 801681*r**3 - 8.\nAnswer: 801681*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.629 - 18788139.\nAnswer: -18788136.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.108 + -9.5\nAnswer: -9.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3) - -1)*-1. Let p = 62.106 - 0.106. Let i = p - 66. Which is the third biggest value? (a) o (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 7*a + 16. Let r be m(10). What is the common denominator of (-223)\/(-32) + r + 7 and -43\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(3\/25))**(-26) assuming q is positive.\nAnswer: q**(-78\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 5:20 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 34. Let w be b(10). Which is smaller: -1\/103 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 23*m + 10. Let r be q(10). Suppose -4*g - r = -380. Calculate the highest common factor of 125 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250\/(-25) - (-38 - 44)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(30\/11)*i*i\/(i\/i**(1\/2))*i*i)\/(i**(-36)*(i\/(i\/(i*(i\/i**(4\/25))\/i*i)))\/i) assuming i is positive.\nAnswer: i**(22763\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -95*f - 482. Calculate y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Let h(c) = -11*c - 11*c**2 - 13 - 2*c + c**p - c**2. Let j(w) = -5*w**2 - 6*w - 6. Give 6*h(x) - 13*j(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9*21\/21. Suppose 0 = -3*x - 12, -m = m - 4*x - 28. Suppose -m = 4*g - 2*h, 4*g + 9 = h - 2. What is the nearest to 1 in 5, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 12*w**2 + 10*w - 30. List the prime factors of m(12).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 - 1758674*a**3 + 1404402*a**2?\nAnswer: -24*a - 10552044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/15312 and 79\/2?\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1372749 divided by -3.\nAnswer: 457583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -0. Let f(w) = 14*w**2 + 13*w + 17. Let b(r) = -5*r**2 - 4*r - 6. Let x(g) = y*f(g) + 11*b(g). Determine x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71136?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 94.92. Let z = 2.7 + o. Round z to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.27 - -0.73. Let w = 37.1 - o. Let d = -7.4 - -1.4. Which is the second smallest value? (a) w (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 2*x**2 + x**3 - 7 + 0*x**3 - 15*x**2 + 14*x. Is r(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1. Let z(h) = 10*h**2 - h. Let l be z(d). Let u = -7 + l. Solve 0 = 5*i + 4*j - 10, -j - j - u = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/112*108\/(-63)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4\/3, -2\/5751 in decreasing order.\nAnswer: -2\/5751, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2 + 13. Suppose 3*k + 26 = -j*g + 141, g - 72 = -2*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119\/75940 + -793734789\/265790. Let h = d + 2988. Find the common denominator of h and -13\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 - 7838*l**3 + 137779561*l**2\/3 + 1753705472*l + 50061377536\/3.\nAnswer: (l - 11776)**2*(l + 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771173 is divided by 8117.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1318659859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6365931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -616089 (base 11) in base 6?\nAnswer: -33110502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 16*s + 60. Let o(p) = -p**2 + p - 2. Let m be o(-4). Let f = s - m. Calculate the greatest common factor of f and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0615, -1, 0.6, 5.\nAnswer: -1, -0.0615, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (10 - 6) + 14 - (10 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3162*h. Let c(g) = g. Give c(w(y)).\nAnswer: 3162*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405022904.\nAnswer: 2, 11, 13, 354041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/w*(w*w\/w**(-10))\/w)\/(w**(-1))**46 assuming w is positive.\nAnswer: w**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*-2*20\/(-195).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, u: 3}. What is prob of sequence hh?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3046243?\nAnswer: 547, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Suppose 0 = r*i - i, f = -2*i + 490010. Suppose f = -2*u + 7*u + 2*w, -w = 3*u - 294005. What is u rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a (base 12) to base 10.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -15. Sort 1, 5, t in increasing order.\nAnswer: 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*j - 39 + 10, -2*k - 4*j - 22 = 0. Let t(r) = r**2 - r - 1. Let s(n) = n**2 - n. Let d(l) = 4*s(l) - 3*t(l). What is the tens digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29612, 29483, 29344, 29195?\nAnswer: 29036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 92.1. Let l = 3.8 - 0.8. Which is the smallest value? (a) 2\/3 (b) 0.5 (c) h (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 2. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 42*v + 92. Let f(b) = b**2. Determine f(q(n)).\nAnswer: 1764*n**2 + 7728*n + 8464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5472151.\nAnswer: -5\/5472151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 76 = 14*z. Let s be (26 + 0)*(58\/z - 8). What is the greatest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -2\/277 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4. Let y(o) = -3*o - 108. Let n = 1244 + -1240. Determine n*y(h) + 108*c(h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 - -6512106?\nAnswer: 6512001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**2 - 1. Let r be x(-1). Let l(c) = -5*c + 12*c + 16 + 12 - 40. What is the units digit of l(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 12*q**2 - 31*q - 6. Let v be p(13). Let j be (v\/(-9))\/8*3. Solve -26 + j = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -978, -961, -954, -963, -994, -1053, -1146?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 less than or equal to -1136\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 27*c - 54. Suppose -78 = -3*v - 6. Let n be y(v). Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**3 - 3*q**2 + 3*q. Let t(l) = 6*l**3 + 4*l**2 - 4*l. Calculate -4*o(w) - 3*t(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -64, 0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287792 and 2460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + 5316011?\nAnswer: 5315763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/8 - 51589*s\/8 + 3513515\/2 = 0. What is s?\nAnswer: -51860, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) 0.34 (c) -0.6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11 = -5*p - 8, 3*o - p - 11 = 0. Let i = o - 0. Suppose -2*b = -c - 34, -25 = -i*b - 2*c - 3*c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 - c**2 - c**2)*(-123 + 64 + 69*c**2 + 61) + (2*c**3 - 2*c**3 + 2*c**3)*(0 + c + 0) in the form r*c + z + l*c**2 + m*c**4 + v*c**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2580, -4, -3 in descending order.\nAnswer: -3, -4, -2580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3877599*v**3 + 1519634*v.\nAnswer: -23265594*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p - 1. Let o be w(2). Suppose 5*n + 1 = o. Suppose -k - 3*x = n*x - 37, x = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-10) - 1) + (128248803\/95 - -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -18. 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: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011110010110110 (base 2) in base 8?\nAnswer: 336266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, v: 2, a: 9}. What is prob of picking 1 s, 1 q, and 1 v?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-11))\/y**(1\/12))**(-7\/5))**(-3) assuming y is positive.\nAnswer: y**(-847\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1806.057 millennia to years.\nAnswer: 1806057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**5 + 2*t**5 + 3 + (-t**3 - 2*t**3 + t**3)*(4*t**2 - 2*t**2 + 0*t**2).\nAnswer: -5*t**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*(-2 + 16). Let m(h) = -h - 2. Let b be m(n). Suppose 20 = 5*d - b. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 195. Suppose -47 = q - c. Is q a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195 a factor of 58336515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-21))\/(46220\/616 + -75).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - a = -750, -f + 4*a + 227 + 166 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8805919 and 4098?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 4*b**3 + 2*b**3 - 3*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybgyeyyyeyeenyybyg. What is prob of picking 2 b and 1 y?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5415417 is divided by 430?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 0)*(-3)\/3. Solve 3 - 11 = -m*f - 3*j, 5*j - 4 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2, -b + 3 = -3*s + s. Suppose -163 = -4*d - a, -b*a = d - 10 - 45. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*u - 39*u + 138*u - 2)*(0 - u + 0) + 2*u - 2*u - u**2 in the form r + a*u + i*u**2 and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 - 5*v + 2. Suppose 14 + 1 = -3*z. Calculate s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6989?\nAnswer: 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = 3*j, -2*u - 12 = -5*j + 2*u. Suppose 4 = -w, 3*o - w = -j*o + 7. Which is smaller: 2\/653 or o?\nAnswer: 2\/653","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-680))\/(1\/(-6) + (-49)\/(-168)). What is k in 6\/17*k + z*k**2 + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let p(d) = -120*d - 151*d + 0*d + 63*d - 148*d. What is p(y(v))?\nAnswer: 712*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.287 - 27.28712099. Round g to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6570537?\nAnswer: 3, 41, 53419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -382277 or -382276?\nAnswer: -382276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/63*(-10)\/60)\/((-15)\/(-54)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, d: 6, b: 3}. What is prob of picking 3 j?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r. Let n(v) be the second derivative of 2*v**4\/3 + 25*v**2\/2 + 4648*v. Give m(n(y)).\nAnswer: 24*y**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*a + 54*a - 1779. Suppose 617 - a = 8*t. Solve 5*j + t = -3*h, -5*j = 2*h - 6*h + 31 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1011 + 5?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34389802 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 2*a + 0*a - 2524*a + 6581*a + 1770*a + (-1 + 1 - 2)*(-3*a + 0*a + 2*a) + 0*a - 3*a + 5*a.\nAnswer: 5828*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78755?\nAnswer: 5, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 106*v - 204*v - 17 + 100*v. Determine k(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 12:54 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -318 + 318. Let i = 2 - 0. What is the closest to -1 in i, 3\/5, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 - (641 - 670)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2*r + 80. Let s be (r\/(-3))\/((-4)\/(-276)). What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73782, 295109, 663974, 1180377, 1844318?\nAnswer: 2655797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2807*a - 844942. Give k(-301).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(5)*-3 - (sqrt(720)\/sqrt(4))**2).\nAnswer: -352 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151\/((-105700)\/(-280))*-135?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 158314*m + 158316.\nAnswer: -2*(m - 1)*(m + 79158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 14 + (-9 - -1) + -34 + 15 + -5\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -722*l**2 - l - 907?\nAnswer: -1444*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14*5823\/(-19410)*(-5)\/3*-1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 45. Suppose 4*p - 162 = -4*g - 66, p = -3*g + 42. Is p at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2\/3, -12, 1\/5, 10.\nAnswer: -12, -2\/9, 1\/5, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1\/j)**29*(j\/(j*j**0\/j)*j)**6)**(-33) assuming j is positive.\nAnswer: j**(-1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*r - 98, 3*y + r - 98976 = 0. Does 46 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 38 + 222 = -5*x, -x = 5*l + 79. Let s be x\/(-45)*(-10)\/(-4). Solve s*g - 2*g = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -406610856, -406610860, -406610862, -406610862, -406610860, -406610856, -406610850?\n\"Answer: m**2 - 7*m - 406610850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, x: 2}. What is prob of picking 2 v and 1 x?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 7, 37, 81, -1, 9 in descending order.\nAnswer: 81, 37, 9, 7, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 2*o + 4. Let z(r) = 93*r + 274. Let l be z(-3). What is w(l)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**3 - 13*v**2 - 106*v + 223. Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 410 (base 7) to base 12\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345083.14 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -16159\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1242 and -10288.44.\nAnswer: -11530.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20002 (base 3) to base 13\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -76710*u + 116906035. What is s(1524)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 384852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 141 - 29 = 0. Suppose t*c - 16*c = 2076. List the prime factors of c.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34558*d**4 + 49071*d?\nAnswer: -414696*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1752 + -6919\/4. Calculate the common denominator of z and 53\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 0.65.\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88.26 + 88. What is b rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + f + 4. Let g(z) = -3 + 2*z**2 - z - 3*z**2 + 0*z**2. Let j(y) = -y - 3. Let l be j(-8). Let s = l - 9. Determine s*h(d) - 6*g(d).\nAnswer: 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 6. Let p be (-1 - 3)*2\/(-2). Let m be a(p). Suppose 2*u + 4 = 0, 3*c = -3*u + m + 4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198 - -200. Solve 2*w + 4 = 5*w - 2*s, s = -4*w - z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 3*h**2 - 2*h + 3. Let w be s(-3). What is the highest common factor of w and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -12, 0.4, -37, -1\/2 in increasing order.\nAnswer: -37, -12, -1\/2, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14369 = 112*k - 912*k - 769 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -612724 divided by -3\nAnswer: 612724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264821 is divided by 162?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -25, 5*i = -z + 3 + 2. Solve -5*y - 8 = -3*y - i*t, -2*y = 2*t - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -25*y**2 + 3*y - 2. Determine k(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*((-1*sqrt(425) + 5 - sqrt(425)) + sqrt(425) - (sqrt(425) - (sqrt(425) + 1))*3) + -2)**2.\nAnswer: -12927 + 1980*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43229629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 221.145.\nAnswer: 221.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 28, 67, 130, 223, 352, 523?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28160, -56028, -83896, -111764?\nAnswer: -139632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = -71*f - 227 - 473 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = -3*p + 94, 0 = 23*k - 24*k + 5*p - 34 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -22*f + 63 + 220. What is the remainder when 57 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:20 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-0.01.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63462649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**15)**(-38\/5)\/((v*v*v\/(v*v**29)*v*v)\/(v*(v*v**(2\/3)*v)\/v)) assuming v is positive.\nAnswer: v**(2011\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811502531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-75)\/(-900)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740410441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 5*z + 3*z - 4. Let h be b(3). Solve -4*w = -3*w - h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 105*p - 430. Let x be k(48). Solve -2*y = 5*w, 5*w + 3 = -3*y - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118849918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 248.2386 + 5.5392712\nAnswer: 253.7778712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 34*k + 3114. Is w(11) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 7 = 2*o + 9, -f = 2*o - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3325 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 158?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-1))\/((-6)\/4). Suppose -26 = r - 3*r + 4*w, 0 = -2*w - 10. Suppose r*d + 5*g = -14, -d = 3*d - g + 11. Sort 0, d, b.\nAnswer: b, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/2, 0.07, -0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 577, 602, 159, -974, -3019?\nAnswer: -6198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.946619 and 0.0419.\nAnswer: -0.904719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2052 is divided by 680.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21620743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = 5*u. What is the tens digit of (-30)\/((-1)\/(u\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/((-125)\/(-10) + -5 + -7). Solve 16*o = w*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 2, j: 7, w: 2, o: 1, r: 2}. Give prob of sequence jw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10, 2\/27, -4, -2\/3, -2, -38?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50288342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g**2 - 56*g**3 - 65*g**3 + 4*g - 67*g**3 + 183*g**3 + 1 in the form v*g**3 + x*g + w*g**2 + j and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1757.\nAnswer: 1\/1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(112\/(-128)*(-4)\/14). Let p(i) = -i**3 - 9*i**2 - 11*i + 8. Let l be p(d). Let f = l - 22. What is the smallest common multiple of f and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883537214?\nAnswer: 2, 3, 13, 53, 673, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -6*m + 16. Let y(d) = 3563*d**2 + 3*d - 1. Let r(w) = 3563*w**2 + 4*w - 1. Let x(c) = m*r(c) + 5*y(c). Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3\/30788960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13. Let r(w) = w**3 - 4*w**2 + 2*w - 1. Let p be r(3). What is the closest to c in -5\/3, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*x**5 - 5*x**4 - 636*x**3 + 20698680*x - 2 wrt x.\nAnswer: -740*x**3 - 60*x**2 - 3816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((320\/(-390))\/(-16))\/(2\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or -368957?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -428*b**3 + 130*b.\nAnswer: -2568*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*m = -25, -a + 25 = 5*m - 0*m. Suppose a*q = -q + 25. Let t be 60\/q*(-5)\/(-2). Calculate the highest common factor of 48 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least -19270\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 671*g**3 + 4*g**2 + 241*g - 627*g**3 - 238*g in the form w*g**2 + f + n*g**3 + y*g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/(-1284)*-1*2\/9*-3.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 593 - 577. Let g(h) = -4*h + 122. What is the lowest common multiple of g(28) and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 32512?\nAnswer: 32512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(10) - sqrt(1210)*1))\/(-2*sqrt(14)\/sqrt(175)).\nAnswer: 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827586861 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from fwuuulfwfw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5243155 is divided by 125.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 5. Solve -6*a = -s*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*r + 12, -3*v - v = 5*r - 13. Suppose -3*m + 44 = -6*m + 4*f, 5*f - 20 = 2*m. Is ((-3 - m) + 2)*r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410174 is divided by 242?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 + 4. Let h be 1 + (-82)\/70 + (-98)\/245. Put f, -3, h in ascending order.\nAnswer: -3, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -41. Factor 3\/5*p + 3\/5*p**t - 6\/5.\nAnswer: 3*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11028335551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 2*z - 38, 2*u - 2*u - 185*z = 4*u - 138*z - 128 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*o**3 + 200*o**3 - 104*o**3 - 3*o**3.\nAnswer: 415*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122337072 rounded to four decimal places?\nAnswer: 0.1223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388546 and 467146?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 1 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1725)\/(-230)*12852\/765\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43222630 (base 7) to base 6\nAnswer: 211003144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t + 5*y, -2*t - 4*y - 8 = y. Let h(l) = -238*l**2 + l**3 + 2*l + 244*l**2 + 4*l. Calculate the smallest common multiple of 7 and h(t).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 596, -2 in ascending order.\nAnswer: -2, 1, 7, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26067 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 15*m**2 - 999*m + 13560. Determine f(13).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000595063 rounded to six dps?\nAnswer: -0.000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 19*c**2 - c + 27. Let q be s(19). Solve -9*w = -q*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 17577 + 434. Is 79 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r - 42. Let d be y(3). Suppose 4*q - 8*q + 3*a = -145, 0 = -d*q + 3*a + 108. Suppose -4*g + s = -5664, 1384 = g + s - q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -16, -11*m = -7*m - 3*v - 72. Let i(s) = -m*s + 6*s + 5*s + 2*s. Let l(a) = 4 + 6*a - 4. What is l(i(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 + 112*g**2 + 740*g - 174. Determine n(-16).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7325002 and -1.129086.\nAnswer: 0.6034142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpl when three letters picked without replacement from jplglglpslslppggl.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times 0.5\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606*h - 2*t - 52 = 1599*h, -h - 3*t - 9 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + 12 + (-46055)\/(-25) + 1\/(-5)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 12*q**2 + 15*q + 53. Let l be i(-10). Let x = l - -993. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6736024 is divided by 47105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(405)*4*-1)**2.\nAnswer: 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5624767 and 239309?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*f = -490*f - 48 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -172088, 0, -2, 96 in descending order.\nAnswer: 96, 3, 0, -2, -172088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15801615, -15801614, -15801613, -15801612?\n\"Answer: d - 15801616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1149357, 2298715, 3448073?\nAnswer: 4597431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(8)\/sqrt(4) + 1 - sqrt(2)) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 1)\/(2 + -1). Let p be 2\/(-4) + 4\/8. Let f = p - y. What is the least common multiple of f and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1674634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.18 - 0.18. Let l = -14.7 + f. Which is the nearest to 1? (a) -1\/5 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1163, -1129, -1095?\n\"Answer: 34*a - 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - 5*i + 0*i - 8*i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 28\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (-1326)\/(-60))*(-18)\/(-9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51934 is divided by 51773?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 2*l**2 - 4*l - 2. Let o be j(-2). Let v be (26*-1)\/(o\/3). Let s = 35 + v. What is the greatest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2385, -1091, 203, 1497?\n\"Answer: 1294*c - 3679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t. Let o = 2435 - 1693. Suppose o*d + 18 = 739*d. Let l(c) = 5*c - 3*c - c. What is d*g(r) + 51*l(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 73. Suppose -2*v - n = 4*f - 3*f, -5*v = f + 2. What is the second biggest value in 1\/5, v, -62?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 3 - -5) + (-12)\/3. What is the least common multiple of 15\/2*(1 - z) and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222 (base 4) in base 14?\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**8\/840 - q**7\/210 + q**5\/30 + q**4\/12 - q**3\/3 + 7*q**2. Let b(c) be the first derivative of v(c). Factor b(u).\nAnswer: -2*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**2)\/n*(n**6*n)\/n)**11*((n*(((n\/(n\/(n*n**(-1\/3))*n))\/n)\/n)\/n)**(-31))**(-50) assuming n is positive.\nAnswer: n**(-10553\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1953 + 1975.026. Let t = 0.026 - x. Let s = t - -22.000048. Round s to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*o - 30 - 18, 0 = -3*o + l + 26. Suppose -616*f = -632*f - 400. What is the units digit of 3 - o\/f*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 1. Let q(h) = 345 - 85 - 88 - 85 + 6*h - 93. Determine -10*g(a) - 2*q(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -4 (b) 1\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 157 - 8*i - 48 - 32 - 33.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -69*f**2 + 65*f**2 + 23 + f - 54 + 29. Let y(k) = 7*k**2 + 2*k - 2*k**2 + 2*k**2 + 4 - 4*k. Determine 5*g(u) + 3*y(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ca3e7 + -21?\nAnswer: -3ca418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*i - 59*i - 12. Let g be 3\/6*-2 + 3\/i. Let x = -2 + 1. Put 0, x, g in decreasing order.\nAnswer: 0, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3895 and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6316 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -374*i**2*r**2 + i**2*r + i**2 + 38*i*r**2 + 10*i - r wrt i?\nAnswer: -748*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-4)\/5))\/(((-70350)\/200)\/67)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 149.6105 tonnes?\nAnswer: 149610500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - m + 123 = 13*b, 165 = 3*b - 5*m. Calculate the highest common divisor of b and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 3:49 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 3. Let n be a(0). Let r be (n - -12)*1 - 3. Suppose 0 = 4*g - 348 + 108. What is the greatest common divisor of r and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -14 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*f**3 - 205*f**3 + 28*f**3.\nAnswer: -611*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-3) + 10 - -11?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -54, 37, 174, 363?\n\"Answer: n**3 + 14*n**2 + 2*n - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 44428 = 4*z. List the prime factors of z.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 82*g + g**3 + 165*g - 83*g.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12829390 and 134470?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*p**3 - 112*b**2*p**3 + 5*p**3 - 7 wrt b?\nAnswer: -3*b**2*p**3 - 224*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(1235*p**2 - 580*p**2 + 263*p**2) - 6*p**2 + 4*p**2 + 4*p**2 as o*p**2 + r + t*p and give o.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -18) + (0 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336 by 323319.\nAnswer: 112\/107773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.20002 * -0.05.\nAnswer: -0.010001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108058097 is divided by 5794?\nAnswer: 5791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005831011?\nAnswer: 73, 13778507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*n - 34 + 3, -3*n + 11 = -15*f - 0*f + 10*f for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37312950.\nAnswer: 2, 3, 5, 248753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1158783396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334\/235 + -48\/47. What is the nearest to 2\/3 in -1.4, g, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 4, -2371, -3\/2?\nAnswer: -2371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1\/((-4095)\/(-369) + -11).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g + 2*g)*(-5 + 1 - 2 + (-1 + 3 - 3)*(-2 - 2 + 3) + 1 - 1 + 2)*(5 + 2 + 1).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*h - 19772 - 5633 = -5280 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -81 + 1. Let o = b + 103. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080692 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5857 - 5847, 0 = 3*d - 5*l + 11 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63, 193, 409, 705, 1075?\n\"Answer: -q**3 + 49*q**2 - 10*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 116. Suppose -429 = 4*t - l*t. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*m + 113*m + 4016 = 42*m + 9559 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by (18\/5)\/(4\/10) + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -1\/5, -35, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*w + b + 49287 - 49276 = 4*b, 3*w + 4*b + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 196*f + 638. What are the prime factors of k(8)?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 154?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12032 (base 4) to base 11.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 3*l**2 - 4*l + 1. Let a be j(4). Let i = -7 + 5. Let o be 4\/(-34) + -2 - i. Is a at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*d + 5*d - 32, -4*r - 3*d = -100. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**3 - 7. Let t(d) = d**4 - 13*d**3 + 15. Let h be (-15)\/1 + -2 + 4. Let k(x) = h*y(x) - 6*t(x). Differentiate k(w) wrt w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 24*c + 4. Let o be j(-10). Suppose -2*x - 618 = -3*z + 2*x, -x - 618 = -3*z. Let h = z + o. List the prime factors of h.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/5)\/(8\/160*2). Suppose -4*s - c*l = -7*l + 40, 0 = 4*s - 3*l + 32. Let k = s - -187. Does 37 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 4, -0.372, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 394*q**3 + 3*q - 1. Is 18 a factor of n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:56 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 - -70. Let y be c - 4*(2 + -3). What is i in 12*i**y - 3*i**4 + 6*i - 8*i**3 + 9*i**2 - 4*i**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.70525 + 1.7. What is v rounded to four dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - (6 - 11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(119)\/(sqrt(7)*3)*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -5)\/((-2)\/(-1)). Let z = 4.33 + -0.33. Let p = z + -1. Which is the third smallest value? (a) p (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:06 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011101011 - -11?\nAnswer: -1001011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(110) - (sqrt(110) + 4*1*sqrt(110)))\/(sqrt(90)*4 - sqrt(10)))*6.\nAnswer: -12 - 24*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 0, -152 = -v + 9*y - 7*y. Let r = v + -51. What are the prime factors of r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 10328764*g\/3 - 72301250\/3.\nAnswer: -2*(g + 7)*(g + 5164375)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k + 489. Calculate the remainder when 81 is divided by j(-38).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106116.402 to the nearest 100.\nAnswer: 106100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249325 divided by 5.\nAnswer: -49865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = -27*v + 82 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*t + 9, 0 = -1005*t + 1001*t - 5*c + 12. Solve t*j = -s + 3, -13*j + 2 = -11*j + 4*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 4*x**2 + 406*x - 1622. Give g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763687?\nAnswer: 3, 41, 22469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 104\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1750773963 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 105770013.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251?\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -26*m + 4. Let n(h) = 51*h - 7. Calculate -7*a(w) - 4*n(w).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 284.5075 centuries?\nAnswer: 28.45075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, and 1 n when three letters picked without replacement from gtgtogoogggggngngogo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*v + 5*o - 20, -24 = -5*v + 4*o. Let c = -81 - -241\/3. What is the third biggest value in 2, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -13 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven halves of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1 - 4. Suppose 0 = r*q - 12. Solve -15 = 3*t + 3*y, 9*t - q*t - 5*y - 15 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -35*s**2 + 16*s + 1. Let p(m) = -33*m**2 + 14*m + 1. Give 3*i(w) - 4*p(w).\nAnswer: 27*w**2 - 8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70874*h**2 - 138906.\nAnswer: 141748*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -10 - 5. What is h in -14\/5*h**5 + 8\/5*h - 32\/5*h**2 + 0 + 6\/5*h**w + 32\/5*h**4 = 0?\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**(1\/2))))**(13\/5)\/((((((t*t\/(t\/(t*(t*(t**(-1\/7)*t)\/t)\/t))*t)\/t)\/t)\/t)\/t)\/((t*t*t\/(t**(4\/3)\/t*t))\/t)) assuming t is positive.\nAnswer: t**(653\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76010903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.3073 months to years.\nAnswer: 2.942275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32330 - -102?\nAnswer: 33032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21992?\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 588, 1183, 1778, 2373?\n\"Answer: 595*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*z + 3 - 32, -3*o + 20 = -5*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7210*g - 4497 = -7499*g + 127 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*58\/4*-5. Is 16 a factor of z\/9 + (-1)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*l = 300*l + 2*b - 7, 0 = 4*l - 5*b + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -842\/13 bigger than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 7*z + z)*(-2*z**2 + 3*z**2 - 77*z + 80*z).\nAnswer: 7*z**3 + 21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*62120\/12424.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 12*f**2 - 3. Let q be w(-12). Let m(p) = -3*p**2 + 3*p + 2. Let t(l) = -109 + 2*l**2 + 8*l - 10*l + 108. Calculate q*m(x) - 4*t(x).\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a factor of 287638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1053916.48 to the nearest 10000.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from {v: 4, h: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 52696000 to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.043 - -1.343. Let t = 12.7 - 12. What is the biggest value in -0.4, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*a - 239*a = -334*a - 19055 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-90))\/(50*480\/5000).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 2\/5, 0, -2\/35, -19, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*j - 12, 4*p - 4*j + 9*j = -21. Let i be (-3)\/((-45)\/(-35)) - (-4)\/(-6). Put -4, p, i, 11 in decreasing order.\nAnswer: 11, p, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 12*v**2 + 10*v - 7. Let n be u(-11). Suppose -f = 4*b - 3*f - 22, 0 = -n*b + 5*f + 31. What are the prime factors of (5 + -4)*1*b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 1 - 1 + (-1 + 5 - 2)*(62*v + 110 - 110) + v + 3*v - 3*v.\nAnswer: 124*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 8*g**2 + 6*g + 4. Let h be b(7). Let d(c) = -4*c - 25. Let q be d(-6). Put q, 0, h in decreasing order.\nAnswer: 0, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s - 1. Let q(r) = r**3 + 3*r + 4. Let k(m) = -m**2 + 6*m + 1. Let n be k(6). Let g(i) = n*q(i) + 3*u(i). List the prime factors of g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -0.1777, 6?\nAnswer: -0.1777","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 12. Determine d(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 6f49ca?\nAnswer: 6f49cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 251743.3 litres?\nAnswer: 251743300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 16860?\nAnswer: 16860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 13680*v**3 - 192585*v**2 - 233600*v + 412500 = 0. Calculate v.\nAnswer: -2750, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.0003 - -42. Round b to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2005\/(-401))\/(-10*82\/12).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*g - 392640 = 0, -4*g + 6*g = -j - 78540. Is (j\/(-20))\/(3\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123.8 + 121. Let z = n + 2.7999805. Round z to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -7?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23604104 by 4.\nAnswer: -5901026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.09037 times 2.58\nAnswer: 0.2331546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - u**2 - 7*u - 10. Let v(s) = -6*s**3 + 29*s - 9 + 2 - 2*s**2 - 13 - 42*s + 1. What is -11*b(g) + 6*v(g)?\nAnswer: -3*g**3 - g**2 - g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4) - 10\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjnsjvvjjs. Give prob of sequence sxn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*m = 896980, -2*n + n - 4*m + 224270 = 0. Round n to the nearest 1000.\nAnswer: 224000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**11\/66528 + h**10\/5040 - h**9\/1008 + h**8\/504 - 2*h**5 - 39*h**2. Let k(g) be the third derivative of c(g). Factor k(l).\nAnswer: -5*l**2*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 1:58 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 153850 and -18.997458.\nAnswer: 153831.002542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (33 - 13) - -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -40 (b) 3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-20)\/n**(-8))**(-11))**(-8\/11) assuming n is positive.\nAnswer: n**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1037 + 1017 = -10*n. Suppose 4*z - h = 155, -n*z + 110 = z - 2*h. Let b = 18 + -10. Calculate the least common multiple of b and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114609411743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -0.042, -4, 0.06.\nAnswer: -4, -0.042, 0.06, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 68*u**2 - 1100*u + 1104. Let n(b) = -14*b**2 + 220*b - 221. Let d(v) = 5*h(v) + 24*n(v). Factor d(t).\nAnswer: 4*(t - 54)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13926 + 33937. List the prime factors of n.\nAnswer: 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 3, b: 1}. What is prob of sequence ccb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -562\nAnswer: 56.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.23263 minutes in days?\nAnswer: 0.1265504375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*v**2 - 32*v**2 - 56*v**2 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-6)\/(-90))*9. Factor -q*h - 10 + 2\/5*h**2.\nAnswer: 2*(h - 25)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7308 - 2?\nAnswer: -7310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 11:37 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 5 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2463 - 1275. What is the highest common factor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = -n, -4*r + n = 36. Let z be 4*(-3)\/(24\/r). Let o be 6\/4*4\/(-15). Which is the closest to o? (a) -0.1 (b) z (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.08 (c) -13 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34496119 divided by 6\nAnswer: -34496119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2040 - 1290. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + (-1 + 1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 38 + 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*w + 5*p, 5*w + 2*p + 91 = 96 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 11*v**2 + 19*v + 17. Determine x(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -10. Let q = f - 12. Let v = q + 22. Which is smaller: -2\/5 or v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0394468 or 0?\nAnswer: 0.0394468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f + 326 = 32*f + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 8*r - 13*r + 7, -y = 4*r - 3. Let l(d) = 6*d**3 + 5*d**2 - 6*d - 6. Let v(s) = -s**2 + s + 1. Give y*l(k) - 5*v(k).\nAnswer: -6*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 2*f - 1. Let h be t(-1). Let z = h + 141. What are the prime factors of z?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117342 (base 16) to base 4\nAnswer: 10113031002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 6\/11 (c) -2 (d) 955\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94642695 by 5.\nAnswer: 18928539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16282257.\nAnswer: 3, 37, 47, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021072.\nAnswer: 2, 13, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203769273 by -541.\nAnswer: 376653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)\/((-1)\/4). Let v = 6 - a. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 1 + 21. Suppose 35 = a + v*a. Find q, given that 10*q**2 + 12*q**2 + 12*q**3 - a*q**2 + 3*q = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1327, 2577, 3823, 5065, 6303?\nAnswer: 7537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 7*o. Let f be i(7). Suppose d + 2*t - 2 = f, -3*d - t - 12 = -4*t. Let g be (-70)\/(-200) + d\/(-5). Is 2\/7 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29108 - -29108.000019309. Round p to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457128978?\nAnswer: 2, 3, 76188163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00459 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/24080 and -117\/13760.\nAnswer: 96320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2257173621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 69*b + 2. Let m(p) = 0*p - 2*p + 7*p - 4*p. Give t(m(q)).\nAnswer: 69*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -31*i**2\/2 - 3603. Let x(u) = 28*u**2. Determine q(x(m)).\nAnswer: -868*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115678 = -9*g - 424322. Round g to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 3632517?\nAnswer: -3632522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1077 - 309 = -m. Let y = 106 - 97. Suppose y*o = -2*o + m. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265\/4 - 123\/2. Is j bigger than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 2, m: 4, p: 3, c: 1}. Give prob of picking 1 c, 1 q, and 2 y.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7423)\/(-571)*(1 - 3). Suppose 2*k = -5*y + 25, 2*k - 2*y + 10 = 6*k. Put m, k, -2 in descending order.\nAnswer: k, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 15 - (-1 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -140*w**2 + 70288*w - 4016 = 0. Calculate w.\nAnswer: 2\/35, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-1)\/3*558\/(-372)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 93. Which is the second biggest value? (a) m (b) -0.2 (c) 0.4 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26666 + -0.408. Round s to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 227 (b) -331\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxre when four letters picked without replacement from xrref.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197400 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917538 is divided by 425?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 152*j**6 - 4*j**5 - 4*j**4 - 87*j**2. Let k(r) = -r**6 + r**5 + r**4. Let l(x) = -4*k(x) - u(x). What is the third derivative of l(p) wrt p?\nAnswer: -17760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*(r\/r**(-6))\/r*r)\/(r**2*r*r**(-1\/2)))**(-3) assuming r is positive.\nAnswer: r**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2 (c) 5 (d) -2 (e) 10.0833 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12341364.9 and -0.2.\nAnswer: 12341364.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -3. Let n = a + 10. Solve n = 2*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**2 + 510161264*t - 16266532205379856 = 0?\nAnswer: 63770158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/9)*q)\/q*q**(-4) assuming q is positive.\nAnswer: q**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 16) to base 11\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 4:54 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-80) + 3\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19536 and 13068?\nAnswer: 1934064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 4.6. Suppose -w = 12*w - 39. Let g be (5 - (w - 6))*(-2)\/(-8). Which is the smallest value? (a) g (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 3*x + 8*x - 19.\nAnswer: 5*x - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - ((1 + sqrt(325))**2 + 2))*3 + -4.\nAnswer: -988 - 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 - -11 - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 2*g + 8*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -304\/7*n**3 - 109744\/7*n - 521284\/7 - 4\/7*n**4 - 8664\/7*n**2 = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4850031572?\nAnswer: 2, 29, 1637, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + 12032960?\nAnswer: 12032931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10134 (base 5) to base 15.\nAnswer: 2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126464?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5)*(8 - 14 + 153*t - 157*t) - 2*t + 2*t - 2*t - 2*t - 3*t + 3*t + 3 - 3 - t + (-2 - t + 2)*(3 - 1 + 0) + 3*t + 3*t - 5*t - 6*t + 4*t + t.\nAnswer: -27*t - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y**3 + 3*y**4 + (y - y + y**3)*(2 - 2 - 13*y).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 less than -0.0559?\nAnswer: 0.0841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -6\/3499457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259.57383 - 94.\nAnswer: -353.57383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8616 and 149703.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/9)))\/(m\/(m**(-2\/23)*m))*(((m\/((m**(4\/7)\/m)\/m))\/m*m)\/m)\/((m**4*m)\/m)*(m**(-1\/2)*m**0)\/((m*m**(-3\/2)*m)\/m**(-2)) assuming m is positive.\nAnswer: m**(-7877\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5982673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4182355 by 5.\nAnswer: 836471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 786564 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:40 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 1187 = -1363. Solve 14 = -y*c + 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - -0.36. Sort 13, 2, x in ascending order.\nAnswer: x, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620260291?\nAnswer: 13, 31, 309269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.4 + -28.3859. What is r rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41728 is divided by 2781?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -45 + (2 - (-3)\/(-1)). Suppose -4*s - 5*o - 118 = 0, 0 = -4*s + o - 5*o - 116. Let x = s - m. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/30)\/(-2 + 248\/125). Suppose 0 = -12*k + 17*k - x. Solve 0 = -c - 5*z - k, 5*z + 35 = -3*c + z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 20 = 5*s. Let t(r) be the first derivative of -31 - 5*r - 3\/2*r**2. What is t(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 177*r + 2484.\nAnswer: 3*(r - 36)*(r - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -15. Suppose 4*o = 8, -4*i + 10 = -0*i + o. Let g(j) = 3*j. Calculate the remainder when n is divided by g(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3391610.\nAnswer: 3391610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 8*j - 1. Let x be o(-5). Suppose d + d + 26 = -3*c, 2*c + x = -d. Let l be (-3)\/12 - d\/8. Solve l = u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -731065, -731080, -731095, -731110?\nAnswer: -731125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1460\/(-140)*((-1)\/(-2) - 29\/((-696)\/156))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -238*g**2 - 2126*g + 138. Give k(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 1, y: 4, e: 4, j: 3, g: 1}. Give prob of picking 1 j and 1 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7976711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*((-208)\/(-3))\/((-840)\/1260)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4 - 2490*d**3 + 2505*d**2 + 4990*d = 0 for d.\nAnswer: -499, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:58 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - (297 + -325 + 1 + 9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -12. Let b be (r\/5)\/(2\/(-5)). Suppose b*y = -2*y. Solve y = d + d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5530210 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -311\/102 - -19\/6. Let l(t) = -t. Let s(x) = 3*x - 2. Let o(p) = 2*l(p) + s(p). Let j be o(1). Is j at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - y**2 - 2. Suppose -j + 1 = -a, -2*j + 19 = -4*j - 5*a. Give i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6206206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 0.5, 28963403, 1\/10, 1\/3.\nAnswer: -6\/5, 1\/10, 1\/3, 0.5, 28963403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 37, 72, 125, 202, 309, 452?\n\"Answer: z**3 + 16*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1 (c) 194 (d) -0.84 (e) -4 (f) 25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408284?\nAnswer: 2, 3, 39119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2855, 3741, 4627, 5513, 6399?\nAnswer: 7285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 4*n - 3. Let o be z(-2). Suppose 4*r - 2*p = 14, -4*r - o = p + 2*p. Let i = 10 - r. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917590006 to the power of 1\/2, to the nearest integer?\nAnswer: 30292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000447112109 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z + 3. Let t be q(0). Suppose 5 = -2*g + 4*g - u, -5*g = t*u + 15. Suppose 0 = -0*a - 3*a - 3. Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3 = 15*q - 20*q, 10 = 5*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 2*sqrt(187))*-1*-1)\/(sqrt(22)\/(sqrt(16)\/sqrt(2))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from {b: 12, q: 3}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((864\/30)\/(-16))\/(42\/(-140)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - n - 14604 = 0, 0 = k + 255*n - 250*n - 7346. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 2*h - 5*h + 28, 4*b + 9*h - 64 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -4.04, -0.04, -4, 4 in decreasing order.\nAnswer: 4, -0.04, -3\/2, -4, -4.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6399 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5900 divided by 1475.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**3 - 8405*b**2\/2 - 459400*b - 381375\/2 = 0 for b.\nAnswer: -565, -135, -5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101*s**3 - 12*s**2 + s - 38969.\nAnswer: -303*s**2 - 24*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 64430.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2129368*g**5 + 2*g**3 + 10780229*g**2 wrt g.\nAnswer: 127762080*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (19 - (-19 - -43 - 113)) - 12.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2618.5, 35, 2\/7, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - 2) + -5 + 36 + 19 + -8.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:56 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6003*i + 6080*i = 1001 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1358, -1\/2, -1.7, 2\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/5*o**3 + 3\/5*o**4 + 0 + 3\/5*o - 3\/5*o**2 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -12430930?\nAnswer: 61\/12430930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -277283 divided by 41?\nAnswer: -6763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30355799217 - -30359357652.0127. Let h = -3558722 + x. Let m = -287 - h. Round m to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 37?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*l + 16, 0 = 2*l - 3*w - 14 - 23. Calculate the common denominator of -2 - -4 - 59\/l and (-37383)\/10472 - (-2)\/7 - -3.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74065 is divided by 2056.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 - 22*q**2 in the form n*q + a*q**2 + g and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0427 + -2.0427. Is 48\/11 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 13*u = -24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 16.55. Let o = q + -142.05. What is o rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 - 702424*u\/7 + 30837467236\/7.\nAnswer: 4*(u - 87803)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -602\/25661?\nAnswer: -602\/25661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 2. Let a be f(5). Let j be (-4 - -3) + 0 + a. Find the third derivative of -j*v**5 - 6*v**3 + 3*v**2 + 6*v**3 wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(2736))*3*-6.\nAnswer: -90 + 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -2\/11 (c) -1\/2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 2*t. Let l = -9 - -20. Suppose 1 = 3*x + c - l, 5*x + 3*c = 20. Let a(s) = 3*s**2 + 5*s. Determine x*a(v) + 10*k(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 2, -42, -124, -256, -450, -718?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.4 (c) 148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 8b?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42138 divided by 19?\nAnswer: 42138\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 76*b**2 - 99*b + 11. Let x(c) = -c**3 + 51*c**2 + 62*c - 7. Calculate 5*h(l) + 8*x(l).\nAnswer: -3*l**3 + 28*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)\/(0 - -1). Suppose 7 + k = -m. Let f be (-1)\/((28\/40)\/m). Solve -2*d - f = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 5*q - 3*q)*(-2000*q + 2000*q - 62*q**2) + (2*q + q - 2*q)*(0*q**2 + 0*q**2 + q**2).\nAnswer: -433*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 5*l**4 - l**4)*(l + l - l) - l**5 + 5*l**2 + 7*l**5 + 902 - 896.\nAnswer: 7*l**5 + 5*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.5 - -40.2. Let n = 0 + 0.3. What is the nearest to n in o, 3\/8, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1134 - 1134.0869. Let q = 0.083 + k. What is q rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5421 is divided by 292?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -2.02. Let u = -4.1 - -4. What is the nearest to u in -1, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3*825\/100. Solve 4*j = -3*r + a, r - 3*j + 13 = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 235.7. Let u = o - -13.3. Let x = 164.767 - u. What is x rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3\/21 - 204*d**2\/7 + 41616*d\/7 + 37. Factor z(y).\nAnswer: (y - 204)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.9487 and -6.\nAnswer: -3.0513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.06 - -0.06. Let x(z) be the first derivative of -z**3\/3 + 7*z**2\/2 - 7*z + 3. Let w be x(5). Which is the second smallest value? (a) w (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422686.9036 rounded to the nearest one hundred?\nAnswer: 422700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d**3)*(5 - 17 - 15)*(-2 + 3 - 3).\nAnswer: -54*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -105.4 times -3\nAnswer: 316.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.13073*860\nAnswer: 112.4278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*-5213.248.\nAnswer: 1720.37184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22102 + 1414415?\nAnswer: 1352313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-200)*15\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4)*39*(-84)\/44226\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 68 - 260 = 0. Let w = 84 + s. Let j be 1\/((-7)\/4 + w). Solve -j*r - 10 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295661 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -854704670 by -5.\nAnswer: 170940934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, 9\/2, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1000110001011111010?\nAnswer: -1000110001011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22041 and 632?\nAnswer: 176328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 88\/13171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272 + 111. Let j = k + 161.3. Which is the third biggest value? (a) -0.5 (b) j (c) 6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 21*v**2 - 398*v + 130. Determine n(-28).\nAnswer: 5786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {z: 1, p: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19)\/(114\/12) - 12112\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12770115 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4360 (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 67. Suppose 4*c - 25 = -3*d, -c = 3*c + 4*d - l. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/825 + (-1 - (-34)\/22))*-21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2)\/(1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22416 - 17852. Calculate the remainder when c is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.454 + 0.046. Let b = 4 - -1. Let h be (3\/4)\/(b\/(-4)). What is the nearest to 0 in 1\/3, v, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 2*l + 1. Let n be p(-1). Let b be 16\/(-8) - 20*(-1)\/11. What is the nearest to 0.1 in n, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71.747666555 - -0.7.\nAnswer: 72.447666555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 312 (c) 1 (d) -29.5 (e) 4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {b: 1, w: 4, c: 2, s: 1, q: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*o + 430*o + 9743 = -5577 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 171. Let p = -33 + j. Let c = p - 34. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 15}. What is prob of sequence mma?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -181679.104 and -1431298?\nAnswer: 1249618.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3052.62586 rounded to zero decimal places?\nAnswer: -3053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, e: 6, q: 7}. What is prob of sequence eqj?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 459 = 333. Let s = 104 + -103. Calculate the smallest common multiple of s and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/11 - 2*f**3 + 54*f**2\/11 - 50*f\/11 + 16\/11 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 656 = 5*l. Suppose 0 = -80*w + l*w. Suppose 21*y - 22*y + 2 = w. Solve 0 = 2*n + y*v, 5*n - 2 = v - 4*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/108 and 31\/37152?\nAnswer: 37152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8*((-2)\/(-6) + 3\/(-4)))\/(34914\/(-2277))\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6665, 7005, 7403, 7889, 8493, 9245, 10175?\n\"Answer: 5*o**3 - o**2 + 308*o + 6353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.46\nAnswer: -3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709813673?\nAnswer: 3, 11551, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1242 + 4753. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1031 divide 1085811053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let n = -1421746\/5 - -284350. Which is the nearest to n? (a) j (b) -2\/5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:23 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -23. Solve -15 = -4*x - c, -2*c = 3*x - c - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 495 or 23305\/47?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115390 divided by 2\nAnswer: 57695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 4*n**2 - 13*n + 153. Let k(z) = -z**3 - 2*z**2 - 6*z + 77. Calculate -6*j(c) + 13*k(c).\nAnswer: -c**3 - 2*c**2 + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8980830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -19. Let w = b - 8. Suppose 5*j - 3*n = 18, w = -2*j + 4*n + n - 8. Let c(a) = a. Let u(g) = 5*g + 2. Give j*c(y) - u(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or 70?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -7. Suppose r + a - 3 = 0, z = 2*r + 4*a - 0*a. What is c in -2*c**2 + 13*c**3 - 14*c**r + 4*c**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**8\/112 + 161*h**6\/30 - 3541*h**4\/24 + 2*h**2 + 75*h - 1. Find the second derivative of u(w) wrt w.\nAnswer: -60*w**3 + 3864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) -4 (c) -2\/85 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/1)\/4 + -68. Let d = 103 + b. Suppose 5*o = -2*n + 37, o = 3*n - d - 10. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2223433*y**4 + 6427*y**2 - 4*y.\nAnswer: 53362392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 4*f + 6, -2*f + 2*i - 2 = 0. Suppose 8*z = f*z + 24. Let b(y) = 0*y**2 + z*y + 2*y**2 - 3*y**2 - 1. What is b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1523154 and 1235.\nAnswer: 99005010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b - 8. Suppose -2*c + 19 = 3. What is the greatest common divisor of c and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-20))\/(-1 - 9\/(-3))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 257448. Let i(m) = 8*m. What is i(f(w))?\nAnswer: -8*w - 2059584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*b + 19 + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1610 + -604. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 27.9. Let q = 2.9 + a. Put q, -1\/8, 4 in decreasing order.\nAnswer: q, 4, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 - 12 = -2*z, 5*z - 31 = -3*t. Suppose 0 = 3*m - q - 5, 0 = -5*m - 0*m + z*q + 25. Sort m, -3, 3, 8 in decreasing order.\nAnswer: 8, 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2341, 3739, 5139, 6541, 7945, 9351, 10759?\n\"Answer: c**2 + 1395*c + 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 497940 in descending order.\nAnswer: 497940, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141*u = 1139*u - 22. Sort 1, -5, u in ascending order.\nAnswer: u, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zuu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p + 1. Give t(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3 - c. What is the units digit of u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*35*172250\/1855. What is the greatest common factor of 50 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 23*k - 5*k - 5*k - 11*k. Let r(w) be the first derivative of -w**5\/120 + w**3\/3 - 2. Let o(q) be the third derivative of r(q). Give h(o(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4718, -5309, -5874, -6413, -6926?\n\"Answer: 13*t**2 - 630*t - 4101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 8*f + 4. Let x be r(3). Let m(k) = 2 - k**2 + 3 - 6. Let z be (-3 - 2) + (-24)\/(-3). Let g(p) = 4*p**2 - p + 2. What is x*g(y) + z*m(y)?\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*-1*2. Let j be s - 296\/(-6) - 16\/(-24). Calculate the greatest common divisor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 87 - 105 + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -170.\nAnswer: -12\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 29 + 9. Suppose -f*m = 20 - 112. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -50*n - 33. Calculate the remainder when 198 is divided by h(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Suppose 0 = -85*i + 84*i - 2. Let a(y) = 4*y**2 + y - 4. Let h(l) = i*o(l) - a(l). Give h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 3, 3.3, 33\/7, -1\/5, -1, -3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 22 + 5*h)*(0*h - h + 3*h) + (-3*h - 2*h + 4*h)*(0 + 2*h + 0) + 0*h - 2*h**2 + 0*h + 6*h**2 - 18*h + 18*h to l + v*h + f*h**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/(sqrt(32)\/sqrt(4))*4.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -4, -29, -16 in decreasing order.\nAnswer: 78, -4, -16, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 457371916 divided by 4?\nAnswer: 114342979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.732+2126947\nAnswer: 2126949.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 86 = -22. What is the lowest common multiple of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 3*b + 5. Let c(f) = 7*f**2 - 11*f + 19. Calculate -6*c(h) + 22*l(h).\nAnswer: 2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/33 - (-4)\/(-22). Let c = -10 + l. Does 2 divide (8\/3)\/((-6)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-30)\/s)\/(s*s\/(s**(-3\/13)*s)))\/(s**(4\/7)\/s**1) assuming s is positive.\nAnswer: s**(-2894\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqgqqwsssgwqgsssgg. What is prob of sequence swsw?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -3432722?\nAnswer: 3432730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19 + 0.1098046982451?\nAnswer: 1.2998046982451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4b54b6?\nAnswer: 4b54b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-120) + 15\/(-9) and 2 - (100\/16)\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfvvkfvnv. Give prob of picking 1 v and 1 f.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 3, y: 5}. Give prob of sequence nn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/((-5220)\/(-288)))\/(32\/124)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*q - 1003 - 1501 = 115*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 921, 2424, 5067, 9162, 15021?\nAnswer: 22956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2606 >= -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 114 = 9*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -39*a + 17*a. Suppose 0 = a*f - 6*f + 45. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, r: 2, d: 3}. What is prob of sequence urd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2. Let x(y) = -y + 8. Let k(r) = 5*b(r) + x(r). Calculate k(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 2. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1088))*-5 + ((-5*(0 + sqrt(1088)))**2 + sqrt(1088) - sqrt(1088)) + sqrt(1088) + (sqrt(136) + 6*sqrt(136)*-1)\/((sqrt(32) - sqrt(8))*-5) + 1.\nAnswer: -31*sqrt(17) + 27201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*d - 4, g + g = d - 8. Let t be 4 + (1 - 3) + (-99)\/48. Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (8 - 19) - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -5*v + 28. Suppose -6*c + 3*c = -2*a - 50, 2*a = -v*c + 40. Put -3, c, -4, -1 in ascending order.\nAnswer: -4, -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/21)\/((-4)\/28). Let p = b - -6. Solve 0 = 5*c - 3 + p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/141312 and 45\/8?\nAnswer: 141312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1206*m. Let u be o(1). Let w be 0 + 0 + u\/6. What is w rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -294*r - 5841. What is the hundreds digit of t(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 456097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10545654 by 2.\nAnswer: 5272827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51478237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -654369169 and -5678.2?\nAnswer: 654363490.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**4 - 895*a**3 - 43815*a**2 - 331925*a - 289000 = 0.\nAnswer: -85, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 238085961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 + 16*f + 185. Give s(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**9\/1512 - k**5\/24 + 5*k**3 + 25. Let w(p) be the third derivative of c(p). What is the second derivative of w(z) wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - (-134)\/3. Solve 0 = -5*w + 5*z - m, 3*w + z + 7 = -0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/19, -195, -1.5, -5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. Suppose u - d*u = -24. Let i = u + -2. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49.9 - -50. What is the closest to t in 0, 8, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3326 and 3330 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0684 <= 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 244 - 2194\/9. Which is the nearest to -21? (a) t (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50814\/5 or 10162?\nAnswer: 10162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - 108. Let u be 2\/10 + 57*o\/60. What is the smallest common multiple of 15 and 6\/(180\/258) + u\/10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 58 - 26. Let z(l) = 5*l - 71. Let d be z(t). What is the first derivative of 22*y - d - 13*y - 10*y wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m - 7. Let y(r) = -7*r - 6. Let t(w) = 6*s(w) - 7*y(w). Let l(i) = -53*i. Determine t(l(v)).\nAnswer: -53*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/54*24*3 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 8:51 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - s - 7 + 26 = 0, 3*g = -3*s + 36. Let f(c) = -5*c - 49. Let w(u) = -2*u - 22. Let y(j) = g*w(j) - 3*f(j). Calculate y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00141999 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(1\/6))\/j)**(-45))**(-4))**(-12\/11) assuming j is positive.\nAnswer: j**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -34*g - 22*g + 91*g - 3*g. Let x(a) = -8*a**2 + 1. Give x(h(q)).\nAnswer: -8192*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-21) - (-74)\/14. Suppose b*n + 8 = -7. What is the smallest common multiple of (-1)\/2*(-29 + n) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 14, 86, 210, 392, 638?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1875 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1004 + 2190. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88642588 rounded to the nearest 100000?\nAnswer: -88600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 925, -5, 1, -23, 8, 5 in ascending order.\nAnswer: -23, -5, -1, 1, 5, 8, 925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 + 305. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360714.\nAnswer: 2, 3, 79, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 3\/38, -3\/2, -2, -0.4, 1\/3, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23866.\nAnswer: 2, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234552?\nAnswer: 2, 3, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 90 = 150. Suppose -5*q = 10, 0 = -u - 4*q + 1 + 1. Calculate the greatest common divisor of p and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*q + 6*q - 37, 0 = -n - 5*q + 29. Suppose -7*g - n = -9*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 17 = 275400*l - 275404*l, 2*l - g + 11 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 379\/7327 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4*(-1*sqrt(99))\/sqrt(9) + 5)*-6)**2.\nAnswer: 2016*sqrt(11) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*m - 16 = 0, 6*d + m = 8*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.07 times -35038\nAnswer: -37490.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -17*b**2 + 15*b - 386. Let t(d) = -8*d**2 + 7*d - 193. Let o(s) = 13*t(s) - 6*z(s). Let k(a) be the first derivative of o(a). Determine k(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 16688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 73*g + 21*g = -23*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*k**2*z**2 - 5*b*k**2*z - b*k*m*z**3 + k**2*m*z**2 - 7*k**2*z**3 + k*z**2 + 5*m*z**3 wrt z?\nAnswer: -6*b*k*m - 42*k**2 + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8057716*v**4 + 10516963*v - 2 wrt v.\nAnswer: -96692592*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 16) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from aooozqqjooqqoao.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 135 - 5 = 0. Suppose 168 = 14*m - u*m. Calculate the smallest common multiple of 36 and m.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4 + 8. Let q be (-4)\/((-40)\/(-225))*20\/(-6). What is the highest common divisor of j and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = -2*g. Suppose g*z - 3*z = 4. Suppose 3*t + z*i + i - 32 = 0, 0 = -t + 4*i - 12. What is the least common multiple of 2 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6593\/17112 + 1\/552. Let h = 22\/217 - w. What is the smallest value in -0.4, 2, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6))\/((-4)\/6). Solve g = 4*f + 3, 2*f + k = g + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - ((-4)\/(-8) + -3). Let d = 25 + -8. Let t = d - 16.5. Put t, 1, i in increasing order.\nAnswer: i, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times -0.066?\nAnswer: 3.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t**2 + 25 - 25)*(-4 - 16 - 12) to the form s*t**2 + v + w*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(98)*1 - (sqrt(98) - (sqrt(98) + -2*(sqrt(98) + 0))**2)) + 2 + (sqrt(198)\/(-2*sqrt(9)))\/((sqrt(99) - (sqrt(99)*1 - sqrt(99)))\/sqrt(9)).\nAnswer: -sqrt(2)\/2 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312162, -312142, -312110, -312066, -312010, -311942?\nAnswer: -311862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475.54764 rounded to the nearest ten?\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -58665 < -58698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 2*f + 60152 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 561?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -74*y**3 - 8*y**2 - 6*y + 3. Let h be o(-5). Let s be (-10)\/(20\/(-18))*1. Is h\/s - (-56)\/(-252) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 16*c + 0*c)*(6*c - 7*c - 6*c) + 5*c**2 - 12*c**2 + 4*c**2 + (0 + 0 + c)*(-3*c - c + 2*c) - c**2 + 2*c**2 + c**2 to b + m*c + p*c**2 and give p.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445548125?\nAnswer: 5, 11, 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1a?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0418 - -598.0418. Let y = -606.23 + q. What is y rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/32 and 31\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 - 124*t + 858. Calculate p(8).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -0.03. Suppose -i = 3*v - 2*v + 155, 5*v + 4*i = -779. Let f = 1433\/9 + v. Which is the closest to k? (a) -4\/7 (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-24138)\/21)\/((-44)\/(-308)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**(1\/2)*s)\/s)\/s)\/s*s)**(-5))**(2\/107)\/((s**(-1\/4))**(27\/5)\/(s**(-3\/8)*s*s**(-3\/4))) assuming s is positive.\nAnswer: s**(5443\/4280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-5)\/c)\/c)\/c)\/c*c\/c**(2\/3))**(-2\/3)\/((c*c*c**(-1\/10)*c)\/(c**(5\/2)\/c))**(-47) assuming c is positive.\nAnswer: c**(3221\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 8*j + 10. Let x(p) = p**2 + 7*p + 2. Suppose 3*i + 35 = -2*s, 3*i - i + 38 = -5*s. Calculate the smallest common multiple of x(i) and a(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 154*h**2 - 133*h - 1064. Let k(a) = -7*a**2 + 6*a + 48. Let f(c) = -6*j(c) - 133*k(c). Let n(d) = 590*d. Give f(n(r)).\nAnswer: 2436700*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 10:43 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -3030d0a?\nAnswer: 3030d08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 10*r - 10. Let i be a(-1). Solve 2 = i*k + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97370*n**3 + 101047*n**3 - 198396*n**3.\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8840 - -8910. Calculate the least common multiple of g and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.14, -2, -1, 38.52?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a. Let f(z) = -2*z**2 - 3*z - 2. Let c(j) = f(j) + 3*w(j). Let d(q) be the first derivative of c(q). Let y(b) = 2*b. Determine y(d(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644598.\nAnswer: 2, 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.368 + 6.068. Let p = -16.44 + 16. Let i = -0.04 - p. Which is the second smallest value? (a) i (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/15*630\/840.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18 and 29\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 3*y - 24. Let a be i(11). Suppose -14194 = 6*n + a. Let s = n - -4186. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 6. Let o be n(-7). Let j(q) = -q**2 + 17*q - 4. Let f be j(7). Suppose -10*y = y - f. What is the highest common divisor of y and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0895172 millennia in decades?\nAnswer: 8.95172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/48*-8)\/((-1)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 37. Let g(h) = -h**3 - 7*h**2 - h - 2. Let t be g(-7). Factor 15*m**3 - 34*m**u + 5*m**2 - 15*m**2 + 14*m**t + 2*m - 7*m + 20*m**4.\nAnswer: -5*m*(m - 1)**2*(2*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(0 - 4\/8). Let y(j) = 9*j - 20*j - 1 + 12*j + 44*j**3. What is the tens digit of y(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(3*m**4 - 4*m**4 + 3*m**4) + 2*m**4 - 5*m**4 + 2*m**4 + m**4 + m**4 - m**4 - 3*m**4 + 2*m**4 + 0*m**4 + (m**2 - 7 + 7)*(-3 + 3 + 2*m**2).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204765 and 561.\nAnswer: 204765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578*z - 2911*z + 8743 = 3351*z - 625 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -99, -152, -223, -318, -443?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:26 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((8 - 13) + 3)\/((-1)\/480)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3663328537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 9*r**2 - 9*r + 13. Let f be j(10). Suppose -3*c + f = 8. Let l(o) = o**2 - 2*o - 1. What is the remainder when l(4) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51708230 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1347 and 19989031?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/51 + -112\/255. Let o be (-7)\/15 - (-1)\/(-5). Let h = 7 + -4. Which is the closest to n? (a) 0.3 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137486137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/450*(-190)\/(-76). Let n = 3\/20 - t. Factor 0*r + n*r**5 + 0 + 2\/3*r**4 + 2\/9*r**2 + 2\/3*r**3.\nAnswer: 2*r**2*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1\/3 (c) -0.2 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1987592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n**2 + 27*n**2 + 37*n**2 + (2*n - 3*n + 3*n)*(-2 + 2 + n) as q*n + u*n**2 + f and give u.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 + -336. Let c = 157 + a. Solve c + 0 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/13*v**2 + 0*v - 20\/13*v**3 + 0 - 2\/13*v**4.\nAnswer: -2*v**2*(v - 1)*(v + 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 325007803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + 5*c**2)*(-4 + 5 + 0)*((-c + c + c)*(-3 - 2*c + 3) - 3*c**2 + 4*c**2 - 2*c**2).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:11 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 987*t**5\/10 - 3*t**4\/2 + 47*t**2\/2 + 1965*t. What is the third derivative of y(x) wrt x?\nAnswer: 11844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678 minus 89365?\nAnswer: -85687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - d - 6. Let f be w(0). Let x = f + 10. Suppose 0 = x*n + 16, -2*n = -j - 0*j + 14. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 78 - 19*x - 17.\nAnswer: -19*x + 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*t - 5016 = 54*t. Calculate the remainder when t is divided by 142.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -419, -870, -1611, -2636, -3939, -5514, -7355?\n\"Answer: c**3 - 151*c**2 - 5*c - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29128810 is divided by 3195.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -1110?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -37. Suppose -5*z = -331 + 101. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16463807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 10?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 - 79 + 79. Let p(a) = a**2. What is p(i(c))?\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -163 in descending order.\nAnswer: 6, 1, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3570748392 to the nearest integer?\nAnswer: 59756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 384, 571, 742, 891?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.57*2122.\nAnswer: -30917.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 177*m - 2*m**2 - 177*m. Let w(i) = -16*i**2. Give w(h(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -530?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -25 - (-16 - (-33 - -2))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337812 is divided by 67503.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(1\/7)*j)*j*j**(7\/6)\/j*j*j)**9)**(-5\/7))**(9\/8) assuming j is positive.\nAnswer: j**(-17145\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 6 - 6. What are the prime factors of o*(1 - 64\/(-12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -14, -1269, -11\/90, -1, 3?\nAnswer: -11\/90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12321120 a multiple of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 511446673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, -1061983, 7?\nAnswer: -1061983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49\/4 + -25\/2. Sort v, 2, -0.8 in increasing order.\nAnswer: -0.8, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -51520.\nAnswer: 1\/2576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 864813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*3\/(-3) - -2. Suppose 5*r - 4*c + 11 = 0, -3*c + d*c = r + 7. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338127.\nAnswer: 3, 41, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3767003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 90\/8 - -6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-20))\/(4\/(-8)). What is the closest to -1\/3 in -3, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/80 - 3*p**5\/20 + 3*p**4\/4 - 2*p**3 + 6*p**2. Factor g(l).\nAnswer: 3*(l - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1754512*c**2 + 2332*c - 2332. Let m(n) = 3761*n**2 - 5*n + 5. Determine 4664*m(o) + 10*t(o).\nAnswer: -3816*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.4, 1\/6, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(480\/(-45) - -7)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6734*k**3 + 6*k**2 - 2*k + 3706. Let m(a) = 13467*a**3 - 15*a**2 + 5*a - 7412. Let n(y) = -2*m(y) - 5*t(y). Differentiate n(i) wrt i.\nAnswer: 20208*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - a + 4)*(1 - 3 + 1) - 2*a + 2 - 2 - 57 + 57 + 10*a + (3*a + a - 3*a)*(-1 - 1 + 1) + 4 + a - 4)*(-a + 0*a + 3*a).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**2 - 33*m**2 + 3*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c - 381 + 12*c - 300 - 61.\nAnswer: -3*c - 742","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*v - 18 = 0, -4*v - 28 - 8 = 2*k. Let f be (-2 + (-14)\/(-5))\/(1\/k). List the prime factors of (-6)\/(-8) - 986\/f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 91. Let k(t) = 8 - 12*t**g - t**3 - 33 - 14*t - 3. Calculate the remainder when k(-11) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*g**2*w**2 + 4799*g**2*w + 2*g**2 + 2*g + 11111 wrt w?\nAnswer: -56*g**2*w + 4799*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 1. Let k be u(3). Let x be (-1)\/k - 565\/(-20). Let z(c) = 27*c - 1 + 4 - x*c. What is z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + 13\/5. Let n(m) = -5*m**3 + 3*m**3 + 4*m + 1 - 5*m**2 + d*m**3 + 0*m**3. Let v be n(4). Sort -1, v, 5 in descending order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -1\/3 (b) -0.9 (c) -0.4 (d) -3583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, r: 7}. Give prob of sequence llr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (600\/1500)\/(6\/(-300)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*a + 36 = 4*a, -2*n + 4*a - 8 = 0. Solve -z - 7 - 4 = -n*c, 4*c = 5*z + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*p - 7 = 0, -2*j + 69 = 3*j - 2*j + 11*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c14 - -3?\nAnswer: 1c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 - 3017*m + 3016 = 0 for m.\nAnswer: 1, 3016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22837644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*d**3 - 45*d**3 + 101*d**3 + 2*d**3 - d + d + (-2*d**2 + 3*d**2 + 0*d**2)*(d + 3*d - 2*d) + 3*d**3 - 2*d**3 - 2*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3230*b**2*t**3 - 61*b**2 - 45*b*t**3 - 2645*b*t**2 - t wrt b?\nAnswer: 6460*t**3 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1863, -3728, -5593, -7458?\n\"Answer: -1865*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1214591*c**2 - 72 + 142 - 70.\nAnswer: 1214591*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-126360))\/((-3)\/(-44306)). Let m = d - 2\/3159. Calculate the common denominator of m and -20\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4\/7*v**3 - 194392\/7 - 464\/7*v**2 + 2444*v = 0.\nAnswer: 22, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.91383 - 0.08617. Sort q, -1\/3, -1\/4, -22 in ascending order.\nAnswer: q, -22, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 26 = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64431302 and 3406?\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.497 rounded to the nearest integer?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016660048 to 5 dps.\nAnswer: -0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -565301*s**4 + 388284*s.\nAnswer: -6783612*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -799*g**3*h**3 + 1253*g**3*h - 2*g*h**2 wrt h?\nAnswer: -4794*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.031.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/g*g*(g*g*g*g\/(g\/(g**(1\/3)\/g))*g)\/g)**(-10))**2 assuming g is positive.\nAnswer: g**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17175525?\nAnswer: 3, 5, 17, 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/7 - 2*i**3 - 18*i**2\/7 + 2*i + 16\/7 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 15*z + 18. Let r be p(-14). Factor 0*g + 0 + 1\/3*g**r + 1\/3*g**2 + 2\/3*g**3.\nAnswer: g**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*c = 6*c + 2828, 0 = c - 5. Let m = y + -962. List the prime factors of m.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from tpcbccpypppp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1969890.\nAnswer: 2, 3, 5, 13, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -166731776, -166731790, -166731820, -166731872, -166731952, -166732066?\n\"Answer: -t**3 - 2*t**2 - t - 166731772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 445.22681 days?\nAnswer: 63.60383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 - g**2 + g**2 + g**4 - g**4 - 3*g**4 + (-3*g**4 + 4*g**4 + g**4)*(-3 + 5 - 5) as a*g**4 + v*g**3 + y + u*g + o*g**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -537 - 26?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61754415 (base 8) to base 3.\nAnswer: 220122102000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 11*y**6\/120 + 4*y**4\/3 + 126*y**3 - 4*y**2 - 47*y. What is the derivative of o(d) wrt d?\nAnswer: 33*d**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 4:38 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2816 and 38380320.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52528 and 19600?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 - o**4 + 5*o**4)*(o + 0 + 0) - 11*o**5 + 2*o**3 + 9*o**5 + 0*o**3.\nAnswer: -o**5 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/3 - 819*y**2 - 1637*y - 2455\/3 = 0. Calculate y.\nAnswer: -2455, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2 + w + 12. Let f be t(0). Let h be (-1)\/((-1)\/2*8\/(-92)). Let d = h - -119. What is the highest common factor of f and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.24 (b) -4 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205 + 87. Let g = -81 - u. Calculate the remainder when g is divided by (-2)\/(-6) + (-112)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 57 - 42)*(8*o**2 + 2 - 2).\nAnswer: -112*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17*g - 1. Suppose -4*d - 16 = -2*a - 0*d, 4*a - 5*d - 20 = 0. Let s be a\/(-1 + -3 + 1). Suppose 10*x - 13*x + 3 = s. What is h(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -30, 7, 80, 201, 382, 635?\n\"Answer: 2*x**3 - x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.98 + 1.3. Let y = s - 19.32. Let q = y + 15. What is the second biggest value in -0.06, q, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157181?\nAnswer: 157181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**6\/48 + 63*t**5\/40 + 130*t**4\/3 + 483*t**3 + 539*t**2 + 16*t + 59. Determine k, given that i(k) = 0.\nAnswer: -22, -14, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2522 and 1135109326.\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -22 in increasing order.\nAnswer: -22, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + 8. Let k(n) = j*n + 75*n - 144*n + n**2. Let r(c) = 134 - 5*c**2 - c**2 - 134. Give k(r(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108 or -107?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72\/17 - -3104\/765. Let d = j + -2\/495. What is the closest to 0 in -2\/3, d, -4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(5 - 360\/63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -663*g**4*p + 2*g**2 + 24*g*p + 13*p wrt g.\nAnswer: -7956*g**2*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 224, 220, 216?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73865 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160802106*j**6 - 48*j**2 + 375*j - 432 wrt j.\nAnswer: 19296252720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((9 - 5) + -1) - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4002134 + -1?\nAnswer: 4002133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2562.9 + -16863\nAnswer: -19425.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5\/19, 0.2, -1\/9, 13 in descending order.\nAnswer: 13, 5\/19, 0.2, -1\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(48))\/sqrt(12))\/sqrt(2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 14*k**2. Let m be b(-7). Let j be (12\/(-4) - -2)*-122. Let g = -2066\/17 + j. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32754\/211 greater than 4.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 21*j + 1585. Give s(-76).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 87049745 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935633?\nAnswer: 3, 7, 92173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(16\/(-96))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 31844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.022, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45949 - 98897 - w**2 - 7*w**2 - 586.\nAnswer: -8*w**2 - 145432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**4*h + 7301*g**3*h - 55771*g*h + h wrt g?\nAnswer: 48*g**2*h + 43806*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686017 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-5)\/4 + 1). Suppose 11*o - g = 13*o. Let s be (-35)\/21 - o\/(-18)*3. Let m(l) = -2*l**3 + 4*l + 3. Give m(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/2 - 23221*u**3\/2 + 9592157*u**2\/2 - 9568935*u\/2 = 0?\nAnswer: -23627, 0, 1, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -21481?\nAnswer: 2147a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9083 is divided by 101.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 3*q + q)*(0 - 1 + 2) + q + 0*q - 2*q + 8 - 8 - q + q - 2*q - 2*q - 4*q + 2*q + 4*q to the form f*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 334 - 221 = 0. Let s = j + 104. Let k(d) = -2*d - 8. Give k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 5*r**3 + 90*r**3 - 2*r**3 + 37*r**3.\nAnswer: 130*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/28370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/12 - 2*j**3\/3 + 3*j**2 + 4*j. Let v be w(-5). Calculate the remainder when (-74*(-2 + v))\/2 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 - 27 - 46*o - 94 + 47*o in the form f*o + i and give i.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x + 3 = 72*x. What is the nearest to x in 4, -18, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10*o + 485 = 0. Let f(d) = d**3 + d**2 + d + 1. Let y be f(-1). Suppose 5*m - k - o = y, 3*k + 8 = -k. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 3*f**2 + 5*f - 1. Let y be n(4). Solve 2*k - 1 = -y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -17, 1418, 6, 2 in descending order.\nAnswer: 1418, 6, 2, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d = 56*d - 21161. List the prime factors of d.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + -1 - -10) + -7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19992487\/12 or 1666041?\nAnswer: 1666041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3241 + 3244. Let f(z) be the third derivative of 1\/300*z**5 + 1\/300*z**6 - 1\/1050*z**7 + 0 + 0*z + 0*z**p - 18*z**2 - 1\/60*z**4. What is t in f(t) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -32\/3 (c) 2 (d) -9 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281910 is divided by 23739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 18176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.8. Let m = -3687.9 - -3688. Which is the closest to m? (a) i (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886631656 to the power of 1\/2, to the nearest integer?\nAnswer: 29776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256104?\nAnswer: 2, 157013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-6))*(704\/78)\/(-44).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {j: 1, c: 9, o: 4, m: 4, s: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -264, 1\/2, -4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 less than 348139.58?\nAnswer: 348082.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:24 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (4 + -16)) + -13 + (20 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 61763186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r. Let h(l) = l. Let b(v) = -2*h(v) + n(v). Let a(w) = w. Let p(s) = -2*s. Let j(i) = -5*a(i) - 2*p(i). Determine b(j(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7592.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69*6*5\/(-360))\/(5\/20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81790000 rounded to the nearest one hundred thousand?\nAnswer: 81800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18289*y + 15 - 15.\nAnswer: 18289*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + -69 + -63 - -67.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5940 and 24940?\nAnswer: 7407180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/17 - 182*s\/17 - 564\/17 = 0.\nAnswer: -3, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = 2*o, -o = -4*o + 2*d. Find the third derivative of 0*j**5 + 3*j**5 - 3*j**2 - o*j**2 - j**5 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5201 and -0.909.\nAnswer: 5200.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 76683040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}