diff --git "a/data/dm_maths/full_data_1/10935_11255.jsonl" "b/data/dm_maths/full_data_1/10935_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10935_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of ((-40)\/(-30) - 1)*(4 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -30*j - 10. Let g(q) = -10*q - 3. Give 20*g(r) - 6*v(r).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 5044 + 3836 = 0. Calculate the remainder when h is divided by 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1437 = -2*y, -y + 4*j = 3*j - 717. Let l be (14 + -9)*(-103)\/1 + 2. Let c = y + l. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 848240 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42196348 times -0.03\nAnswer: 1265890.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 15. Let k be o(0). Suppose 4*t = t + k. Which is the third smallest value? (a) 2\/3 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 18 - 19. Let d be (-26)\/(-10) - 4\/(-10)*m. Solve -d*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284887 is divided by 20344?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.91 + -0.09. Let r = -594 + 2377\/4. What is the closest to 1\/4 in h, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 35. Let q(l) = -28*l**3 + l**2 + 2*l + 2. List the prime factors of q(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, 2, -19\/5, -74, -0.3, 0.62?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 52038)\/(8\/(-60)*3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7373, 0.1, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5982 - -5982 - (-1 - -22 - -2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huy when three letters picked without replacement from vhuhuuhvuhvyvhx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3276 and 117?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9898 or 9897?\nAnswer: 9898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17717*s*w - 941*s - 2*w + 1 wrt w.\nAnswer: 17717*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47560 and 2858356?\nAnswer: 28583560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-15))\/(1\/5). Suppose b*j = j - 21. Let t be 30\/56 + 6\/j. Put 3, t, 1 in decreasing order.\nAnswer: 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from nwll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 11. Let g(i) = -3*i + 80. Let r(o) = g(o) + 5*q(o). Let n be 150\/(-14) - 2\/7. Let y be r(n). Sort -2, y, 0, -3.\nAnswer: -3, -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3915 and 29?\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*v = -34900020, -5*a + 3*v - 47605359 = -12705344. Round a to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528798 is divided by 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.45 - -17.55. Sort -1\/14, 3, x, -1 in ascending order.\nAnswer: -1, -1\/14, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -189, -420, -743?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -439\/5 greater than or equal to -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6415567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 86*p**3 - 3*p - 72*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7885.692 and 5?\nAnswer: -39428.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**3 + 2*i**2)*(48 + 80 - 175).\nAnswer: -47*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 + n. Let r be a(-4). Let b be -4 - (r\/16 + 4). Suppose 1\/4*y**3 + b*y + 1\/2*y**2 + 0 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y**4\/7 + 58*y**3\/7 + 150*y**2\/7 + 54*y\/7 = 0 for y.\nAnswer: -1, -9\/19, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156781 is divided by 326.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 151432*f**2 - 1362951*f + 2725938.\nAnswer: (f - 6)*(f - 3)*(f + 151441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -34*u**2. Let q(l) = 9*l**2. Calculate q(i(r)).\nAnswer: 10404*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 + 2*r + 3. Let q be z(-2). Let u = q + 47. Calculate the remainder when u is divided by -1 + 354\/24 + (-3)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 11*w. Let b be h(5). Suppose -14 = -5*l + b*o + 1, o + 24 = 4*l. What is the first derivative of -37*i + 7 - 34 + l*i wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.5 (b) -0.1 (c) 0 (d) 0.4 (e) 0.15 (f) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 16*c + 18. Let w be j(-16). Is 549\/8 - w\/(-48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**5*u**3 + 97*m**2*u**3 - 79*m*u**2 + 5*u**3 - u wrt m?\nAnswer: -100*m**3*u**3 + 194*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5836354332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270\/16303289 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29854854, 59709700, 89564544, 119419386, 149274226, 179129064, 208983900?\nAnswer: 238838734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*5\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-1)\/6*2). Find the first derivative of -b + 3 - 11 - 22*j**2 + 46*j**2 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.614 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 8*w)*(2*w**3 - 1 - 4 + 6).\nAnswer: -16*w**4 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 38 - 18. Let l(w) = -2 - 5 - 2*w - 2*w + 6*w**2. List the prime factors of l(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**0)**(-43))**(-3\/4))**(-1))**(2\/99) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*v**3 - 34*v**3 - 27*v**3 + (v - 4*v + v)*(-v**2 + 3*v**2 + 0*v**2) + v**3 - 3*v**3 + 4*v**3.\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -20, 4, -4, -57.\nAnswer: -57, -20, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 10:06 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*b + 7*b - 1226, 5*b - 25 = 0. Suppose y*r + 336 = 308*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**3 + 3*n**2 + n - 13. Let x be l(3). Suppose 0 = 4*o - 2*a - 278, -o + x = 2*o + a. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/6*2 - 7100\/(-30) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 642, -5, 137 in ascending order.\nAnswer: -5, 137, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664080 is divided by 89.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 16 + -30 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1\/3, -2.\nAnswer: -26, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1427, -2775, -4123?\nAnswer: -5471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 8*n + 3*n**2)*(-12*n**3 + 3*n**3 + 6*n**3).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 40626512*t. Let l(m) = -14*m**2. Give l(i(s)).\nAnswer: -23107188682006016*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*o - 97*o + 38*o as a*o + c and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.8 (b) -5 (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 87936?\nAnswer: 87936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/9 - 6183*a + 6971500\/9.\nAnswer: -(a - 125)*(a + 55772)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-12))\/3)\/((-4)\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 - -377. List the prime factors of m.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p + 5. Let r be o(0). Solve s + 1 = 5*l + 2, -3*l = r*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*j + 15 = 0, -h + 2*j = 3*j + 11. Calculate the common denominator of -44\/3 and (h\/8 - -1)*(-848)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 16*c + 22. Let o(s) = -22*s - 31. Let p(q) = 7*i(q) + 5*o(q). What is p(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-12)*67712\/(-285660)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12*u + 13*u - 1 = 0, 2*u + 16 = 2*y. What is the nearest to y in -3\/4, -2, -7\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1601337, -1601339, -1601341, -1601343?\nAnswer: -1601345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - f = -0*f + 1357, 3*f - 6825 = -5*s. What are the prime factors of s?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.87*-603\nAnswer: -524.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*o - 4*o + 302 = 0, 4*o + 318 = 5*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - m + 21 - 19, -5*w + 4*m = -28. Solve 5 = 9*r - w*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - (-10)\/4. Let g(a) = a**3 - 2*a**2 + 0*a**f + 6*a - 3 + 0 - 9. Let s be g(8). Round s to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6583 + 3291 - 6*r + 3292 - 109*r**2 to the form c*r + t + q*r**2 and give q.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -k + 3*w, -60 = -3505*k + 3510*k + 3*w for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**2 - 8*k**2 + 21*k - 19*k + k**3 as i*k**2 + c*k**3 + p*k + f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(1\/18)*y))\/((y\/(y*y**37*y))\/y*y*y))\/((y\/(y**(1\/20)\/y))\/y)**8)**(-3\/7) assuming y is positive.\nAnswer: y**(-2641\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**4*o + 13402*g**4 + 2227*g**2*o + g**2 - g*o + 45*o wrt g?\nAnswer: -168*g*o + 321648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*t**3 + 281*t**3 - 83*t**3 + 47*t**3.\nAnswer: 292*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (-15 - -27) + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 235, 370, 505, 640?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + 162. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.5, 0.4, 5.\nAnswer: -0.7, 0.4, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 - 11*l + 8. Let n be t(8). Let v = 42330 + -42314. Calculate the highest common divisor of n and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 17 = -4. Let s be 18 + d - (0 + -3 + 6). Suppose 22*f - 536 = s*f. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344293 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88261840\/9 or -9806872?\nAnswer: -9806872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 + (-4 + -4 - -5)) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21281*y**2 - 1905*y wrt y?\nAnswer: 42562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -105*n**5\/4 + 52*n**4 - 11*n**3\/2 - 46*n**2 + 127*n\/4 - 6 = 0. Calculate n.\nAnswer: -1, 8\/21, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-172)\/(-6) + 20\/15. Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (275\/(-75))\/(1936\/(-56496)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13404 (base 5) to base 7\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(-2 + (-8)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 5:59 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9293 divided by 5\nAnswer: 9293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 36*l**2 - 70*l - 93. Let h be j(-38). Let d(v) = -3*v**3 - 6*v**2 + 5*v + 4. Let q be d(5). Let a = h - q. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - o - 17 = 0, 5*o + 51 = 5*d + 11. Suppose 0 = -4*l + 9 - 1. Suppose 4*c - 4*q - 58 = -l*q, -4*q - 41 = -3*c. Solve c = d*n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6536991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 30577?\nAnswer: -30570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5*d - 6 = 3*f, d - 5 = -4*f. Which is the third biggest value? (a) f (b) 1\/2 (c) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 + 6*n**2 + 4*n - 4. Let g(x) = -4*x**3 + 5*x**2 + 4*x - 4. Give 6*g(v) - 5*l(v).\nAnswer: v**3 + 4*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 - 87 = -3*g. Let z = -16 + 34. What is the units digit of 12\/(-54) + g\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-4)*(198\/1155)\/1*56\/(-148).\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 511*r**2 - 253*r**2 - 257*r**2 + 0 + 7*r in the form g*r**2 + x + w*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878431 is divided by 959?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*s**3 - 1665*g**2*s**2 + 83*g**2 + 217*g*s**3 + 85*s**3 wrt s?\nAnswer: 6*g**2 + 1302*g + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - (231\/(-12) + 4). Suppose p + 29*l - 28*l = 6, 0 = -5*l + n. Solve 2\/3*k**4 + 0*k - 8\/3*k**p + 8\/3*k**2 + 0 = 0 for k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -17. Suppose -5 = -2*a + 1. Let b be a - (-2 + 5\/1). Is x at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-24))\/((-8)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -2.26.\nAnswer: -0.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 36886\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9*919.\nAnswer: -3584.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 4*m**2 - 22*m + 82. Give f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 3*t, -2 = r - 2*t. Suppose -4*d = s - 24, -5*d - 1 = r*s - 49. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23576 (base 12) to base 15\nAnswer: e0e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*w*x**2 - 1691*w - 166*x**2 - x + 1 wrt x.\nAnswer: -6*w*x - 332*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let l(m) be the second derivative of 327*m**3 + 5*m + 47. What is u(l(f))?\nAnswer: 1962*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -656406615.\nAnswer: -656406615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10 and (-4)\/(-4) + (-237)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33380 by -33380.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215.8721 rounded to the nearest integer?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 286*b**5 + 167*b - 2 wrt b?\nAnswer: 5720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2981486, -2981507, -2981528, -2981549, -2981570?\nAnswer: -2981591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1)*r**(5\/6)\/r)**(-19\/5))**34 assuming r is positive.\nAnswer: r**(-323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -4.2 (c) -3 (d) 3 (e) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 43, -3\/5, -4, 14\/55?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*b - 10, -3*b + 4 = q - 4. What is the second smallest value in 112, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 25 - 26)*(-190*x - 228*x + 302*x) in the form h + p*x and give p.\nAnswer: 10324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-7)*u**(-11\/4)\/u)**1 assuming u is positive.\nAnswer: u**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8090*((-135)\/81 + 4\/6).\nAnswer: 2, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34150?\nAnswer: 2, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -235 - -236 - ((-7 - -3) + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-70)*6145\/(-1229)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70176886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 8*t**2 + 9*t. What is the least common multiple of r(7) and (5 - 1)*3\/4 - -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (81\/36)\/((-7)\/(-28)). Are 136\/15 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-50)*((-10)\/(-25) + -4)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 5, 2, -4, -6, 46.\nAnswer: -36, -6, -4, 2, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (1 - 4\/(-2)). Let q(y) = -y**2 - 3*y + 2. What is the units digit of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32348566.\nAnswer: 2, 16174283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03392813288 to five dps.\nAnswer: 0.03393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564505 is divided by 5116?\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 8 + 9*n + 4*n + 5*n as q*n + a and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/117738 and 19\/651.\nAnswer: 824166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*b - 65 = -2*i, 0 = -4*i - 2*b - 601 + 591 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -25. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 73938940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25052668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*s**5 + (3*s**4 - 3*s**4 - 2*s**4)*(-2*s - 2 + 2) + s**5 - 3*s**5 + 0*s**5 + 13*s**2 - s**5 + 0*s**5 - 12*s**2.\nAnswer: 4*s**5 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8907599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -38 and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -12, -1, 18, 45, 80?\n\"Answer: 4*n**2 - 9*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = 4*w + 1, 0 = 4*w + i - 8. What is the third derivative of -p**w - 3*p**6 - 2*p**2 - 3*p**2 + 5*p**2 wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146323324 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -g, 9*d - 6*d = g - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10594780 to the power of 1\/2, to the nearest integer?\nAnswer: 3255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -881 + 899 - (51 - -1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*z + 1144, 231 = z - 2*u - 0*u. Let c = z - 89. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3477054 is divided by 1765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 3. Let r be q(-3). Suppose 0 = 2*p - r + 8. Calculate the common denominator of -61\/32 and 37\/(-6) - 3 - p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*c**2 - 7*c**3 + 534*c**2 - 1674*c**2 + 600*c**2.\nAnswer: -7*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 - 3.59. Let x = a + -0.5. What is the second smallest value in -2, x, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2946 - 16*x - 2946.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5604515, 3, -17 in descending order.\nAnswer: 5604515, 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 21663 + 91922 = 3*n. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:24 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -168a4 (base 14) to base 5\nAnswer: -3302332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(16\/144).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.291 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b. Suppose m - y = 3, -2*m + b*y + 36 = 4*y. Solve m = i + 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = r - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617443 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: What is prob of sequence yo when two letters picked without replacement from {y: 1, k: 10, u: 3, c: 2, o: 2, d: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:30 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26209, 52359, 78441, 104455, 130401?\nAnswer: 156279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*j - 16*j - 14*j)*(-j + j + 2*j)*(2*j**2 + j**3 - 2*j**2).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1302 = -0*o + 7*o. Suppose -4*h + 37 - o = -3*z, 4*h - 4 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, -1, 36 in ascending order.\nAnswer: -4, -2, -1, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18189\/10 - 7287\/4. Let g = -3 + 6. What is the common denominator of (-142)\/(-18) + g\/(-6) and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 105 in 2, 1\/9, -3, 0.04, -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 9. Let z(u) = 2*u + 19. Let k = -23 + 17. Let h(d) = k*z(d) - 13*l(d). Let b(m) = 2. What is -5*b(j) + 3*h(j)?\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 5, 1, -26, -111 in descending order.\nAnswer: 103, 5, 1, -26, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - b**4 + 2*b**4)*(58*b + 58*b - 1 - 125*b).\nAnswer: -9*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35810148 and 5544?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -4*b + 225. What is the remainder when b is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23757 is divided by 9816?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75372185 to the nearest integer?\nAnswer: 8682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/15*(-319 - -64). Sort 0, -3, 4, y in increasing order.\nAnswer: -3, 0, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1782 and 1620.\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12087 and 711.\nAnswer: 12087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (-38)\/(-10) + 1. Let h be (-13 + 4 + -6)\/3. Which is the smallest value? (a) z (b) h (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 18*p + 3*p)*(-6 - 1 + 8).\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/11)*h)\/h**9)\/((h**(3\/5)*h)\/(h\/h**(-2\/9))) assuming h is positive.\nAnswer: h**(-4282\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3801 is divided by 1142.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16*(-2 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5213 - 5208. Sort 4, 14, w in increasing order.\nAnswer: 4, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 5*l**2 - 4*l - 7. Suppose -h - 2*h = -18. List the prime factors of b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*k**2 - 5*k**2 - 3 in the form j*k**2 + w + s*k and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16 + 1.84. Let m = 1.352 + -0.352. What is the biggest value in m, -9\/7, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18576 times -602?\nAnswer: -11182752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 4:55 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {y: 4, m: 7, a: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017555896 to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l - 24. Let v be 0 - ((-3)\/l + -1). Let -5\/2*i**2 + 2*i**3 + v*i + 0 = 0. Calculate i.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(153) + 2*sqrt(153) + sqrt(153))*2)\/(sqrt(108)\/(-2*sqrt(12))).\nAnswer: -16*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -247.6.\nAnswer: 247.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -16. Suppose 3*c - 5*f - 28 = -7, c - 11 = 3*f. Let i = c + 0. Solve -i*y = -3*r + 20, -2*r + 2*y + 8 = -u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1314 and 1314.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 2:46 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuiuuuuiui. What is prob of picking 3 u?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -19*v**6\/120 - v**5\/20 + 5*v**4\/24 + v**3\/2 - v**2. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o + 7 = -51*o + 529 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 9:16 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -15. Suppose -5*h = q*u - u + 10, -u - 6 = -h. Suppose s = -h*s. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + s**2 + 2*s + 24607. Is g(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (778492\/130)\/((-8)\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*t - 20 = 2*f - 424*t + 224*t, -4*f - t - 46 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let a(o) = -13223847*o - 91952. Let r(i) = 5752*i + 40. Let p(t) = 5*a(t) + 11494*r(t). Determine p(v(j)).\nAnswer: 11494*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -7705*h**2\/2 + 12715*h - 4782. What is the first derivative of d(y) wrt y?\nAnswer: -7705","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/9*7\/(-35) - (-2 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*l + 3 + 95*l - l**4 - 7*l**3 - 187*l + l**2 - l**4 to s*l**3 + g*l**2 + j*l**4 + r + f*l and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 8 (c) -0.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*s**4 - 1 - 217*s**4 + 2*s**2 + 2 - 2*s + 10*s**3 to z + h*s**2 + d*s**4 + f*s**3 + o*s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56)\/(-10) - 16\/(-40). Suppose 0 = 3*x - f. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-10))\/9*(-2)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(600)\/(sqrt(12)*2) + (sqrt(50)*2 + sqrt(50))**2*3 + 6*(sqrt(6050) + -5 + -3).\nAnswer: 665*sqrt(2)\/2 + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 92*y**2 + 2*y + 2. Let q be c(-1). Suppose -j + 24*j - q = 0. Solve 9*b - j*b = -15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -17*g**3 - 695*g**2 + 80*g - 79. Let b be f(-41). What is the closest to 5 in b, 4\/9, -21, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 23*j**2 + 361*j + 120. Determine p(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1. Let y(z) = -4*z. Let j(c) be the first derivative of 3*c**2\/2 - 5. Let g(m) = 3*j(m) + 2*y(m). What is g(p) - 2*i(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n)*(5*n**2 - 3*n**2 + 0*n**2) + (5*n - 2*n + 0*n)*(n - n + 2*n)*(7*n + 0*n - 2*n).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1571*u + 1571*u - 3*u**2 + 4.\nAnswer: -3*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b - 5. Let f(c) = -c - 1. Suppose -p + 3*p = 32. Suppose -30 = p*v - 21*v. Determine v*f(z) - m(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 136 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x = -24*x - 24*x, 0 = 4*w + 2*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2782 or -2786?\nAnswer: -2786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 21 = -4*b, -b - d + 3 = b. Let n(a) = 11*a + 1. Let r be (-2)\/3*-3 + -1. Let c be n(r). Solve -s + 4*s + c = -h, -4*h + 12 = -b*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyuxu. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1416308)\/(-44) + 84\/462 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3986 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 + k - 3. Suppose 3*c - 5 + 26 = 0. Let v be g(c). Suppose q - 8 = 5*p + v, -61 = -3*q - p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*d + 954426 - 953851 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861075 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 167453 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24090*r*s**2 - 95442*r*s wrt s.\nAnswer: 48180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 - m**3 - 15*m**2\/2 + 8*m - 42. What are the prime factors of w(-7)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 5*o + 3*f, -f + 3*f - 14 = o. Let q = -5 - o. Suppose -n - 2*p + 1 + q = 0, -3*p = 0. What is the greatest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - -0.1. Let q = y - -2.8. Is q greater than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1443 and 35\/36524254.\nAnswer: 109572762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z + 4 = 0. Let d(i) = -i**2 - i. Let r be d(0). Suppose 0 = -r*y - 3*y - 6. Is y not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17702 (base 16) to base 8.\nAnswer: -273402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-44) - 4526\/(-25014). Let f = -59129\/5685 - i. Is -11 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.67 * 28\nAnswer: -18.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from rbbkwwbbbbbbwbw.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 431 = 3*v, 4*v - 15 = -v. Let l = m - 73. Let u = -62 - l. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -991*h**3*w + 15*h**3 - h**2 + 2*h*w + 4*h - 240 wrt h?\nAnswer: -5946*h*w + 90*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 11*c = -23*o + 79, -2*c + 3 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29137217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/2926 + 130195\/11704. What is the common denominator of 1\/4 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 4, a: 1, w: 1, f: 2}. Give prob of sequence pwa.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/20 and -23\/3346?\nAnswer: 33460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 8. Let x be d(-7). Let i = -20 - x. What is the remainder when 7 is divided by (42\/i)\/(-4 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506260 - 260693. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.04, 0.2, 0.02, -2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + 1*sqrt(143)*-2)\/(sqrt(11) - sqrt(44)\/sqrt(36) - sqrt(11)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -78*n**3 + n**2 - 2*n - 2. What is x(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 38.5. What is the second biggest value in -0.2, m, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 26 - 20\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3135 and 2451.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -55, -73, -93, -115?\n\"Answer: -g**2 - 13*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22491?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 53. What is the least common multiple of 12 and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, 9, -62, -197, -414, -731, -1166?\n\"Answer: -3*y**3 - 5*y**2 + 11*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = 4*q. Let z = q + 7. Suppose -5*d + 3*f + 82 = 0, d + z*f = -0*d - 6. Calculate the highest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 6*i**2 - 6*i - 25. Let u be g(-7). Let y(q) = -q + 6. Let k be y(5). Let m be u\/9 - k\/3. Solve m*h = 3*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = -i - 0*i, 0 = 3*i - 9. Suppose 22 = t + 4*z, -w*z = 5*t - 4*z - 110. Calculate the least common multiple of t and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 3304?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 8*j - 4. Let a be o(7). Suppose -13 = a*b - 16. Solve -h + 3*l + 3 = 0, b - 2 = 5*h + l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 324. Let j = -143 + p. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(156) + (sqrt(156) - sqrt(156)*2*5))\/(2*sqrt(432)))**2 + 5 + sqrt(117)\/(sqrt(18)\/sqrt(2)) + 5.\nAnswer: sqrt(13) + 115\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 - 28*t**2\/3 + 86*t\/3 - 20.\nAnswer: 2*(t - 10)*(t - 3)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a + 1\/4*a**4 - a**2 - a**3 - 99. Determine y(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -67\/3. Let f be ((-40480)\/840 + 48)\/(6\/(-21)). What is the closest to 0.1 in f, l, 0.4, -4\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3 + 13*f**4 - 8*f**3 - 2936 + 26727221*f + 12092 - 26727222*f wrt f.\nAnswer: 52*f**3 - 27*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (162\/(-24))\/((-3)\/12) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 3105?\nAnswer: 1\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3868 - 1764. Let x = -5872 + f. Is ((-1)\/4)\/(6\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(54769*v**2 - 2*v**5 - 54769*v**2 - 34*v).\nAnswer: -4*v**5 - 68*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251736794 to the nearest integer?\nAnswer: 15866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeeeaeeaaeeeeeeeaee. What is prob of sequence eaee?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 383640+16115\nAnswer: 399755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 3124.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/2 + 288*a - 29281\/2 = 0. Calculate a.\nAnswer: -623, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2040622299 to the nearest integer?\nAnswer: 45173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 972 and 2008.\nAnswer: 487944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 5*k + 4. Let x(t) = t**2 - 5*t + 5. Let l(n) = -2*n**2 + 5*n - 5. Let j(o) = 3*l(o) + 2*x(o). Let q = 89 - 94. Give q*v(w) - 4*j(w).\nAnswer: w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, 68, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/8)\/(1\/(-4)). Let b(x) = -3 + 3 + 4*x + 6 - 9. Determine b(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26903 - 26885. Solve -4 + 94 = t*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2810.3287 + 2811. What is t rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2. Let s(v) = -10*v. Let i(f) be the third derivative of -11*f**4\/12 - f**2 + 14. Let u(y) = -6*i(y) + 11*s(y). Determine d(u(l)).\nAnswer: -1936*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 942*y - 3. Let u(x) = -1879*x + 7. What is 6*u(j) + 14*w(j)?\nAnswer: 1914*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 210 = 234. Put l, -8, 0, 5 in increasing order.\nAnswer: -8, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-396*k + 203*k + 81 + 195*k)*(3*k**3 - 3 + 3) as g*k**4 + q*k**3 + o*k**2 + w + p*k and give q.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -33*a + 50. Solve 0 = 3*x - a*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126172 is divided by 5395?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*(-192)\/16266. Let h = l + -273523\/48798. What is the common denominator of 89\/18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -674322\/7 + 96110. Let a = c + 222. Let g = -11\/20 + 581\/20. What is the common denominator of g and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b45 (base 13) to base 7.\nAnswer: -24253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:49 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(675) - sqrt(675)*2) + -4 - -2*(-1 + sqrt(675)))*5 + -5).\nAnswer: -450*sqrt(3) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 0*z**4 + 0*z**4 - 545*z**2 + 545*z**2 + 38*z**5 + (3 - 3 + 2*z)*(2*z**4 + 3*z - 3*z).\nAnswer: 40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2 - 1. Let h(k) = 18*k + 116. Let p be h(-8). Is p\/(0 + 0 + f) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/15 + (-16)\/(-20). Let y(n) = n + 16. Let l be y(-14). Sort l, c, -4, 0 in descending order.\nAnswer: l, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2167?\nAnswer: 26004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 0*j + c - 25, 0 = -j + c + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w\/(w\/(w\/w**(-2\/23)))*w**2)\/((w*((w**(1\/3)*w)\/w)\/w)\/w)**3)**(-39))**(47\/2) assuming w is positive.\nAnswer: w**(-170469\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -605 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3049, -3048, -3047, -3046, -3045, -3044?\nAnswer: -3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9344 - 2.02. Let k = b - 6.9144. Sort k, 2, -8 in decreasing order.\nAnswer: 2, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1386272)\/(-462092) - 3). Let o = k + -274523. Round o to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10288863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101000 (base 2) to base 16.\nAnswer: -1e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**4\/6 - d**3\/6 - 74*d**2. Let c(w) = -w + 7. Let t(u) = -u + 11. Let r(h) = 8*c(h) - 5*t(h). Give 5*o(a) + 6*r(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g*h**3*s + 2717*g*h**2*s**3 + h**3*s + 4200*h**2*s**3 wrt g.\nAnswer: -5*h**3*s + 2717*h**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 3 + 5 - (sqrt(121) - 6*1*sqrt(121))\/sqrt(11).\nAnswer: 8 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*d, -4*d + 2 = 3*b - 2. Suppose -v = -2*g + 3 + 1, b*g = 4. Is v\/(-3 - (-74)\/26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0369224 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492026*z - 288 = 492074*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3467 divided by -11\nAnswer: 3467\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - q)*(4*q - 2*q - q) - 4*q**2 + 4*q**2 + 2*q**2 - q + q + 2*q**2 - 2*q**2 + 0*q**2 + 0*q**2 - 5 - 3*q**2 + 5 + (0*q + 4*q - 3*q)*(-5*q + q + q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12305*i**3 + 8985*i**2 + i wrt i?\nAnswer: 73830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4104 and 1519506?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/4)\/2 - 5. Let s be (-10)\/(-100)*z\/2. Let r = -1.1 - -5.1. What is the nearest to s in -3, r, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) 4 (c) -0.1 (d) 55 (e) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2021211 + 3?\nAnswer: -2021203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -157*k + 158*k - 4, 3*w + 5*k + 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -21*d**5\/5 - 20233*d**4\/5 + 194507*d**3\/5 - 90543*d**2\/5 - 52542*d\/5 = 0.\nAnswer: -973, -1\/3, 0, 6\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*c - c + 4*c)*(c - 2 + 2) + 0 + 0 + 2*c**2 + (2*c - c - 2*c)*(1 - 5 - 13)*(-4*c + 0*c + 11*c))*(3 - 3 - 4*c).\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7067 and 3499.\nAnswer: -24727433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-12 - (-14 - -10 - 6)) + 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268459 to the power of 1\/2, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -340*t + 1. Let l be m(-7). Suppose 2*q = -k + l, k - 5*q = 5*k - 9527. Suppose -3*p + k = -2*c, 3*c = -p - 350 + 1159. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 + -1) - (40 - 27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8775 - 1.1775. Which is the fourth smallest value? (a) 0 (b) 2\/5 (c) -3 (d) -19 (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 + s**2\/2 - 6*s + 16. Let l(v) = -v. Let o(c) = -4*l(c) - y(c). Let x(u) be the first derivative of o(u). Give x(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5094, 10184, 15268, 20346, 25418, 30484?\n\"Answer: -3*w**2 + 5099*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5457 and -25\/100473.\nAnswer: 1708041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.7975 * -14670\nAnswer: -11699.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 176, 1\/3, 0.1, -5, 2\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -20*m - 86. What is p(-13)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/11 or 116\/7?\nAnswer: 116\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 288388363 and -4.\nAnswer: -1153553452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0.56 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -433.7 rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26*j**2 + 11*j - 13. Let h(l) = 13*l**2 + 6*l - 7. Let m(t) = 6*a(t) - 11*h(t). What is the first derivative of m(g) wrt g?\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622 (base 8) to base 9.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290754395*u**3*x - 42*u**2*x + 119201*u**2 + u - x wrt u.\nAnswer: 1744526370*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 44. Determine s(-33).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 234 = -740. Let z = 49 - l. Solve 4*h - z*f + 0*f - 31 = 0, -3 = 3*h + 3*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/((-1748)\/(-138))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2 + 4. Let p be (12*q)\/(6\/(-4)). Let x(m) = m**3 - 3*m**2 - m + 3. Let r be x(3). Solve r = -v + 4 - p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200 + -24. Let p = s + -178. Let w = -2.8 + -0.2. What is the closest to -1 in 2\/11, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 1\/24*y**4 + 33\/2*y**2 + 0*y**3 + 0*y + 4. Let p(g) be the second derivative of f(g). Let o(l) = -l. What is p(o(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3*(-387)\/3. Suppose -3*f - y = -5*m, -3*f = -2*m - 2*f + 34. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 822 divide 59087004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 61 + 3*h**2 + 43.\nAnswer: 3*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1936, 3, -1, 37, 217 in decreasing order.\nAnswer: 217, 37, 5, 3, -1, -1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20122.38*-0.1\nAnswer: 2012.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*u**2 - 99264*u + 90594.\nAnswer: 2*(u - 2157)*(23*u - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmememmmm.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8442 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.266 * -4.\nAnswer: -1.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + 13?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -244 - -412. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1269*m + 5080. Let t be o(4). Let u(g) = 3*g + 4*g**2 - 3*g**2 - 13 - g**3 + 3*g**2. Determine u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*g + 9, 0 = -2*g + 3*f + 7 - 1. Solve -g*l = -b + 2, -4*l + 9*b + 12 = 4*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**7*q))\/(q*q**(2\/49)))\/(q\/(q\/((q\/(q*q**(-2\/33)))\/q*q))*q\/((q*q**(1\/3)\/q)\/q)))**(-13) assuming q is positive.\nAnswer: q**(68445\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.74905 + -0.2?\nAnswer: -207.94905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -c7 (base 14) to base 4\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.06, 688, -71 in decreasing order.\nAnswer: 688, 0.06, -0.1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/12 - 5*w**4\/24 + 5*w**3\/3 + 7*w**2. Factor b(p).\nAnswer: -5*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 108. Calculate g(-98).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x**2 + 66 + 20*x**2 + 6*x - 5*x wrt x.\nAnswer: 32*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/19087373 or 0?\nAnswer: 16\/19087373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -642, -1, 81427 in descending order.\nAnswer: 81427, -1, -3, -642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -144239 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 56673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -48, -3 in increasing order.\nAnswer: -48, -3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1409 + -1404. Solve -s*m - 18 = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -644835*f**2*q**3 + 8*f**2*q - 2*f*q**3 - 10*f*q**2 - 5*q**3 - 9395*q**2 wrt q.\nAnswer: -3869010*f**2 - 12*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2325 - 902. Let m = 457 - y. Which is the closest to -0.2? (a) m (b) -1\/4 (c) 8 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1425871 > -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.484 + 0.084. Let w = -7.1 - t. Put -1\/2, -1\/9, w in descending order.\nAnswer: w, -1\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2 - 23500*i + 27750424 = 0.\nAnswer: 1637, 4238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2\/2 - 7533*f\/2 + 3768 = 0. Calculate f.\nAnswer: -2512, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -175000404 + 6\nAnswer: -175000398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -16896*q**3 - 1356*q**2 + 1797*q + 270 = 0. What is q?\nAnswer: -1\/4, -2\/11, 45\/128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (4 - 23) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 + 4*n**2 - 8*n. Let r = -1416 - -1423. Let x(m) = -5*m**3 + 5*m**2 - 9*m. Determine r*w(g) - 6*x(g).\nAnswer: -5*g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1724 and -23\/2155.\nAnswer: 8620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8d7b8 (base 14) to base 7\nAnswer: 2633321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -5 (c) -4\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgazajzzccggdjj. What is prob of picking 1 a, 1 d, and 1 c?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.94 and -0.028846?\nAnswer: 0.02711524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58190617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56907*g**4 + 8340*g?\nAnswer: 682884*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahsahzsyh. Give prob of picking 1 a, 2 h, and 1 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-49)\/(-28)*-4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398\/22797 or 1?\nAnswer: 398\/22797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*u - 3*u + 8*u)*(-1334*u + 245*u - 231*u) in the form x*u + n + m*u**2 and give m.\nAnswer: 6600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101)\/17 + 1 + (-35)\/(-7).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29 + -21.29. Let i = y - -19.7. Let n = i - -8.3. Put 1\/4, n, -4 in decreasing order.\nAnswer: n, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 3624.\nAnswer: -724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4\/4 + 4*h**3\/3 - 6*h**2 - 26*h - 44. Let s be z(-5). Differentiate -2*m - s*m**2 - 7 + 22*m**2 - 37 with respect to m.\nAnswer: 26*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 635775 and 890085.\nAnswer: 4450425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -3 (c) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/80*(-3)\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose g*r - r = 2. Solve c - 3 = r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pall when four letters picked without replacement from caclclllaclpllclcccc.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x. Suppose -4*n - 4*j - 12 = 0, -3*j - j - 10 = 5*n. Let s(b) be the second derivative of 0 + 5\/2*b**3 - 27*b + 0*b**n. Determine s(u(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -151. Let x = 11 - 8. What is the nearest to -1\/4 in m, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21056 or 21004?\nAnswer: 21056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 13 = -5. Suppose -2*m + 2 = z - 5, -j*z + 23 = 3*m. What is the remainder when 3 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-63))\/((-3)\/14).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -14*j + 90. Calculate the least common multiple of 135 and (-6)\/15 + (-1131)\/j.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352012 is divided by 136.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -129*h + 47*h + 19*h + 42*h + 49*h. Let o(i) = -12*i. Calculate o(l(q)).\nAnswer: -336*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*t + 5*n - 11, 0 = -4*n + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33925500*l**3 + 33925513*l**3 - 65 - 24.\nAnswer: 13*l**3 - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 - 19 = 0. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11621 or 2\/7467?\nAnswer: 2\/7467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320 by -16.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 52953893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/8))\/d*d*d)\/d**(-2\/7))\/(d**(-6)\/d*d\/(((d\/(d*d\/((d\/(d\/((d\/(d\/d**5))\/d)))\/d)))\/d)\/d)*d) assuming d is positive.\nAnswer: d**(415\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2188509, 2189051, 2189593?\n\"Answer: 542*b + 2187967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 6*m**2 - 8*m**2 - 4*m**2 + 3*m**2 + 2*m**2 + (-m**2 + 1 - 1)*(-2 - 1 - 3) to the form d + i*m**2 + x*m and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*(1*sqrt(2736) + -3)*6 - (2 + -1 + (sqrt(2736) - (sqrt(2736) + 2)) + sqrt(2736) + -1)))**2.\nAnswer: -44400*sqrt(19) + 1715476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -451*t - 1507. Is 33 a factor of w(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3936 + 3941. Which is the nearest to 17? (a) g (b) 2\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let f be 1*(0 + -2 + -4). Let j be c(f). Sort -5\/4, -2\/9, j.\nAnswer: -5\/4, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -110010?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 - ((-4230)\/33)\/10. Let k(u) = -u**3 - 13*u**2 - 1. Let o be k(-13). Suppose 0 = -g - 0*g + 1. What is the nearest to o in q, g, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 114, 3, -4, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/(-24)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218.7 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -4 - (-3 - (-5 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -208, 66, 2174, 7466, 17292?\n\"Answer: 225*u**3 - 433*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8066?\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. Let l(p) be the third derivative of p**4\/24 - 2*p**3\/3 - 5*p**2. Let i be l(9). Determine c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 65411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 - 74 = -5*r. Let w(d) = -8 - 3*d**3 + 9*d**2 + 31*d - 21*d**2 - 24*d + 8*d**3. Let b be w(5). Calculate the greatest common divisor of r and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 964746\nAnswer: 11\/482373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -5, -3, 1\/10, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*f**2 + 6*f**2 - 5*f**2)*(-3 + 5 - 1 + f) to v*f**3 + t + s*f + z*f**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 758*t - 4551. Let j be k(6). Let z(b) = -38*b - 1. Let w(m) = 190*m + 6. Determine j*w(y) - 16*z(y).\nAnswer: 38*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, 100\/33, 4, 0.04, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7386, -7387, -7378, -7353, -7306?\n\"Answer: i**3 - i**2 - 5*i - 7381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1029 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/900 + a**5\/300 + a**4\/10 + 28*a**3 + 2*a + 50. Let d(y) be the second derivative of i(y). Factor d(p).\nAnswer: -2*(p - 3)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 990?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let f(a) = 3 + 1 - 2 + 4. Let x(q) = f(q) - 3*h(q). What is the derivative of x(n) wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 3. Let m(y) be the first derivative of -5*y**2\/2 - 5*y - 1. Let h(c) = -4*m(c) - 7*p(c). Calculate h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7286\/25501)\/(1\/(-112))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5006548 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: Suppose -3*o + 2*x = 3, 4*o + 2*x = 2*o + 8. Let h be o*839\/(-2)*2. Let z = -5848\/7 - h. What is the common denominator of z and 55\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9061.7 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1959 and 1959 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6*4\/(-36)*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**49\/(c**(2\/5)\/c**6)*(c\/c**(-4\/7)*c**(-4)*c*c)\/(c\/(c**(2\/9)\/c)*c**(2\/9)) assuming c is positive.\nAnswer: c**(111\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*k - 2*a**3*k**3 - a**3*k**2 + 151*a**2*k**3 - 2*a*k**3 wrt a?\nAnswer: 24*a*k - 12*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 11*q = -y - 24, -y = -5*q + 128. Calculate the greatest common divisor of 72 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 - 4*k**2)*(39 - 48 - 105).\nAnswer: 114*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -967*l**2 - 16*l + 125. Let k(p) = 484*p**2 + 7*p - 62. Let h(r) = -5*k(r) - 2*q(r). What is the second derivative of h(i) wrt i?\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14*n + 2. Let r be i(-1). Let k be r\/(-18)*240\/2. Is 30 a factor of 36\/8*k\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286 - 2285\/8. Which is the second biggest value? (a) p (b) -12 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/89 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -272506 (base 12) to base 2\nAnswer: -10011101111101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 212562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/(c\/(c\/c**7)))\/c)\/(c\/c**(1\/6))*(((c**(2\/7)*c)\/c)\/c)**50)**(-27))**(7\/8) assuming c is positive.\nAnswer: c**(16083\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233 - -314?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38845080 and 20.\nAnswer: 38845080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1\/10 - 6\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1112*z**2 - 7*z - 2. Let f(l) = -5559*l**2 - 37*l - 11. Give 2*f(u) - 11*x(u).\nAnswer: 1114*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 - ((3 - 9) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 13*j**2 + 29*j**3 - 38*j**3.\nAnswer: -9*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 14*a**3 + 3*a**2 + 3*a + 2. Determine g(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641637?\nAnswer: 3, 71293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-1)*(-492)\/(-492)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -784*n**5 + 554*n**4 - 32*n**2 + n - 142663.\nAnswer: -47040*n**2 + 13296*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.2. Suppose 4*a - 3 = 1. What is the closest to u in 4, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 1, -1, 3 in decreasing order.\nAnswer: 14, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 87, 170, 291, 462, 695, 1002?\nAnswer: 1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0*q = -4*k - 5, 3*q = -4*k - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44936556 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4473*w**3 - 82*w**2 - 2*w wrt w.\nAnswer: -26838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*g = 27*g + 124. What is the closest to -0.2 in 48, g, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59289828 divided by -417534?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 86208.6 millennia?\nAnswer: 86208600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by -40.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:23 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1648 and 77\/10.\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1038\/155 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 199*y**2 + 23058*y - 1306. Determine g(82).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, -8, 3 in decreasing order.\nAnswer: 20, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 50*n - 1. Let u be p(-25). Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510 is divided by 636?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-3))**(-18)\/(v**3*v\/(v*v\/v**(-2\/17))))**(-2))**(29\/5) assuming v is positive.\nAnswer: v**(72848\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3024 and 1008.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 111 = -4*o, -5*o + 0*o + 18 = -m. Let z = 28 + m. Suppose -4*n - n + c = -297, 4*n = z*c + 246. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 26*a + 64 = -l - 15*a, -91 = 4*l + 3*a for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20*r = 18*r - 1372, i = 2*r + 460. What is the least common multiple of 1653 and i?\nAnswer: 13224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 0 + 5 - 3. Suppose -2*d = 3*d + u + 42, -3*d - 14 = -5*u. Let m be d\/12 - (-4)\/(-3). What is t(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 1\/5, -15, -523, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9075 and 227689?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1104 and 93\/1496702.\nAnswer: 35920848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -12 in decreasing order.\nAnswer: 9, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x*z - 184*x + 9*z - 15 wrt x.\nAnswer: -2*z - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17646 is divided by 17121.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 24\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 103, 190, 315, 490, 727, 1038?\n\"Answer: 2*s**3 + s**2 + 44*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 117*n**2. Let g(j) = 118535*j**2. Calculate o(g(p)).\nAnswer: 1643913908325*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/1344*24)\/(6\/96)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -105.18. Let d = 0.38 - i. Which is the closest to 1? (a) 3 (b) 0.15 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 2, k: 1, h: 1}. Give prob of sequence zh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 431660, 863263, 1294866?\n\"Answer: 431603*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/119279 and -53\/347520.\nAnswer: 229015680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 138 = 2*m. Calculate the remainder when m is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/84*(-218)\/10355*76.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**12*z*z*z*z*z\/(z*z\/z**(-9))*z*z*z\/z**(-2\/11)*z*z*z\/z**1*z)**(20\/9) assuming z is positive.\nAnswer: z**(3340\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + 18\/24. Which is the nearest to 1? (a) -0.5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30590\/(-12))\/7 - (-8)\/48. Let j = w + 366. Let q(z) = 6*z**2. Let h be q(1). Solve -j*k = -h*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 609\/174*(-1)\/((-7)\/(-4)). Sort 3\/2, o, -2.8, 0.\nAnswer: -2.8, o, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Suppose -3*s - 8 = -s - 4*r, 19 = t*s - r. Let v(u) = u**3 - 6*u**2 - 2. Calculate v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/5 - 964383*k**3\/5 - 20672961075*k**2 - 739381284065625*k - 63434015857031250.\nAnswer: -3*(k + 86)*(k + 107125)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 3*s + 4. Let n(j) = 7*j - 8. Let x(i) = 6*i - 8. Let v(a) = -5*n(a) + 6*x(a). Let c be v(7). Let l be -3*((c - -3) + -1). Give q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 46*k**3 + 69*k**3 - 7 - 41*k**3 + 25*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let t = v + 75. Let u = 76.9 - t. Which is bigger: -28\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f + 2788. Let l(y) = 21*y + 4182. Calculate -8*h(n) + 5*l(n).\nAnswer: n - 1394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 51, 72, 95, 120?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -21*(86 + -80)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b22 (base 13) in base 6?\nAnswer: -1151210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2110 - 2.2\nAnswer: 2107.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 3\/5, -0.9, -17.8, 0.1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 < 13457\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (37\/3)\/((-1)\/(-623958)). Suppose 16781928 = 2*y + 2*y. Let k = y - t. Round k to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26580 + 26569. Which is the third smallest value? (a) t (b) 3\/10 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 1. Suppose 5*t = -0*t + k, w = -2*t + 10. Let q(x) = x**3 - 6*x**2 - 9*x - 4. Does 26 divide q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -5*o - 4. Suppose 4 = 2*f + 2*f + j, 0 = -5*f - j + 6. Are f and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 9*q - 15900 = 0. What is q rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4620070 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) -5\/4 (c) -2 (d) -2176 (e) -22 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.56?\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxpxppwxwwwnwx. What is prob of picking 1 n, 1 w, and 1 x?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 590? (a) -0.2 (b) -1 (c) -0.9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1100527 (base 8) to base 13\nAnswer: -a450c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u + 78. Suppose -i = -2*i. Let g be h(i). Suppose 3*w = 3*b + 177, -4*w - 2*b + g = -146. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 91 = 69*p + 334. What is the third biggest value in -7, 0.1, p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233 + 373 + 2855)*(-2 + 2 - 3*i**2).\nAnswer: -10383*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13) + -3 - sqrt(65)\/sqrt(5)*-6.\nAnswer: -3 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4617*w**3 - 20*w - 4519. Let q(p) = 3*p**3 - 10*p. Let k(d) = -o(d) + 2*q(d). Differentiate k(n) with respect to n.\nAnswer: -13833*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12546438 to the nearest integer?\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1132103 - -2100?\nAnswer: -1130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = 437 - 437. Solve -2*l - 3*a = -4*l + 6, -2*l + a + 2 = g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11671777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136 + -24. Let f = -1124\/7 - g. Let v = -0.3 - -0.2. What is the third smallest value in 0.2, f, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/4*1*(-40)\/80*(-4)\/6?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3331098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451 - 2544. Let w be k\/(-9) + (-14)\/(-63). Let x = w - 236. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -62, -3, 2, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 8*w - 1. Suppose 4*r + 102 = 10*r. Suppose -4*k - 7 = 3*l + 6, -k + 2*l - r = 0. Calculate f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 10345?\nAnswer: 351730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.1927467 and -1581.217.\nAnswer: -1578.0242533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 10) to base 16\nAnswer: -5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 14*w = -15*w + 4, -16 = -3*y - 4*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/17 (c) 0 (d) -196 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/525*q**7 + 0*q - 1\/60*q**4 + 0*q**3 + 0 - 1\/100*q**6 + 2*q**2 - 1\/50*q**5. Factor w(u).\nAnswer: -2*u*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -7*h + h. Solve 0 = -3*v - 2*t - 4, -32 = -h*v + 5*v - 3*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:19 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1272.7 + 1310.7. What is the second biggest value in 3\/2, -3, 1, d, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -2*x**6\/21 - 8*x**5\/35 + x**4\/7 + 8*x**3\/21 + 76. Solve m(f) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*m - 2280 = -110*m. Solve 0 = 559*f - 574*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11691 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/12 and -85\/42714?\nAnswer: 85428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 5*m. Let g = 15 + -9. Let o be b(g). Let q(f) = -f**3 - 5*f**2 - 6*f - 2. Let p be q(-4). What is the greatest common factor of o and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 12) to base 2\nAnswer: 1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 4)\/(2 + 88\/(-48)). Suppose -1 = -4*l + 5*n + 2, n - 5 = -2*l. Suppose -a + 6 = l. What is the highest common divisor of u and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 0. Let r = 0.2156 + -0.5156. Put 1, t, r in decreasing order.\nAnswer: 1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 484 + -484. What is the nearest to d in 13, -0.03, 0.2, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1516*v**2 - 4896 wrt v?\nAnswer: 3032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -16. Suppose -3*u - 2*d + 16 = 0, z*d - 5*d = 10. Determine l so that -10\/3*l - 4\/3 - 2*l**u + 2\/3*l**4 + 2\/3*l**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -1\/210*k**5 + 0*k + 1\/7*k**3 - 1\/42*k**4 + 6*k**2 + 0. Factor i(r).\nAnswer: -2*(r - 1)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 1. Let d(g) = -38*g - 15. Let b(z) = 6*c(z) - d(z). Give b(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 174*z**2 + 687*z + 9. What is q(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20232 (base 4) in base 2?\nAnswer: 1000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/189 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 5, k: 6, l: 2, m: 1, j: 1}. Give prob of picking 1 e, 1 j, and 1 m.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16935956039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12200222 (base 3) to base 12.\nAnswer: 24a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/236114 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8339398, -16678804, -25018212, -33357622, -41697034, -50036448, -58375864?\nAnswer: -66715282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-5))\/((-2)\/(-10)). Let u(z) = 2*z**2 + 9321912*z - z**2 - 4 - 9321914*z. Give u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 493*d**2 - 3*d - 1. Let g be o(-2). Suppose -3947 = -4*p + g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = z - 25, -4*h + 4*z + 4 + 16 = 0. Let a = h + -5. Suppose 0 = -a*t + b + 5, -5*t + 3*b = -0*b - 15. Solve -15 = -3*u - t*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 632, -15, 8, -2, 13, 1 in descending order.\nAnswer: 632, 13, 8, 1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116 or -12\/433?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Suppose 4*w - 4 = v, 3*v = -4*w + 2 + 2. Let p(z) be the second derivative of -2*z - 1\/4*z**4 + 0 + v*z**2 + 0*z**3. Give m(p(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3 + 3. Let d = -12 - -7. Let f = d - -3. Which is the closest to -1? (a) 2\/17 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 288, 415, 744, 1377, 2416, 3963?\n\"Answer: 17*y**3 - y**2 + 11*y + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172630?\nAnswer: 2, 5, 61, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 28*j + 17*j = -118 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/944 and 73\/4130.\nAnswer: 33040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 747 = -15*g - 66*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003625698444 rounded to 7 dps?\nAnswer: 0.0000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 6 - 2)*-1. Let i = n - -14. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*x**2 + 5259 - 4*x - 69620*x**3 - 3*x + 69602*x**3 + 8*x**2 wrt x?\nAnswer: -54*x**2 - 6*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*s**4 - 25*s**3 + 94*s**2 - 1809487*s wrt s?\nAnswer: -180*s**2 - 150*s + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 35 = -5*a, -2*a = -0*a + 5*y + 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 4532000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/4135?\nAnswer: 1\/4135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:39 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-330)\/(-33)*4904\/10. Factor -4894*g + 6 + 5*g**2 + o*g - 21.\nAnswer: 5*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -561*s**3 + 15*s**2 - 24. Let x(u) = 7*u**3 - u**2 + 2. Give q(v) + 12*x(v).\nAnswer: -477*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -279*w**2 - 2*w + 5. Let g(n) = n**2 + 1. Let t(f) = 3*g(f) - x(f). Let p be t(2). Round p to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 33215.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 7) in base 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20016\/(-15))\/3 + 24\/30. What is the remainder when 13\/((-13)\/c)*7\/14 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10*h + 87 = 21*h. Solve h*r + 13 - 4 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5935\/6 + 970. Calculate the common denominator of o and (-53)\/2 - (0 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155401, 620626, 1396017, 2481586, 3877345, 5583306, 7599481, 9925882?\nAnswer: 12562521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -11 - -7 - ((9 - (18 - 7)) + -122)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {o: 5, j: 1, a: 7, c: 3}.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5113*n**3*y**3 + 23*n**3 + 2*n*y**3 - n*y + 43 wrt y?\nAnswer: 30678*n**3*y + 12*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81211996*d**2 - 393979286*d?\nAnswer: -162423992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297336898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -18, -37, -62, -93, -130, -173?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(3) - (-1*sqrt(243) - sqrt(243) - sqrt(3) - sqrt(3)))**2 + -4 + 0 + sqrt(3) + -5 + 2.\nAnswer: sqrt(3) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 6171 = -4981. What is the remainder when 1781 is divided by o?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/548980 and -27\/137245.\nAnswer: 548980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 1. Let r be t(0). Let d be (-19)\/(-44) + 32\/(-176). Is r smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3207334 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18892.\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*c**3 - 60*c**3 - 51*c**3 + 0*c**2 - 2*c**3 + 0*c**2 + 0*c + 0*c - 2*c**3 + (-2*c - 3*c + 4*c)*(2*c**2 - 4*c**2 + c**2).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454086.8um in millimeters?\nAnswer: 454.0868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45858206606 - -168\nAnswer: -45858206438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*l - 738 = -7478 - 7487 + 2779 for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*((-4 + 0 + 3)*(-z + 2*z + z) - 151 + 22*z + 151 + (4 - 4 + z)*(-1 + 2 - 2) + 2*z - 3*z + 6*z).\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**3 - 31*w**3 - 18*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -5. Let r = -4.97 + -0.03. Suppose -2*g - 2*g + 8 = 0. Which is the smallest value? (a) r (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 132*k + 1819. What is the remainder when 1453 is divided by r(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/5 - 1632*s\/5 - 6688 = 0.\nAnswer: -20, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 7 - 2. Let h be (v\/(3\/(-69)))\/1. Suppose -3*x - h = -r, 5*x + 13 + 2 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82275 is divided by 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2452815, -2452812, -2452809, -2452806, -2452803, -2452800?\n\"Answer: 3*v - 2452818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000082025 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/8)\/(-3)*4. Suppose -r*o + 5*o = 6. Suppose 2*j = 5*u - 10, 3*u - 4 = j + o. Solve 0 = u*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29000 is divided by 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253987*o - 253968*o + 507978*o.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 24*v - 50. Let j be g(-18). Suppose -j = -5*m + 1497. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1105738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -7*s - 4 + 5\/2*s**2 + 1\/3*s**3. Is l(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9612115 greater than 9612116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-78))\/(-2*(-10)\/60)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-12)*33*(1 + 2). Suppose 0 = -r - k + 8. Let b be -1 + r\/28 + 30\/40. Sort b, 0.4, 1 in decreasing order.\nAnswer: 1, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(176)*-3)*-4)\/(4*(sqrt(14)\/(sqrt(32) - sqrt(2)) - sqrt(7) - (sqrt(7) - sqrt(315)\/sqrt(5)))).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 19 - 24)*(-2*x + 3*x + 0*x) + (-675*x - 38 - 674*x + 1351*x)*(3 - 2 - 3) - 2*x - 2 + 2 in the form w + c*x and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -14*w**3 + 3*w**2 - 20*w + 8. Let m(s) = 9*s**3 - 2*s**2 + 13*s - 5. Calculate -5*h(t) - 8*m(t).\nAnswer: -2*t**3 + t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 4, 10 in decreasing order.\nAnswer: 10, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 8*m - 9. What is the tens digit of o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01188 times 0.12\nAnswer: -0.0014256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 8*a + 5. Is m(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*j + 9 = 0, -5*n - 5*j = -0*j + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(0 - -10). Let l be 60\/(-50)*t\/(-2). Suppose p - l - 21 = 0. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.27, 4, 3, -0.8?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8*s. Suppose 942 = 6*u - s*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.2 + 45. Let f = 1.3 + b. What is the smallest value in 1\/7, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from iiwi.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.05 + -0.55. Round s to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-24)\/(-3) + 2 + -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*n - 2)*(n - n + 5*n)*(4 - 3 + 2 + (-3 - 1 + 1)*(-4 + 6 - 4) + 0 - 1 - 1).\nAnswer: -70*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 646 + -376. Let k = -275 + p. Suppose -2*c + 0*c - 6 = 0. Put k, -2, 3, c in ascending order.\nAnswer: k, c, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7983 = 44*o - 9529. Calculate the remainder when o is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4*12\/(-15))\/((-4385)\/(-1754))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = -3*c, 2*c - 8 - 2 = -2*d. Let l be c*(702\/3)\/(-3). What is l rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2549597, -2549588, -2549581, -2549576, -2549573, -2549572, -2549573?\n\"Answer: -a**2 + 12*a - 2549608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -c, 4*n - 4*c + 23 - 7 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 23. Let o be l(-10). Suppose 9*r = 2*r - o. Let x be r*(57\/(-9) - (-2)\/(-3)). Solve -x*v + 2*v = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in seconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-42)*-298 + (-13 - 32 - -38).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 37080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 85, 125, 163, 199?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - x**2 + x**2 + 0*x**2 + 29.\nAnswer: x**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -21*l - 241. Let w be y(-12). Solve 0 = -w*s - 77 + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27096.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(c**3 + 0*c**3 + c**3) + c**3 - 4*c**3 + 0*c**3)*(-4*c - 3*c + 5*c)*(1 + 0 + 4).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 15) to base 4\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*i**2 - 871*i + 1652 + 2*i**3 + 871*i + 2*i**4 - 6*i**2 - 1646 in the form k*i + c + x*i**2 + v*i**4 + t*i**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/204*5\/(100\/(-36)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + 65. Let l = w - 24. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 24. Let w be m(5). Let l be 2\/2 - 82*(-8)\/w. Let j = l + 342. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**4\/2 - j**2 + 1. Find the second derivative of f(s) wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 11:59 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - c - 38 + 127, 2*c = j - 52. Let o = -29 + j. Suppose -4*l + 3*l = -3*k + o, -43 = -5*k - 2*l. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 38*u + 220. Let s be z(-6). Suppose -2*y = -5*y + 3. Sort 5, s, y, 0 in ascending order.\nAnswer: s, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/11, 4, 0.24, 1874?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**41)**(-1\/57))**(-22) assuming a is positive.\nAnswer: a**(946\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.7148 + -3873.4\nAnswer: -3874.1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**21\/k)\/k)\/((k*k**(-7))\/k))\/((k\/(k\/(k\/(k\/k**15))))\/(k\/k**(10\/7))) assuming k is positive.\nAnswer: k**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.2. Let v(l) = -2*l**2 + 5*l - 2. Let s be v(3). Let t = s - -8. Which is the biggest value? (a) 4 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**29\/q)\/q)\/(q**(-32)\/q*q) assuming q is positive.\nAnswer: q**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*f + 324689 + 944805 + 191978 = 0. What are the prime factors of f?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607887.\nAnswer: 3, 7, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 77*a + 418. Determine y(-31).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*a + 24243591 - 24245538 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -11*y - 1 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**5 + m**4. Let q(a) = -4*a**5 + a**4. Let f(s) = -3*d(s) + 2*q(s). Find y such that f(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14040 (base 5) to base 6\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, 56, 98, 166, 266, 404?\n\"Answer: j**3 + 4*j**2 + 3*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/5 - 76*t**2 + 8984*t\/5 - 9920.\nAnswer: 4*(t - 62)*(t - 25)*(t - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*o + 2*o = 26, 0 = -f + 2*o + 10. What is the lowest common multiple of f and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270319*b**4*q**3 - 5*b**4*q - 6570675*b**2*q**2 - 3*b*q**3 wrt b?\nAnswer: -6487656*b*q**3 - 120*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61652.24 centuries to years.\nAnswer: 6165224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 199 + 57 = 0. Let p be (-9)\/(-15) - (-3)\/(-5). Suppose 3*c = 5*f - p*c - 183, n = 2*f + c. What is the highest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7011c0 + 2?\nAnswer: 7011c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 (base 6) in base 5?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 7*h - 7. Suppose -209 = -3*m - 191. Let x be (m\/(-15))\/((-16)\/200). What is b(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*l**3 - 225*l**3 - 1243 + 623 + 620.\nAnswer: -545*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 3*y + 4*y + 229*y**4 + 1 - 230*y**4. Let a(k) = -64*k**4 - k**3 + k - 39. Let l(d) = a(d) - c(d). Find the first derivative of l(z) wrt z.\nAnswer: -252*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 9, -3, 86, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 1. Let o(l) = -11*l**3 - 55*l**2 + 55*l + 55. Let k be -77 + 25 + -2 + -2 + 1. What is k*i(t) + o(t)?\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 385 and 300.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.01 + -0.01. What is the second smallest value in 0.3, 6, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 0*t**3 + 0*t**3 + (0*t**2 - 2*t**2 + 0*t**2)*(0*t - t - t) + t**2 - t**2 - 2*t**3 + (2*t - 2 + 2)*(-4 + 4 - t**2) + 4*t**3 + 0*t**3 - t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 14. Let q = 5 + m. Put 0, q, 2 in increasing order.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153 - 4. What is the tens digit of (-4)\/6 + i\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/12 + (-4)\/6. Let i be 28*-1*(-3)\/v. Let y = i + -19. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 398475 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**3 + 2*j**2 - 2*j - 1. Let b(k) = -9*k**3 + 5*k**2 - 5*k - 2. Give -5*a(q) + 2*b(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -2117551163?\nAnswer: 2117551172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + s. Let w be d(-1). Let b(f) = 4*f**3 - f**2 + 1. Let h be b(1). What is the third derivative of w*p**4 - 2*p**2 + 0*p**2 - 4*p**h wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 + 157. Suppose 0 = -k*y + 4 - 1. Solve 0 = 5*x - 2*p + 2, -5 = 4*x - 4*p - y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + n**2 + 3*n**2 - 55592*n.\nAnswer: n**2 - 55592*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*h*k*q**4 + 90*h*k*q + h*k + h*q + h + 155*k + 3 wrt q?\nAnswer: -104*h*k*q**3 + 90*h*k + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13902 + 125120\/9. Which is the closest to p? (a) -1\/8 (b) -2 (c) 3\/7 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/597 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6516.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 3525154*t - 112802880.\nAnswer: -2*(t + 32)*(t + 1762545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 3*k - 3*k - 2761*k**3 - 733*k**3.\nAnswer: -3494*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*y - 53158, -35*u + 33*u + 21269 = 5*y. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4275162 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226 - 122. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6847, -13638, -20413, -27172?\n\"Answer: 8*g**2 - 6815*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335693 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 204 + -202. What is the nearest to l in 3\/8, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 3*q + 34374*q**3 - 11889*q**3 + 2*q.\nAnswer: 22485*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*r + 461*r - 990*r - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r*x**2 - r*x + 2275171*r - 842*x**2 + 326*x wrt x?\nAnswer: -2*r*x - r - 1684*x + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 + 0*z**2 - 1\/24*z**4 + 1\/24*z**3 - 2*z + 1\/80*z**5. Factor v(b).\nAnswer: b*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**0\/(b**8\/(b\/b**(4\/11))) assuming b is positive.\nAnswer: b**(-81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36679102?\nAnswer: 2, 18339551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f - 56. Let c be x(25). Suppose -3*r + 28 - c = 0. Solve 0 = -4*n - r*q + 8, -2*n - 7*q + 18 = -2*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7840708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose -v = -c*r - 6*v + 12, -r + v = -12. What is the highest common factor of 12 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:42 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/10*(448\/(-24))\/14\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1187 (base 9) to base 16\nAnswer: -379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136\/7 - 1210\/63. What is the second smallest value in -3, 0, r, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 42. Let n(g) = g**2 + 7*g + 6. Let h be n(-6). What is the closest to h in 1\/2, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = w - 309252, -2*w = -0*y - y + 61846. What is y rounded to the nearest one thousand?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:02 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 8*d + 2. Suppose l - 2*b = -2*l + 32, 2*l + b = 12. Let u be m(l). Suppose 2*g = 6*i - u*i - 54, 19 = 4*i + 5*g. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 16 + 4 = 0. Let q(a) = -2*a**2 + 2*a + 1. Let k be q(2). Let m be k\/(-2)*((-91)\/(-21) - 5). Sort g, -4, -3, m.\nAnswer: -4, -3, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/125156 and 19\/3269.\nAnswer: 876092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10074, -10239, -10396, -10545, -10686, -10819, -10944?\n\"Answer: 4*w**2 - 177*w - 9901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 430*r + 30104. Determine a(342).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - g - 5*g + 6*g - 2*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 3*s**2 - s - 1. Let g(n) = -3*n**3 - 15*n**2 - 5*n + 494. Calculate -g(x) + 5*i(x).\nAnswer: -2*x**3 - 499","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4101 (base 10) to base 7.\nAnswer: -14646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 0*w**3 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236094689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-98)\/(-735))\/(1\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 13*u**5\/15 - u**4\/12 + 59*u**3\/3 - 36*u**2. What is the first derivative of l(p) wrt p?\nAnswer: 104*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-16))\/((-3)\/(-8)). Suppose 3*t - 5 = 6*p - 11*p, 0 = 3*t - 15. Sort 4, -3, x, p.\nAnswer: x, -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*y - 0*y + 27, m - 4*y + 19 = 0. Does -8\/3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/11 (b) -2\/73 (c) 7 (d) -633 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - -4. Let u be (7\/14)\/(1\/z). Solve -w = -4*w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-25 + 7 - -24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 7 = d - 5*i, -10 = -2*d - 4*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (95\/25)\/(2\/10). Let d(v) = -v + 22. Let t be d(b). Suppose -5*i = 25, 0 = -t*m - 2*m + 5*i + 55. Solve 0 = -m*h + h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*o + 2410 = 0, r - 3617 = -2*r + 4*o. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-44)\/(-11))*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15)*12 + (-6 - -7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w - 76 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*s + 1227 + 1552. Which is smaller: 939 or s?\nAnswer: 939","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 150735841.\nAnswer: -5\/150735841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 10 = -4*n. Suppose -n*y + 5700 = -5*p, 4*p - 3*y = -y - 4568. Let m = 444 + p. What is m rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -604245?\nAnswer: 604300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975359 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 241 = -4*d + 246, -3*d = 3*q - 24. Let b(p) be the third derivative of 1\/6*p**q + 0 + 0*p - 12*p**2 - 1\/8*p**4. Give b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - 6) + 13 - (1 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -3) + -2 - -5. Let p(t) = -t**3 + 2*t**2 + 4*t - 1. What is the units digit of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43281, -86528, -129777, -173028, -216281?\nAnswer: -259536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4, -4*i + 3971 = i + 3*u. Let a = i + -384. What are the prime factors of a?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 23*z**5\/60 - z**3\/2 + 241*z**2 - 2. Let l(k) = k. What is a(l(g))?\nAnswer: 23*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139475898 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-22) + 1304\/88. Let r(k) = 165*k**3 - 2*k**2 + 2*k. Let q be r(1). Calculate the greatest common factor of q and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-39060)\/1218 - (-15930)\/290.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 85. What is the first derivative of 13 - 11*b**i + 29 + 82*b**4 - 84*b**4 wrt b?\nAnswer: -8*b**3 - 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -11*g - 1, -11 = 4*s - 3*g. What is the hundreds digit of 151 + s + 3 + (-5 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/h)**(3\/14)*(h*h*h*h*h*h**9*h)\/h**4 assuming h is positive.\nAnswer: h**(181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349624831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-20))\/(-1) - 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.3 - -6.5. What is the third smallest value in 0.5, k, -0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -352 - 9.6.\nAnswer: -361.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 6*u**2 + u. Let p(x) = -5*x**3 + 12*x**2 + x - 1. Let n(s) = -7*f(s) + 3*p(s). List the prime factors of n(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.42046 months to millennia.\nAnswer: 0.001701705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 161401354 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -102 - ((-4)\/(-6))\/(38\/(-57)). Let v = 161 + q. What is the lowest common multiple of v and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2553965 grams in tonnes?\nAnswer: 0.0000002553965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 799*m**2 + 288945*m - 2535057 = 0.\nAnswer: -1071, 9, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20687, 41519, 62359, 83207, 104063, 124927?\nAnswer: 145799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 244*m - 8610. What is n(30)?\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 65. Suppose l*k = 16*k + 68. Solve 3*o + o = k*f - 16, -5*f = -4*o - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120*g**2 - 2286*g - 799517.\nAnswer: -240*g - 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -78, -184, -320, -480, -658, -848, -1044?\n\"Answer: x**3 - 24*x**2 - 5*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2762*j + 11793*j + 6301*j - 405*j + 4343*j as p*j + l and give p.\nAnswer: 19270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:20 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - a + 233 = -3*a, -3*w + 721 = 5*a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 8*l - 12. Let j be q(-6). Suppose j = 10*v - 15*v + 5. Solve 0 = 2*s + 3 - v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -201692 + 688?\nAnswer: -201006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atdsbsld. What is prob of picking 1 d and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/5)\/u*u**(-3\/5))\/((((u\/(u\/(u*u\/(u\/(u*u**(-1\/7)\/u*u))*u)))\/u)\/u)\/(u*u\/(u\/u**(-6))))*(u\/(u**(-4\/9)\/u)*u**2)\/(u**1\/u)**(-23) assuming u is positive.\nAnswer: u**(-571\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 2. Let x(a) = -a. Determine r(g) - 4*x(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 - d + 14. Let p be i(0). Let l = p + -3. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -184751025, -184751026, -184751027, -184751028, -184751029?\n\"Answer: -h - 184751024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20381937 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 35*s - 210 = 0. Suppose 471 = l - 4*m, -l - 40*m + 481 = -s*m. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847437 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: Let c(m) = m - 9. Let t(h) = 1. Let i(d) = -c(d) + 4*t(d). What is the units digit of i(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -432*w**3 + 432*w**3 + 5*w**5 + (-2*w**2 + 0*w**2 + 4*w**2)*(9*w**3 + 11*w**3 - 10*w**3).\nAnswer: 25*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 2\/7, 35, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 156413 = -209442. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4*80\/15. Let c(i) = i + 13. Let q be c(g). Let a(l) = l - 6. Determine a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 - -2)) + -14 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 30 + 48 = 0. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230700690 divided by 19030\nAnswer: 12123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Let i(h) = 0 - 2 - 6*h - z. Let t(r) be the first derivative of -5*r**2\/2 - 2*r - 227. What is 4*i(j) - 5*t(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 25. Is m greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00306mg in nanograms?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 19 = 10*j + 11*j - 19*j, -3*j = 2*q - 33 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(209)\/(sqrt(11)*3).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + f = 5, 5*b + 2*f + 0 - 3 = 0. Let z(u) = u**2 - 1. Let s be z(b). Suppose 0 = -s*m - 5*m + 300. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**5\/2 + 15*l**4\/2 - 9*l**3 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 116 + 109 - 300 + 75 - 16071*b as h + t*b and give t.\nAnswer: -16071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = g + 272. Let f(t) = -118131*t**2 - 30*t + 57097*t**2 - 177636*t**2. Let s be f(g). Round s to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 287 and 286 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - -4) + (10 - -1) is divided by (-8)\/18 + (-2480)\/(-558)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 2:39 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49350 and 9?\nAnswer: 148050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26719071367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/33 and -58\/2169?\nAnswer: 23859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -21, -36, -55, -78?\n\"Answer: -2*g**2 - 5*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59.4 (b) 3 (c) 0.5 (d) 3\/16 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -107137864 divided by 25576?\nAnswer: -4189","meta":{"dup_signals":{},"source":"arithmetic__div_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: Find the common denominator of 113\/325550 and -43\/409810.\nAnswer: 34833850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2194 = 8927. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 10 - 10 - 59*z + 173*z.\nAnswer: 114*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 7\/20*s**5 + 61\/480*s**6 + 3\/8*s**4 - 57*s**2 + 0*s + 1\/60*s**7 + 0*s**3 + 0 + 1\/1344*s**8. Factor h(k).\nAnswer: k*(k + 1)**2*(k + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16*x**3 + 2*x**2 + 1. Calculate the remainder when 94 is divided by w(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 + -2 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(((-67)\/(-34) + -2)\/4). What is t rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -102, 4, 1, 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 3*x**2 + x. Let a(q) = q. Let d(j) = j. Suppose -6*y + 7 = 1. Let s(t) = y*a(t) + d(t). Give s(r(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 0.42, 0.3 in descending order.\nAnswer: 5, 0.42, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2805712 - 0.4365?\nAnswer: -2805712.4365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:26 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -16 + 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3\/2 + 44946*v**2 + 718698*v - 1617192 = 0. What is v?\nAnswer: -29948, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344\/67 <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w - 4. Let h(c) = 8*c - 2. Let r be (-11)\/2*(-20 + 12). Suppose 8*p - 12*p = -r. Give p*h(a) - 6*g(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 117*-0.35\nAnswer: -40.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6689?\nAnswer: 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-497)\/(-11) - (-10)\/(-55). Let p be 42\/i - (-2)\/5. Does p = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 201*a + a**3 - 401*a + 200*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 18*p + 32. Suppose -p*x = 20, -x + 3*x - 1 = -k. Calculate the remainder when 53 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.3, -5, 0.4, -17 in decreasing order.\nAnswer: 0.4, 0.3, 0.1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -271404704, -271404703, -271404702?\n\"Answer: t - 271404705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223 - -1895. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35, 205, 445, 685, 925, 1165?\n\"Answer: 240*d - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/11*i**2 + 0 + 6\/11*i**3 - 72\/11*i.\nAnswer: 6*i*(i - 2)*(i + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075 times 0.30611?\nAnswer: -329.06825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 479, 482, 477, 458, 419, 354?\n\"Answer: -t**3 + 2*t**2 + 4*t + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 57 = -4*x, -2*u + 45 = -5*x + 3*u. Let z be -9 - x - 1751572*-2. Let s = 10903147 - z. What is s rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 + n**2 - 4*n - n - 1 + 2*n. Suppose -4*h - 11 = -3. Is a(h) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 4)*-1 - -59. What is the common denominator of 1\/o - (-28)\/154 and 27\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 34. Let n(z) = -11*z - 215. Let p be n(-18). Give x(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.57 - 2.5. Let p = o - 0.47. Which is the second smallest value? (a) -0.3 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 3*j - 6*j - 228 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(sqrt(77)\/sqrt(343) - (-5 + -3*sqrt(11)))**2.\nAnswer: -130980\/49 - 4400*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let w(c) = -2*c**3 + c**2 - 3*c + 3. Let g be w(2). Let q be (1\/(-3))\/(k\/g). Solve 5*s - q = -0*a + 3*a, 2*a - 3 = -3*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 53 (c) -0.4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14114 - -2200152?\nAnswer: 2142034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5440.1089 from -393521.\nAnswer: -398961.1089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.071 times 35.7\nAnswer: -2.5347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14750*c + 29485. What is u(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 351492000 to the nearest one million.\nAnswer: 351000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 248, 252, 276, 326, 408?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1.51.\nAnswer: -7.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*2*(-1)\/4. What is the derivative of -d - 6*h + 6*h + 9*h**2 - 2 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 256*m - 588. Is 13 a factor of h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -16) + 20\/6*2144\/(-480).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**3\/6 - b**2 - 8*b - 284. Let f(z) = 2*z + 2. Give 5*f(c) + 6*q(c).\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 4*f. Let g = f - 1. Suppose -g*l - 3*n = -8*n - 28, -l + 4*n + 21 = 0. Solve 0 = s - 1 - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q**3 - 13*q**2 - 11*q - 5. What is the hundreds digit of p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1011011111?\nAnswer: 1011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*h**3*w - 7*h**2 + 180*h*w wrt h.\nAnswer: 198*h*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025614779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 659418145*m**2. Let l(o) = 2*o**2. Give l(y(k)).\nAnswer: 869664579910482050*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1870, 3, 5, 9, -2300 in decreasing order.\nAnswer: 1870, 9, 5, 3, -3, -2300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 497911361*r**3 + 2*r**2 - 250202301*r - 1?\nAnswer: 2987468166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(1216) + sqrt(1216) + (sqrt(1216) - (0 + sqrt(1216))) + 3) - (3*sqrt(1216)*-1 + -2 + -1))**2.\nAnswer: 43344*sqrt(19) + 2252353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 5, x: 1, s: 7, p: 4, b: 1}. What is prob of sequence cxp?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(21)*-1)\/(sqrt(7) - sqrt(56)\/(sqrt(8)*-2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1716 and 335049.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -150, -148, -146?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(-3\/4)*j*j*j*j*j**(1\/6)\/j*j*((j\/((j\/(j**(17\/4)*j*j))\/j*j))\/j)\/(j*j\/(j\/((j*(j*j\/((j*j**9\/j)\/j))\/j*j)\/j))) assuming j is positive.\nAnswer: j**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 141 + -157?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13.529521909038 + -0.2\nAnswer: 13.329521909038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-60) + (-16)\/(-5). Put 0, 1, y in descending order.\nAnswer: y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -377, -388, -411, -452, -517?\n\"Answer: -h**3 - 4*h - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/72 and -19\/14.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 8*q**2 + 6*q - 2*q**3 + 239807 - 239793. Suppose 2*u + 6 = u. List the prime factors of j(u).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 3*(-13)\/3. Let h = 111\/14 + -52\/7. Which is the nearest to h? (a) 0.04 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(9 - (5 + -8)))\/((1014\/(-72))\/13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put 9, -7, 82, 2 in descending order.\nAnswer: 82, 9, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-18))\/(4\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17914698 is divided by 2283?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -226?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/6 - 76*f**2 + f\/6 + 76.\nAnswer: -(f - 1)*(f + 1)*(f + 456)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/9 - 11701594*x\/9 = 0.\nAnswer: 0, 5850797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116.42 in -3\/7, 0, 1\/2, -0.13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/36*1\/(-9))\/(((-8277)\/(-2790))\/89)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4248 is divided by 1059?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q**5 - 741*q**4 - 3423*q**3 - 2619*q**2 + 5184*q + 1620 = 0. What is q?\nAnswer: -30, -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/115227, -36\/11?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 10*a - 2. Let o be s(-8). Let n = -10 + o. Suppose -2*d = -2*h + d + 18, -n*h + 30 = -3*d. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -3*s + 8*q + 6, 5*s = 4*q + 10. What is the tens digit of (405\/30)\/(s\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*k + 2*y + 133027 = 340*k, 2*y + 88684 = 2*k. What are the prime factors of k?\nAnswer: 3, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2)**(26\/7))**22*(m\/m**(1\/3))**(3\/11)\/(m\/((m\/(m*(m*m\/(m*m**(-3\/7)\/m))\/m))\/m)*m\/(((m*(m*m**(-2\/7))\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(18450\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1910014446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/100)\/(3\/12). Let s(g) = g**2 - g. Let o(b) = 10*b**2 - 4*b. Calculate h*o(z) - 8*s(z).\nAnswer: 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - i. Let c be ((216\/(-64))\/9)\/((-5 + -3)\/64). Give y(c).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, t: 4, w: 4}. Give prob of sequence fwwf.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 98.03929 nanoseconds?\nAnswer: 0.00000009803929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 2. Let g(y) = -y + 2. Let r(j) = g(j) - v(j). Let q(m) = 44*m**2. Determine q(r(c)).\nAnswer: 176*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -15 (c) 1955 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 11:04 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704*c - 1408*c + 704*c + 19132*c**3.\nAnswer: 19132*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -992, -2001, -3026, -4073, -5148, -6257, -7406, -8601?\nAnswer: -9848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211201001210011 - -221?\nAnswer: -211201001202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 817, 2739, 6469, 12607, 21753, 34507?\nAnswer: 51469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (1 - 0 - 16). Suppose h*f - 17*f = -12. Find the second derivative of f*v**3 - 8*v**3 + 2*v - 15*v**3 wrt v.\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118.47 + 119. Let s = -0.03 + v. Let d = s - 0.8. Is d > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/15*(-117)\/(-91).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -m + 22, 3*m + 21 = 3*z - 3. Solve 0 = z*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (1 - -7)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {y: 1, x: 1, l: 2, m: 3, g: 3}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 10. Let c be y(-8). Suppose 5*m = f - 13, c*m + 16 = -6*f + f. Let s be 3\/f - (-11)\/2. Solve 0 = 3*d - 7*d - 2*h + 20, -3*d - s*h + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 27*z + 12. Let p be s(14). Let g be -28*(-6)\/60 + p\/(-10). Put -1, 15, g in decreasing order.\nAnswer: 15, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732639043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-265)\/106)\/(10\/12). Let r(c) be the second derivative of 3*c + 14\/3*c**m + 0*c**2 + 0. Let g(w) = -2*w**2. What is r(g(k))?\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by -44?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 134 = 2*p, -p - 27 = -5*c - 72. Calculate the remainder when p is divided by 3 - 90\/(9\/(-3)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a*a**(-20)*a*a*a*a**(-3\/26)\/a*(a*a*((a*a**(-2\/73))\/a)\/a)\/a*a)**(-46) assuming a is positive.\nAnswer: a**(1605837\/1898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(sqrt(3) + sqrt(3)*1)**2 - ((-5*(-1 + sqrt(3) + sqrt(3)) + sqrt(3))**2 + sqrt(3))) + -5.\nAnswer: -356*sqrt(3) + 1355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - z)*(-1 + 3 + 5)*(0 - 4 - 1).\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269 or -273?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153720672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r. Let t = -4 + 7. Suppose t*b + b = r. Solve b*f - 1 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u - 21*u + 2320 = 73*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8652 by -1442.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 0, 0 = -3*j - l - 3*l + 363. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*t = r - r, 0 = -3*t. Solve 0 = -4*m - 3*u - 9, 5*m + 6*u - 8*u - 6 = r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (31*j**2 + 457 - 904 + 453)*(1 + j**2 + j - j) in the form a*j**3 + g*j + b*j**4 + c*j**2 + t and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277256*i + 554512*i - 277258*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Let n = -0.3 + -0.2. Which is the third smallest value? (a) n (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-2 - 5) + 2 + 1 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109 and 38041?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o + 0*o**7 - 3*o**2 + 0*o**6 + 1\/84*o**8 + 0*o**5 - 1\/12*o**4 + 0 + 0*o**3. What is the second derivative of b(d) wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p - 2. Let a be d(1). Suppose -z - 4*z + 884 = 4*g, 3*z - 660 = -a*g. Suppose -3*k + 34 + 47 = 0. What is the highest common divisor of k and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 0.1399, 1\/10 in decreasing order.\nAnswer: 2, 0.1399, 1\/10, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -644, -4167, -10038, -18257, -28824, -41739, -57002?\n\"Answer: -1174*s**2 - s + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526*t**4 + 497*t**2 + 4 wrt t.\nAnswer: 12624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202112021 - 11?\nAnswer: -11202112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124382.\nAnswer: 2, 62191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**5\/270 + n**4\/54 - 35*n**3\/27 - n**2 + 211. Factor s(q).\nAnswer: 2*(q - 5)*(q + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068899 take away 20696?\nAnswer: 1048203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/14*2\/(-20)*(-64)\/(-16).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/12 + c**3 - 5*c**2\/2 - c. Suppose -3 = 3*f - 15. What is the units digit of u(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*r - 646 = 780 + 1742. Calculate the remainder when 1662 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + i - 8 + 16 = 0, i = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 19*g**2 - 7*g - 20. Determine r(-19).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*m**2 + 85*m**2 - 333*m**2)*(-3 + 2*m**2 + 3 + (-2*m + 15*m + 3*m)*(-m + 6*m - 3*m)).\nAnswer: -9996*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117, 116, 115, 114, 113?\n\"Answer: -x + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*n + 34. Suppose w - 5*h = 24, 3*h - n = -w + 4*h. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (-28 + 9 - -4 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -17.94. Put -3, y, -0.4 in decreasing order.\nAnswer: y, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1\/5, 1, -0.23, -5 in decreasing order.\nAnswer: 1, 1\/5, -2\/11, -0.23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/20)\/((-9)\/(-15)) - 3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72707.2 * -0.4.\nAnswer: 29082.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6ac96c - 5?\nAnswer: -6ac974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1327*d - 1348. Let j be f(-20). Round j to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwnnwnnnsssnwsnnsq. Give prob of picking 1 w, 1 q, and 2 n.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + 33?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (-8 - -5)) + (-5 - (3 + -2)) - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1455, -1347, -1239, -1131?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3097?\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:52 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 17. Suppose 3*w + 21 = w + 3*d, w - 4*d + 18 = 0. Suppose -199 = -7*k - 80. Let g(l) = 6. What is k*g(b) + w*i(b)?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 84*s**2 + 85*s. Calculate r(-85).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*m - 23*m + 6*m)*(m - 4*m + m) - 3*m**2 + 0*m**2 + 2*m**2)*(-2 + 1 + 3).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*q - 217 = -252, 24*n - q + 268 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-768)\/(-72) - (-1 - (-2)\/3). Suppose 0 = -12*f + v*f + 14. Suppose 0*j - f*j - 56 = 0. Let i(a) = a. Give i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + y**5 + y**5 + 0*y**2 + (3*y - 3*y - y)*(-2*y**4 - 2*y + 2*y).\nAnswer: 4*y**5 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w - 3. Let z(i) = 9*i - 6. Let a(c) = c**2 - 33*c - 63. Let o be a(35). Let t(n) = o*f(n) - 4*z(n). Give t(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(2448) - sqrt(2448)) + sqrt(2448))*6 + sqrt(2448)*-2 + -3)**2 - (sqrt(68) + (sqrt(68) + (sqrt(68) - -2*sqrt(68)))*6)\/sqrt(4)*-4.\nAnswer: 676*sqrt(17) + 156681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 3*r**3 + 0*r**3)*(2 - 4 + 0) + 1 - 1 - r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -27466082 to the nearest 100000.\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 4. Suppose -n + v + 4 = -4, 3*n + 3*v - 12 = 0. Suppose -h = 2*h - 36. Let c be (2\/n)\/(1\/h). Determine r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.897 * 127.\nAnswer: -113.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*1*(-990)\/(-55)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*h = -100 - 210, -3*a - h = -186. What is the lowest common multiple of 18 and a?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/2, -3\/42620, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 3 - (-16906)\/1284\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*a - a + 18 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 77863.85ug?\nAnswer: 0.00007786385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62772, -73995, -85218?\n\"Answer: -11223*x - 51549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*f - 8*f + 570, 0 = 2*s + 2*f - 558. Suppose 5*j - 5480 - s = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -587.2 - -590.2. What is the closest to 2\/5 in -0.2, 61, -1\/8, c?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -109. Let a be (-2)\/6 - 2855998\/m. What is a rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 + -19 + 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 h when four letters picked without replacement from hhhhhhhhhhhghhhhhhg.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13527)\/(-1002))\/(1\/((-2)\/(-1))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 484a?\nAnswer: -4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/3 (b) -2 (c) -1\/3 (d) -3\/52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(((sqrt(1008) + 5)*4 + sqrt(1008)*3 + -1)*5)**2.\nAnswer: -4975300 - 319200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -586, -869, -1134, -1375, -1586?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a**5\/7 - 292*a**4\/7 - 1648*a**3\/7 + 176*a**2 = 0 for a.\nAnswer: -14, -11, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-31 - (-45 - -30))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 62*i**2 + 13*i**2 + i**3 - 6*i.\nAnswer: i**3 - 49*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**2 - 8 - 1563*f + 775*f + 779*f - 7*f**2. Let o be z(-4). What is the highest common factor of 100 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Let u = g - -1. Determine y so that y**2 + y**u - 2*y**4 + y**3 - y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Suppose 2*i + 5*w = -57 - 84, 4*w - 270 = 5*i. Let t = 62 + i. Which is the closest to j? (a) 0.4 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2127.489 times -220\nAnswer: 468047.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-43 + 27 - (2 - (14 - 3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 + 105*x - 108 = 0.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7)**37 assuming v is positive.\nAnswer: v**259","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -255642*p**4 + 111885?\nAnswer: -1022568*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*b + 1. Let p = 1 + b. Suppose -8 = -2*h - p*h. Let n(g) = g**2 - 4*g + 2. Give n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 12 - 10. Does 29 divide w\/1*1080\/9 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3314495*z**2 + 3314497*z**2 + 3*z**4 + 10*z + z**3 - 2 - 2*z**4 to b*z**3 + i + n*z + m*z**2 + c*z**4 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 0.178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-3) - -4) + -127. Let d = v + 123. Let h(w) be the first derivative of -3*w**2 - w - 1. Give h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46855526 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjms. What is prob of picking 1 s and 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 - -188. Put -5, l, -1 in descending order.\nAnswer: -1, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**4 + r**5 + 1577*r**2 - 1482*r**2 - 6*r**4 + 727*r + 256*r wrt r.\nAnswer: 20*r**3 + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, v: 5, j: 3}. Give prob of sequence vv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:21 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 2\/11 (c) -0.1 (d) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + t = 18, 0 = -t + 1 + 1. Let o(d) = -5*d - 32. Let g be o(b). What is the third derivative of -3*q**5 + 6*q**5 - g*q**5 + 5*q**2 wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11383?\nAnswer: 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2718 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253 (base 6) in base 2?\nAnswer: 1000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 391424 greater than 391426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i + 8. Let f(v) = -v + 1. Let u(y) = 6*f(y) + l(y). Let w be u(-6). Solve w = d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.114 * 5168\nAnswer: 41933.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -4 + 5 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhic when four letters picked without replacement from chxzuchi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, -31, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Suppose 4*j + 8 + 4 = 0, m - 42 = 2*j. Let d(p) = 37*p + 11*p**2 + m*p - 73*p. Give t(d(y)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8377?\nAnswer: 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12))\/((-1)\/2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -809 + 817. Solve 0 = j*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -27*k - 545 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8613 = 253*f + 561*f - 4411 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.29 + 1.5. Let k = -12.79 - m. Let h = k - -12.7. What is the closest to 0 in -2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 1. Let g be p(2). Let v(d) = -4*d. Suppose 3*z = 4*n - 0*z + 18, 0 = -2*n - 3*z - 18. Let u(x) = -x. Give g*v(i) + n*u(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-4)\/54 + (-58)\/(-18). Sort 4, h, -6.\nAnswer: -6, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 + 457 = -5*r. Solve o + r*c + 7 = 0, c = 2*o - 11 + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-12)\/(-270))\/((-20)\/(-45)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:33 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764 is divided by 466?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.113 or -1047.2?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 327*p - 111*p - 112*p - 108*p. Let h(i) = -6*i + 6. Let n(m) = 12*m - 13. Let c(d) = -9*h(d) - 4*n(d). Determine c(k(j)).\nAnswer: -24*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i**2 - i. Let h be n(-1). Let u be (h\/(-5))\/((-2)\/10). What is the units digit of -2*(u\/(-6) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*v - 5 = 2*v, 0 = f + 5*v + 5. Let x be (6 - 2) + -4 - f. Solve x = -0*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 21 - 14 + 5*v to i + u*v and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -fcf (base 16) in base 10?\nAnswer: -4047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**2 + 1\/12*f**4 + 0 - 1\/3*f**3 + 2*f. Let y be (-1 + -2)*2\/(-3). Calculate u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 10 + -47 - -13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*k**2 + 12*f**2*s + f**2 + 148*f*k**2*s + 2*f*k wrt k?\nAnswer: 2*f**2*k + 296*f*k*s + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 22 - 9 = -4*f, 4*f - 17 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 541663 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w**1\/w)\/w)))\/(w**(3\/2)*w*w)*w**7*(w**(-15)\/w)\/w assuming w is positive.\nAnswer: w**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5198459 take away -4093?\nAnswer: -5194366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/55)\/(1554\/(-185)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5, u + 9109 = m - 5*m. What is the tens digit of m\/(-12) + 1 + (-12)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*x - 3*x + 2*x)*(0*x**2 + x**2 + 0*x**2) - 1536*x**3 - 443*x**3 + 207*x**3)*(3*x + 3*x - x) as i*x**4 + z*x**3 + m*x**2 + v*x + c and give i.\nAnswer: -8865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u + 37. Let l = u - 22. Let o = -10 + l. Solve 0 = o*x - 2 - 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 61145?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d\/d**(-4\/7))))\/d)\/d*d*d**(-2\/7))**(-17\/3)*d**2\/(d**(1\/5)\/d*d)*d**(-3)*d\/((d\/((d*d\/(d**(-6\/5)*d*d*d)*d)\/d))\/d) assuming d is positive.\nAnswer: d**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1241 + -24?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.997 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2314)\/(-267))\/((-65)\/(-120))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79.33 + -81.33. Which is the closest to d? (a) 58 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 517, 1702, 3983, 7726, 13297, 21062?\n\"Answer: 61*a**3 - a**2 + 31*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80728, -161325, -241922, -322519?\n\"Answer: -80597*m - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 1. Let f be s(1). Suppose 16 = 2*x - f*x - 4*k, 0 = -3*x - 3*k + 42. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 21*i**2 + i - 2. What is the remainder when 37 is divided by p(21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.829*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + sqrt(3))*4 + (-1*sqrt(1089))\/sqrt(3) - (-3*1*sqrt(27) - (sqrt(216) - (sqrt(216) + (2*sqrt(216) - sqrt(216))))\/sqrt(2)))**2.\nAnswer: -160*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-11\/4))*z)\/(z**(-3\/8)*z*z)*(z**(-3\/11))**(-18) assuming z is positive.\nAnswer: z**(619\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - k + 0*k + (2 + 2*k - 2)*(-1 - 1 + 3) + k + 2*k + 0*k)*(3*k - 2*k + 4*k) to s*k**2 + w + b*k and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59623\/6 - 9960. Let j be (2 - (-609)\/(-303))*-13. Let f = 4741\/1616 + j. Find the common denominator of f and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 16 = z - 3*a, -z - a + 34 = 0. Suppose z = 2*l - 11. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 12*k**2 - 29*k - 14. Let s = 424 - 433. Let i be g(s). Solve r - 1 = -3*u, 3*r - 2*u - 3 = -i*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-10)\/(-15) - 36. Let c = -34 - a. Suppose 2*q - 2*v + 7 = -q, -2*v + 12 = -c*q. What is the biggest value in -3\/4, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:03 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(171) - (sqrt(171) + -3)))**2 + sqrt(228)\/(2*sqrt(12)) + 4.\nAnswer: sqrt(19)\/2 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) 6.1 (b) 333\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 1343*j - 8 = 1340*j, 0 = -4*f + 3*j - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48300 and 12215?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7648, -5, -2.09 in descending order.\nAnswer: 7648, -2.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 133746 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/10 - 1)\/((-6)\/(-10)). What is the fourth biggest value in f, 0.3, -2\/7, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 14. Let v = -5866 - -5869. Put 0.4, 5, v, r in decreasing order.\nAnswer: 5, v, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = 2*d, 0 = -0*d + 3*d + 5*k - 30. Solve 5 = -4*f + 5*a + d, 4*a + 35 = -3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o + 6085 = -48*o. Suppose 0 = 5*l + 3*n + 1530, -4*l + 0*n = n + o. List the prime factors of (l\/6)\/((-4)\/(-16)*-2).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose -f*y + 15 = -0*y. Suppose -t = y*l - 23, -t + l = -5*t + 16. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/5 - (-243)\/90. Which is the smallest value? (a) -4\/13 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/9*(-42)\/112.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2fa + 5?\nAnswer: -2f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 41. Let f(a) = 5*a + 84. Give 4*f(m) + 9*w(m).\nAnswer: 2*m - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -391982 and -391951 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*h - 62. Let r = 36 - h. Suppose -c - r = -2*c. What is the highest common divisor of c and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48258803089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223063.2 rounded to the nearest 1000?\nAnswer: -1223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84) + ((sqrt(84) - (-2*sqrt(84) + sqrt(84) - sqrt(84))) + sqrt(84) - sqrt(84)) - sqrt(84)))\/((sqrt(36)*-3 + sqrt(36))\/sqrt(3)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26256.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 - -2) + (13 + -29 - -4) + -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1963230 and 16430?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 308*v - 310*v + 22 = 0, 7*o - 86 = -4*v for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.59, -0.08?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -337*h**7\/14 - 221*h**3\/3 - 115*h - 4. Find the second derivative of p(m) wrt m.\nAnswer: -20220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27682 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 plus -2.156?\nAnswer: 54.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -796*l**3 - 14*l + 21?\nAnswer: -4776*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12.2437mg?\nAnswer: 0.0000122437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614 by -4.\nAnswer: -307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2056 = 84*y + 32*y - 548 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)\/((-8)\/(-16)). Suppose 4*i = 2 + v. Let f(t) = -11*t + 1. Calculate f(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttcltttttc. What is prob of picking 1 c and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-195)\/6*48\/(-30). Let w = -51 - f. Let l = -64 - w. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 37, 21, 5, -11, -27?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58182*i**6 + 2*i**3 + 2271130*i**2?\nAnswer: -6981840*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0362 + -57.9638. Let n = b - -42. Sort -2\/9, n, -0.4.\nAnswer: n, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Let t = -239 - -239. Is t at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1125 and 12.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*s + 5, 0*a + 4*a - 23 = 5*s. Calculate the remainder when 6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93844997 and 634?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 8*p**2 + 0 - 7*p**2 + 10. Let s(d) = 5*d + 2. Calculate -6*g(n) + 2*s(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86.08497 - -0.60903. What is i rounded to zero dps?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2515*o**2 + 5028*o**2 - 2538*o**2)*(-4*o + 3*o + 3*o) to b*o + n*o**2 + x*o**3 + c and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u + 2. Let c(h) = -15*h. Let i(l) = 5*c(l) - 6*x(l). Is 4 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -360391?\nAnswer: 11\/360391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18858 and 2023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39152, 78407, 117648, 156869, 196064, 235227, 274352?\nAnswer: 313433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*a - 7*a - 31 = 0, r = 4*a + 19. Solve -g + 2*k = -r, -30 = -8*g + 3*g - 5*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*3)\/(sqrt(24)\/(sqrt(30)\/sqrt(5))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96.9 - -107. Let h = -10 + u. Let j = -237 - -234. What is the biggest value in h, -1, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 4*w**2 + 2*w - 4. Let y be g(3). Let x(h) = -11*h - 13. Is x(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2946575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/(660\/(-704)))\/((2592\/(-1260))\/(-18)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/5 + 4*z**2\/5 + z\/5 - 4\/5 = 0 for z.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2979 - -1440. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -3. Suppose 0 = -5*v + 6*v - 4. What are the prime factors of 3\/(v*i\/(-112))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -550454\/53847 + 2\/5983. Let p = 10 + k. What is the biggest value in -1.9, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11048 and 10.\nAnswer: 55240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13299735 and 6.635041?\nAnswer: 13299728.364959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)\/(-25 + 36).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 - -333. Let n be (0 - t\/16)*-4. Let f be 10\/95 + (-3198)\/n. What is f rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -520 - 4248. Let v = 1157 + o. Suppose -2*s + 3*s = -36. Is s at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(480) + sqrt(480)*-1)\/sqrt(12))\/(sqrt(8) + sqrt(8) + (sqrt(128) - sqrt(8)) + sqrt(8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22850856 by -126.\nAnswer: 181356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33725, 51898, 82187, 124592, 179113, 245750, 324503?\nAnswer: 415372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -12 - 4) + 24 + -38\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/271476 and 149\/4162632.\nAnswer: 12487896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 21*r + 33. Calculate w(23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6 + 3*x**2 - 1 + 5 - 5*x + 1. Let s(a) = a**2 - 1. Let t(z) = -k(z) + 4*s(z). What is t(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b + 0*b + 34*b + (-5 + 2 + 0)*(b + 0*b + 0*b) + 2*b + 1 - 1)*(0*b - 4*b + 3*b) to the form x + m*b + p*b**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -185*245\/(-7553) + 2 + -8. Is r at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -245, -465, -655, -815?\n\"Answer: 15*d**2 - 265*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 + 1)*(-3628)\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 - 5*d - 13. Let m(i) = i**3 + i**2 + 3*i + 7. Let h = -691 - -688. Determine h*y(c) - 5*m(c).\nAnswer: -2*c**3 + c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -485*k**2 + 479*k**2 + 4*k - k - 14 + k**3. What is y(4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1202 - 1203 + 2405 + 261*h - 19*h.\nAnswer: 242*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4 = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -0.4, 4, -4\/7, -19.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7.09. Let k = h + -0.31. Which is the smallest value? (a) 3\/11 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**3 + 676*h**2 + 3350*h - 3861. Calculate l(-130).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 0, 3*x = -12*f + 9*f + 240. Calculate the highest common divisor of 60 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*h**2 + 8\/13 - 8\/13*h.\nAnswer: 2*(h - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4)*(0 + 0 - 2*j)*(-1 - 4 + 3).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20085, 78955, 176609, 313047, 488269, 702275?\n\"Answer: 19392*a**2 + 694*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/20) + 0. Suppose 5*c = 3*c + u. Let m = c + -5. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191756*d**2 + 641610*d?\nAnswer: 383512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/21, 0.56, -2?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 667 = 3672. Calculate the remainder when y is divided by 269.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from araraarrrr. What is prob of picking 4 a?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1056?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**2\/2 - 2*q + 2. Let h be n(5). Find the third derivative of h - 2*t**4 + t**2 - 3 wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -128621*q - 3601384. Determine d(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let n(x) = -x**3 - x**2. Let p be n(q). Suppose 120 = 5*j - p. What is the remainder when 46 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696245 less than -0.3?\nAnswer: -696245.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let s(u) = -59*u - 66. Let f(g) = 2*q(g) - s(g). Differentiate f(r) wrt r.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(((-3060)\/(-238) - (-5)\/35) + -9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36472 - 2121*f**2 + 36472 - 278*f**2 to the form w*f + l + s*f**2 and give s.\nAnswer: -2399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**2 - 33*f + 89. Let y be b(-6). Let p(m) = -m - 7*m**2 + 36*m**3 - m**2 + 5*m**2 + m**2. Determine p(y).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11374*v - 17504586. What is a(-1539)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401448215 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 26*p**2 + 24*p + 69. What is the remainder when q(-25) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6601*l + 23506 = 6674*l. Solve 317*k = l*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 3*v**3 + 0*v + (-316 - 328 + 560)*(-4*v**3 + 4*v**3 + 3*v**3) to k + f*v**3 + s*v**2 + q*v and give f.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.78039 millilitres in litres?\nAnswer: 0.01878039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125773499 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3788 and 114.\nAnswer: 215916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600) - (-2*sqrt(3600)*1 + sqrt(3600) - sqrt(3600)))\/(sqrt(1728)*1*-5).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19485 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 335616 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-18)*-5 - (-1)\/(-1). What is the closest to -0.1 in t, -4\/7, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -2 - (1 + -2). What is the third derivative of -m**2 - m**3 - 2*m**n + 2*m**2 - m**3 wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - 25638?\nAnswer: -25706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1551627 and 1551633 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - 301\/2. Put 4, f, -3, -0.13 in ascending order.\nAnswer: -3, -0.13, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/4)\/(2\/(-4)). Let g be (-18)\/d - 3 - 65\/25. Let p be (0 + 2)*(0 + 5\/(-2)). Put p, -0.15, g in decreasing order.\nAnswer: -0.15, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/15*3\/2. Suppose 5 = 2*o - 5. Sort 0, f, o in increasing order.\nAnswer: 0, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/448 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 3*q + 57 - 8, -j + 4*q = 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 1, c: 1, d: 1, l: 1}. What is prob of sequence ld?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38233975.54147 - -0.4\nAnswer: -38233975.14147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (0 - 2))*3. Suppose b - j*c + 10 = -0*c, 22 = b + 5*c. Let q be 2*5\/b*-1. Put q, 3, 0 in descending order.\nAnswer: 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156359.4ml in litres?\nAnswer: 156.3594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/22 and -17\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**6 + 5\/3*v**3 + 0*v - 1\/35*v**7 + 11*v**2 + 0*v**4 + 0*v**5 + 0. Find the first derivative of d(s) wrt s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6.3, -5, 106.3?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 4*c - c)*(0 + 0 - 2*c + 0 + 0 - c + (2*c - 3 + 3)*(0 - 4 + 2) + 4 - 4 - c - 1 - 2*c + 1 + 0 + 0 - 2*c)*(-39*c**2 + 12*c**2 + 3*c**2).\nAnswer: 1152*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 3, m: 2, o: 1}. What is prob of sequence aao?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 less than -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 12*w**2 - 8*w - 11. Let p be h(10). Let u = 14 + p. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**2 + 196*a + 96. What is l(25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let p be (-6)\/5*(-1080)\/12. Let c(a) = 108 - 3*a - p. Determine c(d(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Suppose -k = 4*m - f + 2, 0 = 5*m + 5*f - 15. Find the third derivative of -d**2 + 2*d**4 - 3*d**2 + 0*d**4 + m*d**2 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 3, s: 1, v: 6, k: 3, b: 4}. What is prob of sequence fbq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9074*u - 20557133. Let r(q) = q**2 + 6*q + 23. Let c(f) = -3*r(f) + 3*w(f). Factor c(n).\nAnswer: -3*(n - 4534)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 27 = -3*z. Suppose -2*a = 3*q - 5*q, -5*a - 3*q = z. Let c = 1.8 - 2. Do c and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -13. Suppose -5*r + 22 = 3*d, -2*r + 4*r - 24 = -5*d. Let y(i) = -i**3 + 11*i**2 + 6*i**2 + d - 6*i - 11*i**2. Calculate y(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (-3 - 4) + (-4 - -7). Let i(n) be the third derivative of 1\/48*n**m + 0*n**3 + 0 + n**2 + 0*n + 1\/120*n**5. Factor i(s).\nAnswer: s*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266779110 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(w**5 + 3*w**5 + 2*w**5)*(5 - 1 + 12).\nAnswer: -96*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.44344 decades in millennia?\nAnswer: 0.9944344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 3*p**2 + p - 1. Let n(z) = 2*z**3 - 4*z**2 + z. Determine -4*b(u) + 3*n(u).\nAnswer: -2*u**3 - u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22156, 88509, 199056, 353797, 552732, 795861?\n\"Answer: 22097*y**2 + 62*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/3 + 29*f**3\/6 - 21*f**2\/2 + 23*f\/3 - 4\/3 = 0.\nAnswer: 1\/4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*z - z**2 - 1122*z + 476*z + 462*z.\nAnswer: -z**2 + 163*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/(13\/(-585)). Suppose 0*y + a = -2*y. Let l(t) = t**3 + 10*t**2 + 4*t + 16. What are the prime factors of l(y)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*z - 3, -2*u - 79 - 221 - 198 = 140*z + 348 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15031.021 rounded to the nearest 10?\nAnswer: 15030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3511973 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176700*d**5 + 411*d**2 - 136.\nAnswer: 10602000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 4.1. Let j(a) = -a**3 - 7*a**2 + a - 3. Let n be j(-7). Let m = n - -17\/2. Sort -5, m, f.\nAnswer: -5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-820)\/(-25) + 3\/15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -117 and -16?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 5*c + 18, c = -3*u - 3*c + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -334305, -334319, -334333, -334347, -334361?\n\"Answer: -14*f - 334291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**3 - 5*y**2 + 10*y + 36. Calculate m(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -26, -48, -84, -140, -222, -336, -488?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78.195 - -0.195. Let q = 73.7 + l. Let p = q - -1.3. Which is the second biggest value? (a) -2\/13 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 6*s - 58 + 13*s + 5*s**2.\nAnswer: 5*s**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4481*m - 13*m**2 - 179*m**4 + 5*m**2 + 3*m**2 + 243*m**4 wrt m?\nAnswer: 768*m**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 93132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.24619 and -0.5?\nAnswer: 5.623095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k\/k**(13\/5)*k)*k)**(3\/4))**(2\/79))**(1\/24) assuming k is positive.\nAnswer: k**(9\/3160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1265)\/1771*9\/(-15)*8\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 212*b**2 + 2897*b + 11444. Calculate c(197).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v - 4*b = 44, 2*b + 42 = 3*v + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 9) in base 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*h = 5, 4*h + 0 = -5*g + 10. Suppose -j + 8 = g. What is the third derivative of 35*w**4 + 8*w**4 - 39*w**j - 5*w**4 wrt w?\nAnswer: 912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 c when three letters picked without replacement from {f: 5, c: 11}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -1\/7, 0.153, -1.342, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(32*s - 54*s + 10*s**2 + 14*s).\nAnswer: -40*s**2 + 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170\/4 - (-5)\/(-10) and 77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 38*p + 176. Let r be f(34). Suppose 32 = -m - 2*c - 3*c, -5*m - c - r = 0. Which is smaller: m or 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.109 + -0.072. Let v = w + -0.017. Sort -2\/3, 0.3, v.\nAnswer: -2\/3, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 + 20*w + 2. Let a(n) = -2*n**2 - 20*n - 2. What is -4*a(m) - 3*t(m)?\nAnswer: -m**2 + 20*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 47. Calculate the greatest common factor of 425 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0 + 4 + -2)**2 + -1.\nAnswer: 32*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**2. Let d(a) = -a**2 - 520. Calculate n(d(r)).\nAnswer: 6*r**4 + 6240*r**2 + 1622400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 307. Let i be b(23). Let h = -309 - i. Does h = -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 361*o**5\/6 - 2203*o**4\/6 + 7048*o**2. What is the second derivative of f(a) wrt a?\nAnswer: 7220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-84)\/33 + ((-45)\/(-11) - 3)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2073155\/11 + -187963. Let o = -56467\/110 + w. What is the common denominator of o and (-321)\/(-36) + 1\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u - 4. Let z = -171 - -182. Suppose 0 = -q + 2*n + 4, -3*n = q + z. Let j(h) = 5*h - 2. What is q*v(t) + 5*j(t)?\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:32 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 66237504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 1 (b) 0.5 (c) 3\/4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*d - 3*q + 1, 2*q = -6*q + 3*q - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or -2092?\nAnswer: -2092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, -3, 5, -88?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(121)*2 - sqrt(121))*3 + sqrt(121) + -1*sqrt(121)*-4)*-5)\/(sqrt(539)*4*5*2))**2.\nAnswer: 11\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 9408*c.\nAnswer: -4*c*(c + 2352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -26. Let d = -7 - z. Solve 0 = 3*r + 3*f - 27, -r = 3*f - d - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 16.027. Let j = -0.027 - r. What is the closest to 2 in -7, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 53. Let w be f(-28). Suppose -w*g + 1 = -20. What is the hundreds digit of g - (-1886)\/18 - 2\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444 and 4?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.33, -2\/17, 11, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 144 = 78. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 49*b**4 + 67*b**4 + 110*b**4 + (3*b**3 - b**3 + 0*b**3)*(0 + 2*b + 0) + (2*b**2 - 6 + 6)*(3 + 2*b**2 - 3).\nAnswer: 136*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 24 = -4*z. What are the prime factors of (1 - 2)\/((-3)\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556291 a multiple of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/2 + -9. Put 4, y, 0 in ascending order.\nAnswer: y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1869422 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -33. Let f = v + -8. Suppose -d = -2*g + 9 + 10, 3*g = -f*d + 22. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8 - 2 + 3 + 11*w. Let p(j) = 7*j - 43*j + 31*j - 4. Let o = 15 - 28. Calculate o*p(b) - 6*a(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 3*h - 19. Let r be g(-10). Let b(z) = -4*z + 9. Let p be b(-6). Let k = r - p. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49131209.\nAnswer: 197, 249397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, p: 3, j: 6}. Give prob of picking 2 j.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*1.574.\nAnswer: -0.03148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21a + 5?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let q(f) = -28 + 12 - 3*f + 9 + 0*f. Determine s(q(h)).\nAnswer: -3*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2661 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5039632 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:55 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17 less than -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*o = -t + 51*o, 3*o = 2*t + 2. Solve a - 24 + 29 = -3*m, -t*a - 4*m = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 12*g - 20. Let p(a) = -2*a**2 - 8*a + 13. Let w(j) = -5*b(j) - 8*p(j). What is w(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 534940.823 - 534669. Let p = -272 + m. Round p to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720291311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13287 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12177176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(243) - (sqrt(243) - (sqrt(243) - sqrt(243)*-2*4)))*-5)\/((sqrt(9) + sqrt(9) + -1*sqrt(18)\/sqrt(2))*2*6).\nAnswer: -135*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -887711506*u**2 + 176095329.\nAnswer: -1775423012*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 17*b - 17. What is p(-11)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*-1*(-6)\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10 + 2)*(112 - 9*t**2 - 112).\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -342 in 1\/5, -2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-220) + 12\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -176 (b) 1 (c) -5 (d) 0.153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-183)\/(-12) + 6\/(-24). Suppose -o = -2*h - 3*h. Solve 5*r = 5*b - 5, h*b = -r + 10 - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/20 - p**4\/3 - 5*p**3\/6 - 7*p**2 + 35*p. Calculate the remainder when x(-4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/54)\/((-6)\/(-72)). Suppose -24 = -4*m - 8. Let q(v) = -4*v. Let u be q(1). Sort m, u, o in decreasing order.\nAnswer: m, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 50 = -60. Let b(d) = 3*d**2 - 4*d - 7. What is the remainder when b(5) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i = -32*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -73, -110, -147, -184?\n\"Answer: -37*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/20)\/(435\/(-225)). Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**4 + 9*b**3 + 4*b**2 + 13. Let h(r) = -2*r**4 - 4*r**3 - 2*r**2 - 6. Let w(v) = 6*a(v) + 13*h(v). Determine q so that w(q) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2241 + -4?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-171)*(-2)\/6*51\/(-2).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475863662 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.66 + 0.34. Let w = -15 - -15.1. Which is the third biggest value? (a) n (b) w (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-77)\/(-14) + (-2)\/4. Suppose 0*j + 1 = j, 20 = 5*d + m*j. Suppose -d*n + 40 = 2*n + 5*i, -i - 4 = 0. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286195639.\nAnswer: 286195639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16.2 (b) -1\/8 (c) -3 (d) 5\/31 (e) 4 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 36*t - 230. Give w(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b609e7 (base 15) to base 9.\nAnswer: -17257061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 316\/28 + (-6)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + 1 + sqrt(1872) - ((sqrt(1872) - (-1 + -1*sqrt(1872) - sqrt(1872))) + sqrt(1872) - sqrt(1872))**2).\nAnswer: -16856 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256680163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6 - -9.2. Let y = -0.7 + 1. Sort 0.1, d, y in decreasing order.\nAnswer: y, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*l**3 + 1\/5*l**4 + 0*l - 2\/5*l**2 + 0.\nAnswer: l**2*(l - 2)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458865421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6, 4, -31, 1\/162, -3 in decreasing order.\nAnswer: 4, 0.3, 1\/162, -3, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24696 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2597781.5+-0.2\nAnswer: 2597781.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14935 is divided by 2458.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:46 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u*u)**(-3\/7)*u*((u**(6\/11)*u)\/u)\/u*u**(5\/3))**34)**(-29\/3) assuming u is positive.\nAnswer: u**(-308618\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1925037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 2*s - 8. Give k(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363 divided by -52.\nAnswer: -363\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65246 by 6.\nAnswer: 32623\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -18560*g**5 + 1001984*g**4 + 1028952*g**3 + 325444*g**2 + 32780*g = 0?\nAnswer: -149\/290, -1\/4, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 24 = 4*l, -l - 6 = l. Suppose -3*n + c*z + 49 = 7*z, -z + 1 = 0. Calculate the remainder when 74 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35422363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37839.\nAnswer: 3, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-3\/4)*b))**3*((b*b**(-3\/5))\/b)**(-11\/2) assuming b is positive.\nAnswer: b**(111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 12}. Give prob of picking 1 d and 1 w.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251859010 by -11999.\nAnswer: -20990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2156611 + 1654?\nAnswer: 2160465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 154*v**2 - 3*v + 91. What are the prime factors of j(-10)?\nAnswer: 11, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 5*s + 1. Let d(w) = w - 3. Let k be d(-3). Let a = k + 10. Suppose -3*h + 5*h = a*f + 20, 3*h = -4*f - 20. Calculate z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(21) - sqrt(21)*2*6)\/(-1*sqrt(112) - sqrt(42)\/(sqrt(6)*1)).\nAnswer: 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g\/(g**(1\/4)*g) assuming g is positive.\nAnswer: g**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -164.0379 from -91.\nAnswer: 73.0379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 40, 35, 28?\n\"Answer: -t**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10826982.\nAnswer: 2, 3, 113, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p + 7589 - 1035 = -280*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(588) - -5*(sqrt(588) + sqrt(588)*-2))\/(sqrt(1452)*2))\/((sqrt(3388) + 1*sqrt(3388))\/(sqrt(4)*-2*-2)))**2.\nAnswer: 112\/14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/3*(-4)\/(-8). Let m = v + 9. Let h(p) = -p**2 - 9*p + 2. Let n be h(-8). What is the highest common factor of n and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/47651 and -13\/6?\nAnswer: 285906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -116, -126, -138, -152, -168, -186, -206?\n\"Answer: -w**2 - 7*w - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 0.5 (b) 2 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/65 (b) 69213 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1873 + 2902 - 2*n**2 - 242 + 1052 as o + x*n + t*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(30) + sqrt(30) + -1*sqrt(1080) - sqrt(30))\/(-6*sqrt(30)\/sqrt(3)) - ((2*sqrt(54) - sqrt(54))\/sqrt(6))\/(sqrt(96)\/sqrt(2)))**2*-4.\nAnswer: -25\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -7*n + 4*n, -u - 13 = 4*n. Suppose 5*x = u + 27. What is the third derivative of 3*l**x - l**2 - 5*l**6 + 0*l**2 - 2*l**6 wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3170*l**3 + 2174*l**3 + 1530*l**3)*(2 - 3 + 5) to z + p*l**3 + i*l**2 + x*l and give p.\nAnswer: 2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m - k - 46, 5*m + 5*k + 90 = 0. Let c = m - -16. Factor -4\/3*t**c + 2\/3*t**4 + 2\/3 + 0*t**3 + 0*t.\nAnswer: 2*(t - 1)**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**3\/3 - 3*g**2 - 2*g - 6. Let a be n(8). Calculate the highest common divisor of 42 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 9433, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*m**2 + 0*m + 37*m**2 + 2*m**3 - 61*m**2 - 7*m in the form s*m**2 + l*m**3 + d + i*m and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: d3 (base 15) to base 16\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 7. Suppose 0 = -21*w + 5*w + 1152. Let l be (w\/60)\/((-6)\/(-15)). Let k = l + -8. Give u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 48*w + 256. Calculate the least common multiple of 2 and y(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-21\/4))\/(z\/(z\/z**(5\/8)))*z\/(z\/z**(26\/5))*z**(-2) assuming z is positive.\nAnswer: z**(393\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4*4 + 2. Let f be ((-40)\/15 + 2)\/(5\/(-150)). Factor -47*r**3 - 102*r**2 - f*r**4 - 5 - 10*r - 18*r**p - 25*r + 27*r**2.\nAnswer: -5*(r + 1)**3*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 1. Let n be q(4). Let g(h) = -3*h - 1. Let l be g(-3). Let b be (-14)\/(-4)*l\/14. Solve 0 = -2*t - p - n, 2*p + 0 = b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**5\/10 - j**4\/4 - j**3\/6 + 10. Factor d(i).\nAnswer: -i**2*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) -275760 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -z + 8*z. Let b(j) = 7*j**2 - 475*j - 72. Let c be b(68). Put -52, z, c, -1 in decreasing order.\nAnswer: -1, z, c, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 75 - -3?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeaaaekazkaama. Give prob of sequence kea.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*j**4 + 2*j**3*m**2 + j*m - 3*j + 97*m**2 wrt j?\nAnswer: 2868*j**2 + 12*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04806 - 2.\nAnswer: -2.04806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-42)*1\/((-4)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708360729.\nAnswer: 3, 3547, 66569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1441 - 672. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -6, -3, 1322, -1\/2, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o**2 + 10*o**2 - 2*o**2 + (0 - 1 + 2)*(4*o**2 - 2*o**2 - 3*o**2).\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 24. What is q(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1.094.\nAnswer: -0.3282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 2*f**2 - 5*f + 4. Let z be o(2). Suppose w - 6*w = -z. What is the units digit of (2\/8)\/(w\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -19136 (c) 23 (d) -2\/9 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-234)\/14 - -1. Let v be ((-9)\/(-6)*19)\/(-7*6\/(-28)). Is v != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.408 rounded to 1 decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2 + 24795004*m + 153698055840004 = 0. Calculate m.\nAnswer: -12397502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -20 - (-3 - -5). Let h = -10 + d. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000555612 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*1*sqrt(187) - sqrt(187))\/sqrt(11) + 1 + -1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -41. Let h be ((-2)\/i)\/(20\/30) - -6. Suppose -5*m = 2*j - 15, -3*m = h*j - 10 + 1. Solve 0 = -a - 5*u - m, u = 4*a + 1 - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, t: 2, l: 1, n: 7, o: 1, d: 3}. Give prob of sequence do.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + h + 29 + 13 = 0, 5*h = -4*t + 123. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 11, o: 1, z: 1}. Give prob of picking 1 x and 1 o.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 12. Suppose 2*t - h*t + 2 = 0. Let a be 0 - (-2 + (t - -1)). Solve 2*n + 4*z = -16, -3*z + a*z - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14165688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y - 5 + 5 + 41*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 10) + 7 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 2*m**2 - 3 + m + 2*m**2 + 1. Let v(k) = -k**3 + 4*k**2 - 2*k - 2. Let w be v(2). What are the prime factors of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703975871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s*t**2 + 80*s*t + 3*s - 20*t**2 - 2 wrt t.\nAnswer: 4*s - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {i: 6, q: 2, t: 2, v: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let u(f) = -4*f**2 - 5. Let z(v) = -v**2 - 1. Let k be (-2 - -5 - -2) + -2. Let w be -1*k\/3*-5. Let y(a) = w*z(a) - u(a). Determine y(l(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -4771441.\nAnswer: -4771437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 6, l: 4}. What is prob of sequence pvl?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let f(p) = -2*p - 313565 + 627168 - 317157. What is u(f(s))?\nAnswer: 8*s**2 + 28432*s + 25261832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10389?\nAnswer: 3, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-20)\/(-90))\/((-51)\/(-9)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86492980 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/5, -662, -3, -3\/4, -2 in increasing order.\nAnswer: -662, -3, -2, -3\/4, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184887?\nAnswer: 3, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.8309 hours in microseconds?\nAnswer: 92991240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/1234 (b) 0 (c) 1 (d) 16 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**7\/f*f)\/f**8)\/(f**(-2\/13)\/(f\/(f*((f\/f**(2\/15)*f)\/f)\/f))) assuming f is positive.\nAnswer: f**(251\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q - 9 = 0. Let d = 14 - q. Let n = -8 + d. Solve -5*k = -5*v + n + 2, 5*k + v = 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 176*v**3 - 22*v**2 + 22*v - 22. Let t(y) = y**3 - y**2 + y - 1. What is m(q) - 22*t(q)?\nAnswer: 154*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(30\/4))\/((-28)\/70)*-15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 2*d**2 - 26*d + 125. Calculate g(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/3 (b) -11 (c) 0.4 (d) 1395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3963996 and 4624662.\nAnswer: 27747972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -38 (b) -0.01 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let s(v) = -83*v + 2. Determine s(h(z)).\nAnswer: -83*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 54459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*((y\/(y*y**(-13)*y))\/y)\/y)\/y)**(1\/16) assuming y is positive.\nAnswer: y**(11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/468 and -37\/1368?\nAnswer: 17784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(51)\/sqrt(3)*-1 + sqrt(17)) - ((sqrt(1377)*1 - sqrt(17)) + sqrt(17) - (sqrt(17) - (1 + sqrt(17))*5)))**2.\nAnswer: 130*sqrt(17) + 2898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0*d**2 - 44*d + 7 + d**2 + 2*d**2 + 36*d. Is s(-5) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 4*n - 31 - 4*n - 7*n.\nAnswer: -n - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -1)\/((-3)\/3*1). Suppose -15 = -a*m - 2*u, 2*m - 4*m + 5*u + 10 = 0. Solve m*t - 3*x = 2, -3 = -3*t - 2*x + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)*(140 + -173) - -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 308880?\nAnswer: 308880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/120 - s**4\/8 - s**3\/3 + 5*s**2. What are the prime factors of u(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0 + 1\/720*k**6 + 3*k + 0*k**2 + 1\/40*k**5 + 0*k**3 + 1\/6*k**4. Let q(s) be the third derivative of u(s). What is q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 16032?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 780*i**3.\nAnswer: 780*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 0, -2*w + 5*w = 5*p - 9. Differentiate 2*a - w*a**2 - 4 - 2*a + 2 with respect to a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u**4 + 1\/60*u**6 - 2*u**2 + 0 + 0*u**3 + 1\/30*u**5 + 0*u. Find the third derivative of j(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j - 40*j + 15*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 189 + 153 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-507596)\/(-54) - (720\/243)\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 12}. Give prob of sequence rrtr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*k + 27748 = -368*k + 96642. Calculate the greatest common divisor of 18389 and k.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12123, -24415, -36707, -48999, -61291?\nAnswer: -73583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 103116200?\nAnswer: 103116203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/7 - 88*d**4\/7 - 302*d**3\/7 + 3312*d**2\/7 - 4680*d\/7 = 0.\nAnswer: -39, -10, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -163?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2, 4*f = -n - 110 + 375. Which is smaller: n or 1790\/7?\nAnswer: 1790\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 1395*f + 1508650.\nAnswer: -(f - 2110)*(f + 715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/7 - 540*r**3\/7 + 542*r**2\/7 = 0. What is r?\nAnswer: -271, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3 - 2*v**2 - 6*v**3 - 2 - 4*v**2 in the form o*v**3 + b + q*v + y*v**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 58. Solve 2 = -5*n - 3*a + 4, -4*a = -5*n - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2*z**2 - 1154 - 7*z**3 + 1147)*(0 - 3 + 5).\nAnswer: -14*z**3 + 8*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 8*w - 261. Let z = 5 - -22. Suppose -2*d + 2*c - 6*c = -6, -2*d + 3*c = -z. What is the least common multiple of w and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25300847 - 5902\nAnswer: -25306749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 21 = -3*n + 1, -5*l = -4*n - 28. Let f = -9 - n. Solve 5*a - 5*v - 2 = f, v + 9 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52976 or -52978?\nAnswer: -52978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbcrracrbracbrr. What is prob of sequence arb?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -140, 29, -170, 2, -3 in descending order.\nAnswer: 29, 9, 2, -3, -140, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 12*o**2 + 4*o - 11. Let l be r(12). Let y = l + -13. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -132\/5, 1\/774, -2\/11, -0.2, -2, -1?\nAnswer: -132\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 297 (base 15) to base 8\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -33. Let k(h) = 8*h + 7. Let j(t) = t + 1. Let a(o) = l*j(o) - 2*k(o). Let v(s) = 24*s. Calculate a(v(y)).\nAnswer: -48*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -407038, -814106, -1221174, -1628242, -2035310, -2442378?\n\"Answer: -407068*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 401*j**3 + 144 - 120*j**3 - j**4 - 145 + j**2 in the form c*j**2 + g*j + r + t*j**4 + y*j**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (6 - (1 + (-4 - -5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/7 + 2052\/(-456)*20\/(-6)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.051 - 7.131. Let x = 7 + m. Let w = -2.08 - x. Put -0.1, w, 3\/4 in decreasing order.\nAnswer: 3\/4, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*u**2 + 40*u**3 + 42*u**2)*(-2*u + 2*u + u)*(-2 + 0 + 1).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 16. Let q(b) = 11*b + 17. Let d(o) = 5*o + 8. Let n(v) = 17*d(v) - 8*q(v). Determine c(n(r)).\nAnswer: -36*r**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 18*z**2 + 19*z - 9. Suppose 0*p + 8*p = 136. Let a be o(p). Solve 5*j + a = 0, 4*q + 4 = q - 2*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255465954 a multiple of 932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15764 smaller than -331015\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25426 is divided by 1024?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 115 + 193 - 2*f**2 + 0*f - 87 - 25.\nAnswer: -2*f**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 597529, 1195063, 1792597, 2390131, 2987665, 3585199?\n\"Answer: 597534*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 + -130. Is (28\/13)\/m - 9622\/(-13) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 154 + 102 = 0. Suppose 0*m + 3*m = 0. Is m greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2 + 2)*(-1 - 1 + 0)*(3*v - 2*v + 0*v)*(-65 + 25 + 30).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 13*u + 18. Let t be k(-12). Let q(b) = 13*b + 8 - 26*b + 25*b + t*b. Calculate the remainder when q(2) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s**2 - 8*s**2 + 8*s**2.\nAnswer: -73*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4838658 hours to days.\nAnswer: 0.020161075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -111111?\nAnswer: -110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -9, -27, -53, -87, -129, -179?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4676*p - 77 + 82 - 5. Let c(n) = n**2. Give q(c(y)).\nAnswer: -4676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*360\/24. Let k be z - (0 + 6) - (0 + -4). Solve 0 = k*b + b + x + 7, x + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/(-200)*(-160)\/1728?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r - 148764 = -89*r. What are the prime factors of r?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73a06 - 64?\nAnswer: -73a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*n**2 - 3*n**2 - 4*n**2.\nAnswer: -82*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 0, -1\/8, -69, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -438 + 447.55. What is f rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*m - 9*m + 4*m to the form n + x*m and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 5*f**2 + 6*f**2 + (-f + 2*f + 0*f)*(f + f - f) in the form t + i*f**2 + b*f and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, -4, -64, -148, -256, -388?\n\"Answer: -12*q**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 1887 + 11*d - 14*d**2 + 3771 - 1886. Let n(s) = s**2 - s. Calculate 12*n(o) + y(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Work out -5065 - 153.5.\nAnswer: -5218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1074039?\nAnswer: -4296156","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -45. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12737563*g + 9800 = -12737703*g for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 4, g: 2, s: 8, f: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/4)\/(-1 - 1). Suppose 2*n = -i*n + 200. What is the greatest common divisor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)\/g)\/g**(-3)*g**4*g*g\/(g\/(g**(-4)*g)))**(-17) assuming g is positive.\nAnswer: g**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from unnnnnvnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + 0*n**2 + 4*n**3 - n**2 - 3*n**3 - n**4 + n in the form i*n + y*n**2 + s*n**4 + x + k*n**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -773\nAnswer: 1\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10085694.\nAnswer: 2, 3, 19, 88471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Let g(s) = s**3 + s**2 + s + 4. Let b be g(z). Calculate the lowest common multiple of 8\/b*(1 - 0) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 14 + 4 = 2*u, u - 4 = -2*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + 0 + 0)*(-393 - 95 + 257) - 2*t - 2 + 2)*(3 - 3 + 2*t)*(0*t**3 - 2*t**3 + 0*t**3).\nAnswer: 1856*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x + 17*x + 17*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313.335305 rounded to the nearest 10?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, o: 1}. What is prob of picking 2 d and 1 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.462 + 220.262. Let n = s + -220. Sort n, 1\/4, 1\/3, 7\/4 in ascending order.\nAnswer: n, 1\/4, 1\/3, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 195, 405, 615, 825?\n\"Answer: 210*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 5*g + 5, -3 = 4*m - 5*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 111, 14\/17 in decreasing order.\nAnswer: 111, 14\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 88. Let c(o) = -o**2 - 17*o + 60. Calculate the remainder when c(q) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 141?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o + 8. Let a(x) = -2*x + 2. Let l(s) = 4*a(s) - t(s). Let c(p) = 599*p**2. Calculate c(l(v)).\nAnswer: 2396*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/18)\/(1014\/702))\/(6\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 70 = t - 2*b, 4*t + 5*b - 250 = 0. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/40 + 77*z**5\/20 + 1443*z**4\/8 - 1521*z**3\/2 - 2*z**2 - 41*z. Solve k(v) = 0.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 159 - d**4 - d**3 + 152 + d to k*d**2 + w*d**3 + x*d**4 + h + n*d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 716 - -0.7.\nAnswer: 716.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r - 15*r + 71*r - 7*r - 28*r - 16*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 3. Let j(k) = 3*k - 2. Let s(w) = -3*j(w) + 2*o(w). Let v(r) = 1 + 2*r**2 - r**2 - 1. What is v(s(z))?\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -2*a, 0 = 5*a - 3*h - 3 + 5. Let g(l) = -7 + 0*l + 2 + 3 - a*l. Let b(o) = -o**2 - 5*o + 3. Let v be b(-5). Determine g(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81608392 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: Is 18 a factor of 688202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-18))\/(5\/20*-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -15 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 30*p - 12696. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 4*x**2 - 3*x + 3. Let d be t(-3). Let w be (93\/21 - 4)\/(17\/119). Suppose 3 + 5 = -4*k - 4*v, 5*k = w*v + d. Solve k*s - 1 - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1190 and 72\/16345.\nAnswer: 555730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14 = -5*c + 9, 3*l + 4*c - 26 = 0. Let w(o) be the third derivative of -1\/40*o**6 + 0*o + 0 - 1\/4*o**4 + 3\/20*o**5 + 4*o**l + 0*o**3. Factor w(y).\nAnswer: -3*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 4 - (1 + 4 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 288250 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -323, -487, -713, -1001, -1351, -1763?\nAnswer: -2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 4 - -4) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + -78. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2 + 7*l**2 + 0*l**2 - 8 wrt l?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/3 - 60*v - 2700 = 0. Calculate v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -7*m**5\/5 + 15*m**3 + 9*m - 29. Differentiate g(w) wrt w.\nAnswer: -28*w**3 + 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q*q)\/q)**16\/(q**(1\/2))**(-2\/123) assuming q is positive.\nAnswer: q**(3937\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 + 175*m**2 - 6726*m = 0. What is m?\nAnswer: 0, 57, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-7)\/(-2) + -3)*4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3 + 0?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -866, 587, 1 in increasing order.\nAnswer: -866, 1, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 1128 = -9*c. Let f(i) = i**2 - 13*i - 162. Let o be f(c). What is the highest common divisor of o and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70243106 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42359265 a multiple of 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*11.984882.\nAnswer: -59.92441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -315 - -315.34. Let c = y + -0.979. What is c rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.04 - 138. Let b = 0.15 + -8.15. Let f = b + i. What is f rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2668454.\nAnswer: 2, 349, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - p**2 + 4*p - 4. Let o(d) = -3 - d + 4*d - 3*d - d**2 + 3*d. Let l(h) = 3*n(h) - 4*o(h). What is the third derivative of l(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8194156063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2400433 + 2400433 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v**4 + 2*v**3 + 7*v**4 + 2 - 14*v**4 in the form a + c*v**3 + h*v**2 + t*v + g*v**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 25. Let c be (-38)\/(-9) + 2\/(-9). Suppose -c*y - 5*y + 126 = 0. Calculate the remainder when y is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1435 + -1397. Calculate the remainder when 210 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20317 - 20315.9771. Round d to 2 decimal places.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -49. Calculate the highest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9*j - 156 = -142, 5*n = -j + 154. Suppose 4*t = 367 - 151. Calculate the remainder when t is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 w when four letters picked without replacement from {w: 2, o: 8, u: 1}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 1167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4724 times -471.1?\nAnswer: 2225476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, w: 8, e: 2}. What is prob of sequence wfef?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 4:33 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**3 + 2*p**2 - 6*p**3 - 63*p**4 + 1544*p + 29*p**3 - 570*p + 2023*p wrt p?\nAnswer: -756*p**2 + 174*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26934 - -26792. Is q greater than -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let x be d(0). Solve x = c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1736)\/(-12))\/7*9\/6. Let o = d - 29. Solve o*t - 11 = -3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 6*w + 105. Let o = w + 112. Let q(y) = 4*y**2 + 24. Let n be q(o). What is n rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {u: 2, m: 1, w: 5, d: 2, i: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 44*n - 126. Let b(z) = 2*z - 1. Let d(p) = -6*b(p) - m(p). Find f, given that d(f) = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -14 (c) -2\/13 (d) -2875 (e) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 27, 2\/19, 4 in ascending order.\nAnswer: -1\/15, 2\/19, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 + 17*v\/6 + 1\/3.\nAnswer: (v + 2)*(8*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.35 and -50691.\nAnswer: -50696.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -576 - -576.08. Which is bigger: -0.014 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/84 + 39\/18 + 2. Suppose -3*c + 8 = 2. Suppose -d + q = -2*d + 5, -c*d - 4*q + 20 = 0. Solve -j*l + 3*l = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-27 + 30))\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*g**6 - 330809*c*g**3 + 2*c*g - 127647*g**2 wrt g?\nAnswer: 240*c*g**3 - 1984854*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-27)\/12*1. Suppose -s + 4*s = b. Let l(k) = 8*k + 27. Let j be l(-3). Solve -d - 15 = -s*p, 14 = -2*d + j*p - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 - 0) + -26)*27\/(-6). Let a = 182 - n. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(3\/2)*k)*k\/(k**8\/k)*(k\/(k\/(k\/(k\/((k\/(k\/(k*k\/k**0))*k)\/k)*k))*k)*k)\/k*k**5*k*(k*k**(1\/3)*k)**(-35)\/(k**(-6)\/k*k**(-5)\/k) assuming k is positive.\nAnswer: k**(-421\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtttxttxtt. What is prob of sequence xtxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-2)\/5)\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*j - 51*j + 30 = -126. Let q(y) = 2*y**2 + y - 15. Give q(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + w - w)*(6*w - 4*w - 3*w) + 3*w - 34572670*w**2 - 30 + 34572763*w**2 + 2*w**3 - 4*w to the form j*w**3 + y*w + k + t*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 33*t - 17*t - 7*t**3.\nAnswer: -7*t**3 - 32*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/3)\/((-4)\/(-186)). Suppose f = 6*f - u. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656802 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4538 times -0.42\nAnswer: -1905.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*n, 4*o - 5 = 3*o + 2*n. Let b be (-1)\/o*78\/(-6). Solve k - 8 = v, v - 5*k = b - 41 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmqq when four letters picked without replacement from nhqmqqqqqhqpqqqqnq.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:16 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 0) + (-7 - (-39 - -46))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 7:41 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/24*34 - -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 482, 683, 864, 1019, 1142?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 6*c**2 - 2*c - 9. Let o be a(-6). Suppose 0*p = o*x + 4*p - 43, 4*p + 20 = 0. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-54) + (-320)\/18. Let o = -5 - g. Calculate the remainder when 24 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134087977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4003*d - 38079 + 146160 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-36) - (-46)\/3. Let o be (-10)\/(-4)*(-5)\/m. Let b = 1\/32 + o. What is the closest to 1 in b, -5\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291974 is divided by 291969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2043 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 6509.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 533823034 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2679 + 24076\/9. Let x be 2 - 2 - 17948\/33. Let n = 1618\/3 + x. Calculate the common denominator of r and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -420, -908, -1720, -2856, -4316?\n\"Answer: -162*g**2 - 2*g - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 - 17*v - 2. Let g be c(-8). Solve -p - 3 = -g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10 - -11 - -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h**3 + 5*h**2 - 5*h**2 - 2*h**2 + 15*h**3.\nAnswer: 49*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17365733057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/7, 4\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -239*h + 336. Let j be m(14). Let p = -1122 - j. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/((-10)\/(-45)). Suppose -s*t + 5*t + 85 = 0. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a3a (base 11) in base 7?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22*h - 123. Let k be a(-6). Let s(q) = -q**3 - 3*q**2 + 4*q - 3. Let d be s(-6). Calculate the greatest common factor of d and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/9)\/l)\/(l\/((l**(-3\/5)*l)\/l)*l)*(l\/(l**(-3)\/l))\/l*l\/l**(2\/3) assuming l is positive.\nAnswer: l**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 25, 29?\n\"Answer: 4*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -140*u + 122*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i**(9\/2)*i)\/i))\/i*i)\/i*(i**(1\/11)*i)\/i)\/(i*i**(1\/5))**(-7))**50 assuming i is positive.\nAnswer: i**(2195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-36 + 50 - (-3 + 2 + -3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*o - 65*o - 2*o**2 + o**2 - 91*o.\nAnswer: -o*(o + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-5)\/(-50)*4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + -1 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:21 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -267*d - 18365. What is m(-69)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1875*k*o - o + 215 wrt k?\nAnswer: -1875*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -807*q + 43. Let l be -3 + (-1 - -7)\/(-2). Is d(l) 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 10:34 PM and 12:29 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7590 and 49\/120?\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 1, d: 2, g: 3, m: 5, s: 1}. Give prob of picking 1 q, 1 m, and 1 d.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-4\/9)\/w)**(-6))**(-2\/7))**(-40\/3))**(2\/25) assuming w is positive.\nAnswer: w**(832\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from yyrasa?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 2)*(6 - 4 - 1 - 3 - 5 + 6 + (0 - 3 + 4)*(-1 - 4 + 4))*(a + a - 4*a) to p*a + z and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 7*w + 7. Let j be d(-5). Let t be (21\/j - -4) + 16. What is the greatest common factor of 104 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/((-117)\/126)*(-14 + (-324)\/(-24)). What is j in 0 - 1\/3*j**5 - h*j**3 - 8\/3*j**4 - 8\/3*j - 22\/3*j**2 = 0?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((5\/(-15))\/(2\/(-6)))\/1. Let y be -4*(-15)\/20 + m + 3. What is the first derivative of 11*l**2 - y*l**2 + 12*l**2 - 18 wrt l?\nAnswer: 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -4554051123?\nAnswer: -4554051123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 6*j - 3. Suppose 5*t - 21 = m, -m + 8 - 19 = -3*t. Let c be z(t). What is the second derivative of 7*w**2 - 3*w + 0*w**2 - w**c wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*g + 13, -4*g - 3*k + 5 + 0 = 0. Find the second derivative of -4*h + g*h**3 + 0*h + 2*h + 3*h**3 wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 133, 230, 327, 424?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 4 + (-30 - -6 - -23) + (1 - 1)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 280*w - 30809. Give c(110).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-114)\/(-2) + (-3 - 0). Let k = -19 + t. What is the greatest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqsfsjs. Give prob of picking 1 s and 1 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3302 + 576*u - 3276 - 95*u wrt u?\nAnswer: 481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-1)*20\/180*(-7 + 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q - 27. Let t be i(-7). What is the units digit of t\/((-6)\/26)*(-138)\/23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1662027213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 220031.6g?\nAnswer: 220031600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3 - 7209*z**2 + 3405888*z + 1165452300 = 0. Calculate z.\nAnswer: -225, 1314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 6*i**2 + 8*i + 5. Let s = 3 - 8. Let z be m(s). Suppose -5*f + f - 28 = -4*g, 5*g - z = -f. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01734 to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3096443?\nAnswer: 7, 41, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*k + 2088 = -179*k + 226*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p - 6. Let o be v(6). Let s be o\/10 - 3 - 0. What is the second biggest value in 5, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:01 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2422*k*r**2 + 112*k - 43*r**2 - 54*r wrt r.\nAnswer: -4844*k - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 5*a + 25, 28 = 4*j + 4*a. Let p(k) = k - 10. Calculate p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5192 and 6846136?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -14*v + 1335. What is the thousands digit of w(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.536135 rounded to 1 decimal place?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646692.\nAnswer: 2, 3, 13, 137, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13125757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/45*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/9 - 43966*s\/9 + 20394380\/3 = 0. Calculate s.\nAnswer: 1493, 20490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*w - 459, 0 = -10471*a + 10470*a + 18*w - 1639 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -40 + (0 - (4 - 8)). Let t = d + 71. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 + -244. Sort w, 4, -1, 0.\nAnswer: -1, 0, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 + 2*z**2 - 112. Let p(v) = -5*v**3 + 3*v**2 - 112. Give 4*c(x) - 3*p(x).\nAnswer: -x**3 - x**2 - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312650 and 33670.\nAnswer: 2188550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7144*p*w + 3605*p - 2 wrt w.\nAnswer: 7144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632036 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 54*r + 2. Let u = 28 + -26. Let d be w(u). Calculate the greatest common factor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 671.7844 tonnes?\nAnswer: 671784400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 322210224?\nAnswer: 322210231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + -84 - (7 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -13, -44, -83?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 2*f + 17 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 542873495 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 + 5744*k**3\/5 + 578952*k**2\/5 + 3921152*k + 221753168\/5.\nAnswer: (k + 34)**3*(k + 5642)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -1\/2, -2795, 0, 0.22, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 102 + -45?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 46*j - 49*j, -v + 3*j - 864 = 0. Let p = -313 - v. Does 35 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 192 - 193 = 0. What is the smallest common multiple of 20 and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l + 4970 - 126214 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.406, 0, 1 in ascending order.\nAnswer: -3, 0, 0.406, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1308 take away -0.2?\nAnswer: 0.0692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6029.\nAnswer: 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2\/21, -11\/4, -4, 961?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-243)\/18)\/(-12 + (12 - (-36)\/192)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*k - 300, 5*k - 55 = 3*w - 385. Suppose 63*h - 58*h - w = 0. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 7 = 3*z. Suppose z*g - 10*g = -80. Suppose 62 = 2*y + g. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -221, 4, 1.\nAnswer: -221, -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1352, -5420, -12202, -21698, -33908, -48832?\n\"Answer: -1357*m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 157644328 to the power of 1\/2, to the nearest integer?\nAnswer: 12556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -5*n**4\/12 + n**3\/6 + 8*n. Determine d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 7*a - 3*o = -8409, -4208 = -a - 5*o. What are the prime factors of a?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 40. Solve s*n + 0*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-10)*145\/(-58). Solve 2*o = n*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 5312*u**2\/3 - 3516520*u\/3 + 14151200\/3.\nAnswer: -2*(u - 4)*(u + 1330)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/30)\/((-276)\/(-2070)*(-9)\/2)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*k**2 + 21*k**2 + 2*k**4 + 19*k**2 - 76*k - 66*k**2 - 170 wrt k?\nAnswer: 8*k**3 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9051*u + 8154*u = 62790 for u.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 115*m + 455. Determine t(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*5\/(-100)*4)\/(8\/60).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/2*7\/(-14). Suppose -u*d + 4 + 0 = 0. What is the common denominator of d and (-182)\/30 + 4\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q + 7. Let a be j(3). Let i = a - 31. Solve -1 + 13 = i*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1185 = -0*z. Let k = z + -148. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -38*b + 115. Let q be r(3). Calculate the highest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 119?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 660567, 1321055, 1981543?\n\"Answer: 660488*z + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -41. Let d = 29.8 - t. Let h = 3 - 1. Which is the smallest value? (a) 2\/13 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3)*2047\/3115*-14\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 - x**3 + 0*x**3 - x**2 - x + 1. Let c be j(-1). Solve -c*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10285153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4\/3 + 28*n**3 - 40*n**2 - 1492*n\/3 - 430 = 0.\nAnswer: -43, -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 - (-1 - 1) - 6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -23. Find the third derivative of 0 - 6*s**q - 17*s**2 + 42*s**4 + 0 wrt s.\nAnswer: 864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 40008?\nAnswer: 1\/10002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 252 (b) -0.4 (c) 6 (d) -3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*l + 42 = 0, 2*l - 8 - 10 = -4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*f, 4*f + 62 = -2*l + 56 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 3*m - 1. Let r be h(-1). Let v be (9\/6)\/(r\/16). Let x be 2\/12*(17 + -15)*3. Solve v*u = -2*f - 4, 4*u - 3*f = -13 - x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 18. Solve -6 = -3*i, k - 6 = 3*h - 3*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0\/(-1) + -8 + 9. Let z be (204\/52)\/(-1) - -4. Put -2, s, z in ascending order.\nAnswer: -2, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 17*s**2 + 4. Let y be c(17). Sort y, 12, -3.\nAnswer: -3, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/sqrt(81))\/(-2*sqrt(40)) + 0)**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**5\/5 - 567*u**4\/5 + 2254*u**3 - 51803*u**2\/5 - 80304*u\/5 - 3332 = 0.\nAnswer: -1, -1\/4, 10, 14, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 + 4*b + 1. Determine y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 + 109619*x**2\/3 + 3004136099*x\/3 + 3004026481\/3.\nAnswer: (x + 1)*(x + 54809)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76\/3 + -323\/6. Suppose 4*u = 3*u, -3*u = -5*v + 20. Calculate the common denominator of (-3)\/(-12)*13\/v and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223339*y + 223286*y - y**2 - 446625*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {j: 3, i: 5, p: 3, w: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -342 less than or equal to -342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h + 1. Let z(j) = 22*j**2 - 10*j + 10. Determine -20*x(u) + 2*z(u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432*s**2 + 287*s + 2 wrt s.\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/273 + 184\/273. Which is the biggest value? (a) 0.06 (b) u (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1988*k - 550 = -1999*k for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 75 = -3*w - 93, 0 = 3*i - 39*w + 18 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*u = -3, 4*s - 1 - 1 = -5*u. Let f(r) = -r**2 + 3*r + 3. Let h be f(4). Let j = s + h. Which is bigger: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v + 15, -2*v + 15 = w. Let c be 10\/(-35) + 48\/w. Solve -c*d + 2 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -0.2 (c) -0.05 (d) -339888 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1331*j - 44. Let p(s) = 888*s - 28. What is 5*o(t) - 8*p(t)?\nAnswer: -449*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-720)\/(-52) + 2\/13. Let a = -27 - g. Let u = 62 + a. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 6 + -53 + -14 + 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3808 and 22621424?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3537628.\nAnswer: 2, 151, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 2. Let f(x) be the first derivative of 7 + 21*x - 9\/2*x**2. Determine 2*f(h) - 21*w(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 286594, 573368, 860142, 1146916, 1433690?\n\"Answer: 286774*d - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 13237\nAnswer: -16\/13237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 28*s**2 - 241*s - 3386. Calculate y(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -523554 divided by -87259\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfhyrqp. What is prob of sequence yq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -5 + sqrt(17) + -1 + (-3*sqrt(1836))\/sqrt(3)).\nAnswer: -51*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myc when three letters picked without replacement from cctcmwccywccwy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let f = 7037 - 7036. Let h(z) be the first derivative of 3*z**2\/2 - 8*z - 1. Calculate f*h(w) + 6*i(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(30) - 2*sqrt(1470))\/(sqrt(70)\/sqrt(112) + sqrt(10) - (sqrt(100)\/(sqrt(10) + sqrt(10)*-1 + sqrt(10)) + sqrt(10))).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 4*i + 5*t, -212*i + 4*t - 41 - 11 = -214*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/608 and -81\/30400.\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 2*o**2 - 4*o - 2. Suppose -7*f - 11 - 10 = 0. Give l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpppppwpwpp. What is prob of picking 1 w and 3 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*l - 596 = -l + 332 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 1. Let i be x(1). What is a in 79*a**3 + 0*a**i + 0*a**2 - 77*a**3 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4557 (base 9) to base 5\nAnswer: -101443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15657 + -0.09657. Which is the nearest to 0? (a) 1\/4 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848 = 405*a - 402*a. Suppose -m = q - 616, q - a = 10*m - 7*m. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 24.4 (c) 0.4 (d) 2\/9 (e) -3\/4 (f) 1546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Solve -4 - 12 = f*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:21 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401888.\nAnswer: 2, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 3:12 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 25*a = 35. Let k be (-5)\/(-2)*(-112)\/a. Differentiate 3*s - 11*s + 10 + k*s - 3*s**3 with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -779 + 1562 - 763 - 2*a**2.\nAnswer: -2*a**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 = 2. Let i be 2\/4 - 1 - u. Let k be (-4)\/(-9)*3\/2. Which is the nearest to i? (a) 0.1 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 4*a**3 + 0*a**3 + 6*a**2 + (-6*a**2 + 10 - 10)*(-78*a - 45*a - 293*a) to x + q*a**2 + i*a**3 + g*a and give i.\nAnswer: 2495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/30)\/(30\/(-12)))\/((-14)\/105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47483 + 123372. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 22*t - 12. Let w be v(-12). Is w\/18*-1 + (-14585)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4174656 and 9656?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.57 and 2.\nAnswer: -15.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 6*w - 5. Let v be c(5). Let b(n) = -n**2 - 7*n. Let i be b(-5). Let q = i - v. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a34 - -a7?\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -76. Let j be ((-40)\/u)\/(((-40)\/(-6))\/(-10)). What is the third derivative of -11864 + 11864 - 31*z**3 - j*z**2 wrt z?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.5 + -19. Put -0.6, -2, 0.3, f in decreasing order.\nAnswer: 0.3, f, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1959*d**2*i**2*k - 86*d**2*i**2 - 35*i**2 wrt k.\nAnswer: 1959*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 135, 238, 341, 444, 547?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.392, -2395, 1?\nAnswer: 1.392","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41328 + 1611359\/39. Let z = -22\/39 + p. What is the common denominator of z and 1\/2 - (-134)\/28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -211, -427, -643?\n\"Answer: -216*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 18*h**3 - 9650*h**2 + 1092*h - 10681. Give g(536).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/12 - 3*s**2\/2 - 88*s + 2. What is h(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 7*s + 6. Let l be f(-8). Solve 0*t - 1 = t, -4*t = 5*r + l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65780 rounded to the nearest 1000?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 2. Let j be u(2). Let a be -2 - (112\/20)\/(-4). What is the closest to a in j, 15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**5 + 0*h**6 - h + 0*h**2 + 0 + 1\/12*h**4 + 0*h**3 + 1\/14*h**7. Find the third derivative of q(a) wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5355? (a) -23\/3 (b) -2\/5 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {z: 1, x: 17}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8202.105ml in litres?\nAnswer: 8.202105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/198*154 + (-3*1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**17)**16\/((i**(-1\/4))**(-32)*(i**(-1))**(-2\/25)) assuming i is positive.\nAnswer: i**(13398\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*x + 138*x + 6083 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 308 + 24?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 77, 135, 193, 251?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3347, 3346, 3345, 3344, 3343, 3342?\nAnswer: 3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-16))\/((-21)\/3 + 166\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznzzznbozzzzezezznl. What is prob of picking 3 n and 1 z?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-24) + 1\/(-3). Suppose -4*g - r + 5 - 2 = t, 5*g - 25 = 3*r. Differentiate -2*q**g - 3 + 4 + 4 + 0 with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-12)*(0 + -18). Suppose -2*s - 28 = -3*s - 5*c, 2*s + 3*c - 28 = 0. Let b = a + s. What is the nearest to b in 1, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -124*t + 1116. Give f(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1073226)\/(-209) - (-1)\/(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let h be u(-3). Suppose 3*q + 159 = 4*n, 0*n - 2*q = -h*n + 118. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/34 (b) -475 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 - 3*b - 6. Give s(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-513)\/38)\/(12\/(-56))*(25\/(-120))\/(-5)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(1*sqrt(3)))\/sqrt(3) + sqrt(162)*2*6)**2.\nAnswer: 23762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 420, 455, 514, 603, 728, 895?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**24*l*l)\/(l*l**9) assuming l is positive.\nAnswer: l**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6.7. Let j = -0.083 + 3.383. Let h = j + -3. What is the third smallest value in -4, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*n + 939*n = 469*n - 567 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-30)\/6 + -14). Let f(t) = t**3 - 20*t**2 + 17*t + 21. Calculate f(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/6)*p)\/p)\/p*p\/(p*p*(p*p**(1\/12))\/p))**(1\/35) assuming p is positive.\nAnswer: p**(-23\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, 9, -14, 24 in increasing order.\nAnswer: -14, -4, -1, 2, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 7*l**2 - 12*l + 112. Let r be n(6). Let m(a) = -13752*a**3 + 9*a**2 - 16. Let u be m(r). Round u to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 51 + 9. Let i be (20 + 0)\/(10\/s). Suppose 60*y = 421 - 61. Calculate the highest common factor of i and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**3 - 45*j**2 - 12*j.\nAnswer: 3*j*(j - 4)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/6 - 0 - 3*(-279)\/117?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 12) to base 3\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -86. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -123 - 253. Let i(r) = -4*r**2 - 37*r - 167. Let a be i(-5). Let x = a - q. Calculate the remainder when x is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 take away -331?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 537*i**3 + 89*i**2 - 606269*i wrt i?\nAnswer: 3222*i + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 - 88592*c**2 + 177187*c - 88594 = 0. Calculate c.\nAnswer: -88594, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.4311 - -2.2253. Let r = 6.2 + x. What is r rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 6\/4)\/(9\/30) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6352867 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p + 2*p + 4*p)*(-2*p + 5 - 5)*(4 + 1 + 3).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 98*g + 41. What is u(2)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -180\/89 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 94*t**2 + 7*t - 7*t - 165*t**2 - 335*t**2.\nAnswer: -406*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*m + 35 = -10, 5*d + 10 = -2*m. Let y be ((-252)\/15)\/(-2) - d\/(-10). Suppose -7 - 18 = -5*k. Solve y + 2 = k*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187088, 187067, 187038, 187001, 186956?\nAnswer: 186903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 164\/(-10) + 2 - (-21)\/(-35). Let y = -13 - w. Solve -4*g - g = 3*p - 24, -y*p + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 4*f**2 + f - 4. Let j(n) = 4*n + 12. Let w be j(-10). Let i be (w\/(-7) + (-4 - -1))*3. Determine h(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 + 7. Let y(z) = 3*z**2. Determine y(u(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5818.37mg?\nAnswer: 0.00581837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 45*n - 4486. Give g(100).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -478 + 186. Let n = 192 - j. Let p = 26 + n. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {c: 2, p: 1, f: 2, j: 1, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -485718863 and 2.\nAnswer: -485718861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 44. Suppose 148*p = 150*p - 30. Calculate the remainder when ((-186)\/p)\/(3\/((-45)\/6)) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v. Let f(g) be the third derivative of -85*g**4\/24 - 139*g**2. Calculate f(w(r)).\nAnswer: 170*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -534 + 539. Suppose z = 4*r + 88, r + 424 = t*z - 3*r. What is the remainder when 837 is divided by z?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l + 78*l - 498869 = 96447333. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 102 + 18 = 0. Let v = -38 + z. Is (56 - 6) + (v - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 136\/23. Let l = k - 152\/161. Suppose -2*z - 15 = -5*s, -z - 4*z + 2*s = 6. Is z >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*q = -9, -2 = -4*q + 3*q. Suppose p*k = -u + 85, -k + 57 = k + u. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 - 0.5. Let c = -21785 + 21785.04. What is the closest to c in 1, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.5 and 2.373?\nAnswer: 8.3055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4818 = -175*a - 2882. What is the closest to -0.04 in a, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44)\/(-24))\/(-11)*(-6)\/(-3). Suppose 0 = -w - 2*w - 3. Are m and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + 1 + -12 + 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -3*s + 33 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 78*p**2 - 2834*p + 116. Let s be c(-105). Let r(j) = -2*j**3 + 25*j**2 - 30*j - 23. Determine r(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = -q + 19, -3*h + 5*q = -12. Let m be (3*3)\/(0 + 6\/16). Suppose 0 = -2*i - 2*p + 12, -3*i + i = -h*p - m. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = 0, -5*w + 123 - 376 = -3*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.6 and 237254?\nAnswer: 237251.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 5*j**2 + 8*j + 4. Let o be p(-3). Let l = o + -48. What is the units digit of ((-99)\/(-12) + l)*12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + b = 4*d + 2, 5*b + 22 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -36*o**3 + 4*o**2 + 38*o. Let t(a) = -a**3 + a**2 - a. Let k(c) = 4*t(c) - x(c). Find the second derivative of k(v) wrt v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4347 times -234?\nAnswer: -101.7198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 1\/60*p**5 + 0*p + 11\/2*p**3 + 0 + 4*p**2 + 0*p**4. Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 56 = 23*u - 31*u, -5*q - 3*u = 55 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*p**5 - 840*p**2 + 840*p**2 + (-2*p**4 - 3*p**3 + 3*p**3)*(-p + 3*p + 0*p).\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2547.811l?\nAnswer: 2547811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 + 453*g - 3630. Determine d(22).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = i, 0 = i - 4*i - 5*l + 6. Suppose -i*w - 14 = 4*v, 2*v = 3*w - 9 - 10. Let u(y) = -y**3 - 2*y**2 + 8*y + 6. Is u(v) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21760, 21746, 21712, 21658, 21584?\n\"Answer: -10*c**2 + 16*c + 21754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.339919552 to 4 dps.\nAnswer: 26.3399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/502 and 13\/18072.\nAnswer: 18072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32787 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 31?\nAnswer: 19\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-4))\/((-15)\/(-116)) and (-62)\/20 - (7 - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 38 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + -7741139?\nAnswer: -7741081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 807, 5\/3, 2.5, 5, -1.\nAnswer: -1, 0.4, 5\/3, 2.5, 5, 807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 3. Let o(s) = 3*s - 20. Let f be o(10). Suppose -f*q + 4*q = -24. Let j(m) = 3*m - 4. What is q*z(c) + 3*j(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-74 - -3) + -64 + 79.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.7. Let f = -15.227 - -15.127. Which is the biggest value? (a) 0.1 (b) f (c) p (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(2*sqrt(125) - sqrt(125))*6)**2 + -1 + -3.\nAnswer: 162001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/30 - 5*b**4\/24 + b**3\/2 - b**2. Let l(i) = 3*i - 4 + 2 - i**2 + 2*i**2 + 0. Give 5*l(v) + 3*r(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5741784 from 3578.6.\nAnswer: 3577.0258216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**2 - 7*p - 4. Is 5 a factor of q(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2*2)\/(-3*15\/105). Let w(h) = 11*h + 5. Let u(f) = 11*f + 2. Let v(a) = -a - 4 + 1 - 11*a. Let j(n) = 4*u(n) + 5*v(n). Determine m*w(g) - 5*j(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 h, and 1 f when four letters picked without replacement from {m: 1, y: 3, h: 5, v: 2, p: 1, f: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1072473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/2 of a centimeter?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -10, -11?\n\"Answer: -m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 21. Let o(b) = -6*b**2 - 4*b - 4. Let r(l) = 7*l**2 + 5*l + 5. Determine m*r(j) + 5*o(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83229 + -39913. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301122031 (base 5) in base 8?\nAnswer: -13777062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1322339*c + 2 - 2 - 23*c**2 - 1322339*c.\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25337, -50673, -76009, -101345?\n\"Answer: -25336*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4414201*v**2\/4 + 6303*v\/2 + 9\/4.\nAnswer: (2101*v + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -7*t + 34 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 4*b + 4*d + 90, -b + 65 = -2*d. Suppose -s - 8 = -3. Let l(z) = -2*z - 3. Let y be l(s). Calculate the greatest common divisor of y and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 1.4, -13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**2\/2 - 39*o + 143. Calculate z(-30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 928651*w**5 - 17*w**3 - 6*w**6 + 21*w**6 + 1352*w**2 - 928651*w**5 wrt w?\nAnswer: 1800*w**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1068*a*b*p - 180*a*p + 2*a + 13*b*p + 132441830*b wrt p?\nAnswer: -1068*a*b - 180*a + 13*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -480692067+350\nAnswer: -480691717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 - 6*d**5 - 15*d**4 + 26*d**2 - 407*d wrt d?\nAnswer: 120*d**3 - 360*d**2 - 360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1425, 2877, 4367, 5889, 7437, 9005, 10587, 12177?\nAnswer: 13769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/11 - 38*a**4\/11 - 948*a**3\/11 - 2456*a**2\/11 + 16*a + 3264\/11 = 0.\nAnswer: -12, -2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 35\/25882132?\nAnswer: 35\/25882132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-6 + -1 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*m**3*u + 181*i*m + 86*m**3*u + 2*m**3 wrt u.\nAnswer: -i*m**3 + 86*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(243)*-6 - sqrt(189)\/sqrt(112))\/(sqrt(729) + (sqrt(729) - (sqrt(729) - 2*sqrt(729)*-1))) + -2)*2.\nAnswer: -4 + 23*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -1. Let d = 50 - u. Calculate the least common multiple of d and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -241? (a) -3 (b) 1\/2 (c) -2 (d) -0.3 (e) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355512.\nAnswer: 2, 3, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33578753.\nAnswer: 13, 2582981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(76) + (sqrt(19) - sqrt(76)*-6)**2 + ((sqrt(2793)*-2)\/sqrt(3))**2.\nAnswer: 2*sqrt(19) + 6939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3704161436 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(304) + 0 - sqrt(19)))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 - -177 - ((0 - 6) + 61)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/4 - 4*f**2 + 6*f + 9. What are the prime factors of a(5)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from qpkwuqupkuupwpqqsqqw.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(30)\/sqrt(3)))\/(sqrt(441) - 2*sqrt(441)).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5 + 6*j**4 - 3*j**3 - 6*j**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24372694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.2 (c) -39\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2720 and 11360?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -670709\/220 - -12193\/4. What is the common denominator of u and -33\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026012577?\nAnswer: 27773, 72949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.099 + -63. Round y to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*j**2 - 1\/3*j + 2\/3.\nAnswer: -(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w*w**(-1\/26)*w)\/w)\/(w\/w**4))\/(w*w*w\/((w**(4\/15)\/w*w)\/w)*w*w*w**(-9)\/w) assuming w is positive.\nAnswer: w**(3989\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4060405320 to the power of 1\/3, to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 15. Give v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b**3 + 2*b)*(282*b**2 + 285*b**2 + 1 - 570*b**2).\nAnswer: -6*b**5 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 37. Suppose 3*y = -0*y + v. Suppose y*d - 12*d + 2 = 0. What is the third smallest value in -3, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -18.059\nAnswer: 252.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119534 is divided by 9819.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5 + 7. Let u = 2 - 4. Let q = o - u. Is q equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 16*s + 12. Let o = 534 + -540. Let r(f) = -14*f - 11. Let t(k) = o*q(k) - 7*r(k). What is t(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 36 = -2*i. Calculate the remainder when i is divided by 64\/180*9*(5\/2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -2*d + 0 + 0*d**2 + 1\/3*d**3. Let q(x) = -144 - 146 + 436 + 36*x**2 - 146. Determine q(i(o)).\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t - 24*t + 125*t - 23*t - 24*t - 22*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/11)*i)\/i**(-9))\/(i*i**(2\/11)*i**(4\/3)))**(7\/9) assuming i is positive.\nAnswer: i**(161\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:59 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.063 to one dp.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6719 in 7, -2\/5, 1\/731, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + (-6 - -5) + 4 + 1 - -14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = -5*c - 2*b + 240, 2*c + 5*b = 264. What is the highest common divisor of 858 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((574\/(-28))\/(-41))\/(2\/52).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - f**2 + f**2)*(2*f**2 + 0*f**2 - f**2) - 3 - 4*f**5 + 3.\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/30)\/(((-150)\/(-8))\/5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -33046.\nAnswer: 5\/33046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10216, -1, 0, 2 in ascending order.\nAnswer: -3, -1, 0, 2, 10216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6040 + -42285\/7. What is the nearest to 0.1 in 0.5, -3\/7, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -29. Suppose 11 + 29 = -j*f. Let d be (-1 - 2\/f)\/1. Sort d, 1, -0.5 in descending order.\nAnswer: 1, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12*x = -7*x - 411, -3*m = 3*x - 1173. Suppose 305*v - m = 303*v. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from lssflmlmmd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8470000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5422.5 - 5422. Which is the nearest to -11? (a) y (b) 0.4 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59950, -119838, -179726, -239614?\n\"Answer: -59888*z - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 142*s**2 + 139*s**2 + 389504*s - 779004*s + 2 + 389500*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 - 4*s - 21. Let o be t(6). Let m be 1\/((24\/o)\/8). What is the greatest common factor of m and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h - 74. Let c be i(9). Suppose -4*v - 50 = -290. Let y = v - c. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3556972*t + 99 - 99 + 3556967*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24 = 2*v, 0 = 4*v - 2*v + 8. Suppose -2*w - 120 = -12*w. Calculate the least common multiple of f and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513 a factor of 5147312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, -5, 128, -3, -4, 2 in increasing order.\nAnswer: -5, -4, -3, 2, 5, 23, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-8)\/(-4))*-1. Suppose 23 = s*l + 13. What is the remainder when (-1 - (-78)\/2)\/2 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1552.57.\nAnswer: -6210.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 1187*j**7\/21 - 49*j**4\/6 - j**3\/3 + 2*j - 156. Find the third derivative of n(b) wrt b.\nAnswer: 142440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -307, -316, -287, -202, -43, 208?\n\"Answer: 3*o**3 + o**2 - 33*o - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357 and 42?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1067\/1530 - 91\/306. Let r = 1.4 + -0.5. What is the closest to r in -0.1, w, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:46 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 138532 divided by 505\nAnswer: 138532\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000083115486 to 7 dps.\nAnswer: -0.0000831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17673274 and 20776?\nAnswer: 3463961704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 5, -4\/5, 181?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874331243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3474915779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 0 + -4 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 4041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 177*n + 14850. Calculate d(-84).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {y: 1, c: 1, k: 9, b: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6962026?\nAnswer: 2, 179, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200200112 (base 3) in base 15?\nAnswer: -9d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/120 - 7*b**5\/60 - 11*b**4\/24 - b**3\/3 + b**2. Does 21 divide p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 346, -4, 5, -3 in descending order.\nAnswer: 346, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 77. Suppose -o + 6*o = r. Suppose o*z - 110 = 3*z. What is the highest common divisor of 176 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13032600 or -13032606?\nAnswer: -13032600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 336*u**2 + 19380*u - 309808.\nAnswer: (u - 268)*(u - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 w when four letters picked without replacement from {p: 9, l: 1, w: 10}.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/9 + 200*b - 9100\/9.\nAnswer: 4*(b - 5)*(b + 455)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334224 by 1584.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-6)*(-90)\/(-7). Suppose 0 = -5*d + 80 + m. Calculate the remainder when d is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.1 + -53. Which is the biggest value? (a) w (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -20, p + 6541 = 28*t - 26*t. Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.029 in 0.16, -0.04256, -0.6?\nAnswer: -0.04256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, e: 5}. Give prob of picking 2 t and 2 e.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 + -35d15?\nAnswer: -35d47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(0*o + 8*o + 5*o) + 4*o - 2*o - 4*o + (0*o + 2*o + 0*o)*(-3 + 1 + 0) + 2 + 2*o - 2 - 3*o + 3 - 3.\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 66*g**2 - 756*g - 115. What is o(-10)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130027221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -21 + 3 + (7 - (4 - 6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2477000 divided by -5.\nAnswer: 495400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in -1, -7, 3\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*r - 19*r**2 - 117*r + 17*r**2)*(-6 + 2 - 3).\nAnswer: 14*r**2 + 1323*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 20*x**2 + 66*x - 35. What is s(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 110 = 5*n + 127, -4*n - 2 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0.7, -883, -4.\nAnswer: -883, -4, -2, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 121*d**2 + 13*d + 83*d**3 + d**4 - 141876 + 141846 + 4*d**4 = 0.\nAnswer: -15, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 794442 * -0.029\nAnswer: -23038.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2725, 15, 4 in ascending order.\nAnswer: -2725, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 6. Let y be o(-7). Solve -i + 2 = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -17330822\nAnswer: 1733082.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3269510468.\nAnswer: 2, 7, 953, 122527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 22*q - 13 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1768 and 14824?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33252551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n - 15. Let p(k) = -8*k + 14. Let y(q) = 4*o(q) + 5*p(q). Let m be y(-13). What is the tens digit of 88\/(-11)*m\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500*q + 1598*q = 38514. Let s = 256 - 138. Let x = q - s. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*t + 801*b*t + 16*t + 320 wrt b?\nAnswer: 2*b*t + 801*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 168 = 212. What is the remainder when 15 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*u - 14848 + 3709 = 0. What is the remainder when 712 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -5c971?\nAnswer: -5c979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020113 + 1022002?\nAnswer: -332111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 845995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.11, -0.1, -2, 0.5, -4 in decreasing order.\nAnswer: 0.5, -0.1, -2, -2.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-5713)\/2465 - 4\/(-34)). Which is the second smallest value? (a) -3\/4 (b) 2 (c) 2\/43 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990027 (base 10) in base 6?\nAnswer: 110353031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.38+-0.029\nAnswer: -4.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*b + 25*b + 80*b**4 + (6*b**3 - 4*b**3 + 0*b**3)*(0 + 2*b + 0) as c*b**3 + o*b**2 + z*b + g + r*b**4 and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2\/169))\/h)\/h**(-33))\/(h**7)**(1\/9) assuming h is positive.\nAnswer: h**(49028\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*x + 4*c + 4079 = 215*x, -4*c = 4*x + 3260. Which is smaller: x or -816?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2255553 - -1?\nAnswer: -2255552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Is k smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-64)\/48 - ((-41088)\/(-18))\/(-8). Calculate the highest common factor of z and 3266.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717.732 minus 404189649?\nAnswer: -404191366.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6*w = 15, w = -4*h + 517. Let x(y) = y + 2. Let t be x(2). Suppose -l + 3*z = t*z - 120, z + h = l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 5 - 5)*(0*g + 5*g - 4*g + (7*g - 4*g + 0*g)*(0 + 0 + 2)) as r*g + b + z*g**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 99, 150, 201?\n\"Answer: 51*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 55 = -3*z - 48, 25*z = n + 49 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/2 - 185*y + 26291\/2 = 0.\nAnswer: -431, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.901668*1\nAnswer: -2.901668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 4, y: 4, n: 2}. Give prob of sequence yn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3874524474.0000171 - -3874524314. Let j = -230 + 390. Let c = z + j. What is c rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.5831mm in nanometers?\nAnswer: 79583100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 + 1)*(0*h + 0*h - 2*h) - 5 - 2*h + 5)*(0 - 1 + h + 2) as s*h + d*h**2 + b and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 6*u + 10. Let q be s(-7). Factor q*t**2 + 3*t - t**2 - t.\nAnswer: 2*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22888550 bigger than 22888550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135377962 and 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 5. Let j(c) = c**2 + 1. Suppose -2*n = 1 - 5. Let l be j(n). Calculate k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x\/(x\/((x*x**(-6)\/x)\/x*x)))\/x*x*x**(-6\/5) assuming x is positive.\nAnswer: x**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**13))\/w)\/w**(3\/8))**25 assuming w is positive.\nAnswer: w**(-2875\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107\/8? (a) 0 (b) 5 (c) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*3 - -13. What is the remainder when 109 is divided by 3*(44\/w)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-34 - -53 - (-1 + 13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14 + (-61)\/(-21) + -4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971614981?\nAnswer: 7, 281659283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114513.\nAnswer: 3, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9)\/l)**(-2\/129))**(-1\/11) assuming l is positive.\nAnswer: l**(-14\/12771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.61 - 2.11. What is the second biggest value in 4, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1350)\/45*2\/(-66) and -2 - ((-101)\/6 - -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 8*f**3 - 4*f - 7*f**3 - 15*f**3 + 29*f**3 as g*f**2 + t + a*f + h*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 9*i - 13. Calculate p(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 112858 * 0.627\nAnswer: 70761.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18205140 + -9855145. Let p be 1\/(5 - (-144)\/(-30)). Suppose p*f - q = v, 10056178 = -2*v - 3*f - 6643825. Round v to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5*l**2 + 2*l. Let k be o(-4). Let p = 4 + k. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40073340 to the nearest integer?\nAnswer: 6330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 41 = -3*h, 2*h + 103 = -4*d + 131. Let u(p) = -5*p + 66. Let n = 10 + 10. Calculate the remainder when n is divided by u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 16*z**2 + 2*z + 30. Let u be s(-16). Let m(y) = 3*y**3 + 2*y**2 - 2*y - 2. Give m(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeseessessee.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - a - 11 = 0, -2*v + 6*a + 29 = a. Suppose v*o = 5*o. Suppose o = -4*k - k + 235. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*y + 7*y - 48, -72 = -3*k - 5*y. Calculate the remainder when 2445 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**5\/4 + 153*u**4\/2 + 1749*u**3\/4 - 11727*u**2\/2 - 1761*u + 22230 = 0.\nAnswer: -95, -13, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 3 - (-2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2)*4 - (-105 - -110). Let r(z) = -z**2 - 10*z + 16. Determine r(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -63. What is the greatest common divisor of d and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.51 - -0.61. Let n = -1.2 - -0.9. Let w = 0.1 - n. Put w, 3, 1\/7, u in increasing order.\nAnswer: u, 1\/7, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (-2*sqrt(1008) + -1 + -2)**2).\nAnswer: 576*sqrt(7) + 16156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65368.\nAnswer: 2, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 58*r - 448. What is the remainder when 1277 is divided by l(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 5. Let f be y(-2). Let v(j) = 4*j**2 - 9*j - 5. Let q be v(f). Solve -4*b = -0*b - q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 + 95. Let s = d + 55. What is the nearest to -0.1 in -3, 10, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 7*w + 184 = 22*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -11*r**3\/3 + 17. Let z(f) = 2*f. Give t(z(v)).\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -344705 by 68941.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -52. Suppose 2*x - 818 = -2*s, 2*x + 490 = 2*s + 1300. Let k = x - 273. What is the remainder when k is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -59. Suppose -4*r = -2*r - 74. What is the remainder when r is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 8. Let h(l) be the first derivative of l**2\/2 + 4*l - 178. Let g be h(m). Let c(t) = t**3 + 6*t**2 + t + 4. Give c(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2*-4 + 1*(sqrt(190) + sqrt(190) + sqrt(190)*-1) + sqrt(190))\/(sqrt(360)*-2*4) + -3.\nAnswer: -3 + sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -101948\nAnswer: 5\/101948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -9. Suppose -f*n = -5*n - 20. Calculate the remainder when 38 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 975049561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s + 4 = -5*c, -4*c = 4*s. Let z(p) = p**3 - 5*p**2 + 3*p - 1. Calculate z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -60, -85, -120, -165?\n\"Answer: -5*s**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -4) + -4 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2099 - 759 + 499)*(2 - 2 + 3*z) to b*z + y and give b.\nAnswer: -7077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 1\/4, -1\/776, -1\/2, 4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 5*b**3\/3 - 829. Let a(p) = -31*p. Give a(u(w)).\nAnswer: -155*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -212021220222112 (base 3) to base 11\nAnswer: -6a956a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let c = u + 5. What is the second biggest value in -5, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-11) - 40\/22. Put 27, 1, b, -5 in increasing order.\nAnswer: -5, b, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20*p**3 - 30*p**2 - 30*p - 30. Let t(j) = -j**3 + j**2 + j + 1. Give -b(w) - 30*t(w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8139*b + 7 + 1 - 22 - 17 - 8137*b - 3*b**3 to the form d + x*b**3 + k*b**2 + h*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -287*n + 420. Let b(r) = -18*r + 26. Let a(y) = 49*b(y) - 3*q(y). Give a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2347 times 0.36\nAnswer: -0.084492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11485 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12*a\/a**(-4\/13) assuming a is positive.\nAnswer: a**(173\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - (-4*sqrt(209) - sqrt(209))))\/sqrt(11) - (1*sqrt(190))\/sqrt(10).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-218)\/(-74) + -3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29437 + -88309\/3. Which is the closest to n? (a) 0.19 (b) 0.2 (c) 2\/15 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 3 - (-112)\/58. Let f = 322.3 + -310.3. Does t = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 + n - 1. Let x be i(1). Let m(z) = -6 + 0 + x - 6*z. Let s(w) = w + 3. Let l be s(-4). What is m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:54 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(15\/((-75)\/4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 1, 9\/11, -3117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 1. Let o be t(-1). Suppose -4*y - 50 - 2 = -2*a, 0 = o*a - 3*y - 49. What is the greatest common factor of 50 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43305055 (base 6) to base 16\nAnswer: -13983b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 243500*n. Let o(z) = 4*z**2 - 24*z - 8. Let b be o(7). Let l be d(b). What is l rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 786729?\nAnswer: 110142060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*w = -18, 11*n + 66 = 648*w - 644*w for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + 4*sqrt(3) + 2)*-6.\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1417263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(24\/(-12) - -3). Suppose 14 = -5*m + x, 4*m - 5*x + x + 8 = 0. Is h >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59\/113264959092 - -74580559701121656409\/429613989835956. Let t = b - 173599. Let w = t - -367873\/30344. Find the common denominator of -73\/18 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 20100022021210?\nAnswer: 20100022021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 78 = 14. Find the common denominator of -1 + 2*a\/(-18) and -71\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-5)\/((-15)\/(-6)). Let r be -1 - f - (-6)\/(-10). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -2*h + 4*w + 5001, 4*h - 9981 = -3*w. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 - 3*x**2 + 6 + x**2)*(2 - 3 + 4) as k*x**2 + f + z*x and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -22*o + 74. Calculate y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (0 + sqrt(192))*1 + sqrt(192) - ((5 + (sqrt(192) - (1 + sqrt(192))) - sqrt(192)) + -4)) + 3 + 4)**2*-3.\nAnswer: -5211 - 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(30)\/(sqrt(10) + sqrt(20)\/sqrt(2)) - (sqrt(18)\/sqrt(6) + 2))**2*-2.\nAnswer: -19\/2 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -0.28. Let d = -18.4 - -19. Let w = d - f. What is the second smallest value in w, -0.2, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 66987.\nAnswer: 133974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.0456 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4940043 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*b*r*v + 2*b*r + 66*b*v + 52*b + 1679*r*v - r - 73*v - 1 wrt r.\nAnswer: -20*b*v + 2*b + 1679*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 6*r**7\/7 - 58*r**6\/15 + 24*r**5\/5 - 4*r**4\/3 - 21*r + 1. Let b(q) = 0. Calculate q.\nAnswer: 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21841579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12060 and 4690.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 31*q**3 + 320*q**3.\nAnswer: 289*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -729, 0.4, -0.7 in descending order.\nAnswer: 12, 0.4, -0.7, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702?\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -1592, -3578, -6350, -9902, -14228, -19322?\nAnswer: -25178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -6)*-1*(5 + -2). Let n be (2 + 2)\/4*3\/v. Let l be ((-1)\/(-9))\/((-8)\/(-12)). Which is the third smallest value? (a) 1 (b) l (c) -0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -c + 184, -27*x = -31*x - 3*c + 736. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1399440 and 50.\nAnswer: 6997200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5153500 (base 6) to base 8.\nAnswer: 745054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 681*k - 690*k - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*k - 14, -5*n - 7 = -4*k + 17. Let h be (-32)\/12*9\/(-6). Let i(r) = 4*r - r + 2*r + k - h*r. What is i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*132\/462*(-154)\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3849789 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*n + 19, 0 = 2*q + 2*n - 1 - 5. Let u = 7.2049 + 0.0651. Let f = 0.27 - u. What is the biggest value in f, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 34474\nAnswer: 5\/34474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16522 divided by -1502.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + -39 + 43 + 75 + -10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*g + 4*w, -g + 4*w - 33 = -2*g. Let r be (-2)\/(-13) - (-37)\/g. What is the highest common divisor of r and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**5\/3 - 45*x**4\/2 + 40*x**3 + 215*x**2\/6 - 25*x = 0?\nAnswer: -15, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -302, -0.3, -1.5, -0.08, 0?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 251*c - 299718. Give j(-277).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177958 is divided by 353.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 4650681*i**2 - 9301359*i + 4650679.\nAnswer: -(i - 4650679)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6212 + 6206. Let s(a) = 22*a + 136. Give s(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*q - 9 - 3 = 0, -3*q + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 - 13*n**2 - 11*n**2 - 81*n**3 + 47*n**2.\nAnswer: -81*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -349*z**2 + z**3 + 2*z + 345*z**2 + 10 - 8*z. Let k(y) = y + 11. Let u be k(-6). Let t be c(u). Solve 0 = -4*j - 3 - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k**4 - 4*k**4 + k**4)*(-22 + 17*k + 22) + 3 + k**5 - 1 - 2*k**5.\nAnswer: 101*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, x: 15}. What is prob of picking 4 x?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let s be c(-5). Let w be (-8)\/20 - (-154)\/s. Calculate the remainder when (w\/6)\/((-1)\/(-6)) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 12:57 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**2*l**3 + 2*i**2*l**2*y**2 + 12*i**2*l*y**2 - 664*i**2*y**2 + 3966*i*l**4*y**2 + 2*l**2 wrt l?\nAnswer: 36*i**2 + 95184*i*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/22 + (-160)\/88. Is -6 - -8 - (o - 67) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*h**2 - 134345*h + 134345*h.\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**7\/210 + 23*r**5\/60 + 151*r**4\/4 - 263*r**2. What is the second derivative of u(b) wrt b?\nAnswer: -12*b**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92311906.2 to the nearest one hundred thousand.\nAnswer: 92300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*a**2*g**3 + 12*a**2*h**2 + 43687*a*g**3*h**2 - 552*g**3*h - 2*g**3 - g**2 wrt h.\nAnswer: 24*a**2 + 87374*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -1. Let x = 5 + z. Is 1 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8813)\/6295*(-3)\/((-840)\/(-16)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(1 + 2*n - 1) + 3*n - 5*n + 0*n + n to w*n + h and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-42) + 2\/7)*0. Let l(k) be the first derivative of -1\/21*k**6 + 0*k**5 + d*k**3 + 2 + 0*k + 1\/7*k**4 - 1\/7*k**2. Factor l(q).\nAnswer: -2*q*(q - 1)**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -261*j - 243. List the prime factors of n(-7).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 6*z**3 - 4*z**2 - 2*z**2 + z - 7*z**3. What is t(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + m - 6, -5*r - 39*m + 35*m = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 44446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*p + 1 - 0, 2*p = 4*o - 10. Let w = 43\/2 + -22. Which is the closest to -1? (a) o (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -1.7 (c) 4.2 (d) -9\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48159952 is divided by 245714.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4584)\/2016*7 + 19 - -1*(-1)\/(-4).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 5*n**4\/4 - 3*n**3\/2 + 8*n. Let a(x) = -7*x**2 + 4*x. What is -9*a(v) - 4*j(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 3*r - 2*r + 0 + 1 - 6*r - 8*r + (-2 - 3 + 4)*(-r - 2*r + 5*r).\nAnswer: -17*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Suppose 0 = -2*o - 16*o + 54. Suppose -2*i = 2*f + 12, -o = 4*i - f + 6. What is the second smallest value in i, y, -4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.944798mg in tonnes?\nAnswer: 0.000000009944798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*(-6)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/170618 or 0?\nAnswer: 3\/170618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -44547426 (base 8) in base 13?\nAnswer: -1cbb379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1098 = 5*m - j, 2*m = -2*j + 4*j + 436. Is (4\/5)\/(8\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 n when four letters picked without replacement from sssassssssnsaaaas?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - (22 - 69)) + 18 - -58.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2212 = -1720*z + 1668*z - 1536 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1033 = -57*d + 461 - 568 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -23. Which is the nearest to -1? (a) l (b) 10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zclccczlczll. Give prob of sequence zll.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124184, -247378, -370570, -493760?\nAnswer: -616948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.39 - 85. Let z = -0.01 - t. Let y = -0.1 + 2.1. Sort -4, z, y in decreasing order.\nAnswer: y, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149782 = 11291*m + 53*m - 830422 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185189*s**3 + 258*s**2 + 39?\nAnswer: -1111134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 24. Suppose -5*i - 699997 = f*o + o, -4*i + 5*o = 560005. What is i rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*m = -g - 24, -3*g + 5*m = 31. Does 16 divide 32 + g + 5 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*n**2 - 243*n**2 + 95*n**2 - 343*n**2.\nAnswer: -1057*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from cbubuubbubbtb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 0. Let p be 0*(-2 + 3\/2). Suppose p = 5*n + 4*h, 0*n = -2*n - 4*h - 12. Solve n*y = -v*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 14*s**3 + 7*s**2 - 6*s + 3. Let k be i(2). Let l = 179 - k. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**3\/2 + 89*v. Let x(c) = -c**2. Calculate x(p(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 a factor of 38200059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 84\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 140*w + 2 - 277*w - 2 + 136*w. Let i(l) = -54*l**2 - 5*l - 5. Let d(f) = 27*f**2 + 3*f + 3. Let k(x) = 5*d(x) + 3*i(x). Give k(a(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -7333?\nAnswer: -24\/7333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20090084 or -20090080?\nAnswer: -20090080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*c - 8 = 0, 159*i = 156*i - 3*c - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 93*t + t**2 + 22064219*t**3 - 22064217*t**3.\nAnswer: 2*t**3 + 93*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + -5 + -5 + (-5 + sqrt(832) + 2*sqrt(832))**2)*-2.\nAnswer: -15018 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2070816 and -19\/231.\nAnswer: 14495712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.5802118 + -951.\nAnswer: -960.5802118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwjh when four letters picked without replacement from jwlqbhwh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/6 + 443*f**3\/3 - 442*f**2 - 218*f + 2. Determine s so that h(s) = 0.\nAnswer: 1, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84578230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -481*f**2*z**3 - 2*f*z**3 + 3*f*z + 4*f wrt f.\nAnswer: -962*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9378 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u + 36 = 0. What is the units digit of (-46)\/(-6) + 4\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.3 - 8.7. Let m = h + 68.93. Which is the second smallest value? (a) 0 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 643?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28 - 0) + 0 - 0. Let n be (-9)\/6 + w\/8. Suppose -55 - 83 = -n*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(-3\/5)*m))**(9\/2)*((m\/m**(-2\/15))\/m*m*m)\/m**(-6) assuming m is positive.\nAnswer: m**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(320)*3 - ((sqrt(3200)*1 + sqrt(3200))\/(1*sqrt(250)))**2.\nAnswer: -256\/5 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/550 and 137\/2750.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + -0.26. What is the second smallest value in 5, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9354 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -2, 172 in descending order.\nAnswer: 172, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-2142)\/(-144))*(154\/(-4))\/11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 84. Let g be 1*s - ((6 - 11) + 1). Sort -3, g, 2, 5 in increasing order.\nAnswer: -3, 2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*u**3 - 6*u**2 - u - 29 wrt u.\nAnswer: -96*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2 - 3*r + 8. Let s(j) = 7*j**2 + 4*j - 9. Calculate 6*l(g) + 5*s(g).\nAnswer: -g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**2 + x. Let k be y(2). Let s = -4 - k. What is the third derivative of -3*h**2 + 0*h**2 + 5*h**6 - 2*h**s wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5901*a*l**3*w + a*l*w + 6*a*l - 2*a*w - 7*l**3*w + 277*l*w wrt l?\nAnswer: 35406*a*l*w - 42*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 49*z**6\/150 - 28*z**5\/75 + 2*z**4\/15 - 3*z**2\/2 - 4*z. Let n(q) be the first derivative of i(q). What is k in n(k) = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 97 = -0*w + 3*w, -2*w + 43 = 5*x. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1058, -925, -702, -389?\n\"Answer: 45*r**2 - 2*r - 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -428e5 (base 16) in base 15?\nAnswer: -55b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.07, -11, -1\/141, -138, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-10 - (-5 + 1)) + -17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -45. Let b be 6\/4*(-14)\/567*r. Suppose b - 2\/3*y + 1\/3*y**2 = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239435, 479450, 719465, 959480, 1199495?\nAnswer: 1439510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.086 (b) 6 (c) -32 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*f = 0, 4*d + 2*f = f. Suppose -10 = -d*y - 2*y. Let o(r) = r**2 + 12*r + 15. Let m be o(-11). Is y at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*v - 72*v + 25*v**2 + (2 - 2 + v)*(-2*v - v + v) - 11*v**2 + 1 - v - 18*v**2 + 30*v**2 as n + f*v**2 + r*v and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.42.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let z(c) be the first derivative of -7*c**5\/60 - c**2\/2 + 2. Let g(p) be the second derivative of z(p). Determine a(g(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2261*u**2 + 4072.\nAnswer: 4522*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + y)*(2*y + 0*y - 3*y) + 12*y**2 + 35*y**2 + 2*y**2 + 0*y**2 - y**2 + 3*y**2.\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19521, -79378, -179139, -318804, -498373, -717846?\n\"Answer: -19952*o**2 - o + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-28)*((h**(-5)*h)\/h)\/(h\/h**2)*(h**(-2\/7)\/h**3)\/h**37 assuming h is positive.\nAnswer: h**(-506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 minus 0.7946833?\nAnswer: -1.0746833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -17245 at most as big as -17241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:42 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781 divided by 80?\nAnswer: -1781\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25549223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/(-375))\/(12\/30). Suppose 3 = -3*j + 18. Suppose 5*r + 40 = -j*x, -r = 3*x - 7*x - 7. Which is the nearest to x? (a) 0.4 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hehg when four letters picked without replacement from {y: 3, g: 3, h: 1, e: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3238*z + 3237*z = -18. What is the remainder when 728 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75159401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -8.9. Let d = j - 8. Let t be (-10)\/15*(-9)\/10. Which is the closest to d? (a) 0 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 2. Let w(v) = 10*v - 7. Calculate f(k) + w(k).\nAnswer: 11*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w + 98. Let y be j(-9). Let a(u) = -y*u + 6 + 8*u + 2*u. Calculate a(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-3 + sqrt(20))\/sqrt(10)*-1.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24486 and 96096?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 0*k - 2*k - 3 + 3 - k - 3*k + 3*k + 2*k - 2*k + 2*k - k + (-5 - 2 + 5)*(k + k - k) + 24*k + 162 - 175 + 20 in the form n + i*k and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**3 + 5*b**2 + 5*b - 8. Let z(v) = 9*v**3 - 6*v**2 - 6*v + 9. Give 7*i(s) + 6*z(s).\nAnswer: -2*s**3 - s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49860 by -148.\nAnswer: -12465\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, b: 2, q: 1, r: 4, n: 1}. What is prob of sequence nri?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/407 - -26471\/1628. Suppose 17*s + 86435 = -59425. What is the common denominator of 1\/7 + s\/(-19320) and p?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -26*u + 82. Let k be h(3). Suppose x - k = -5*d, -16 = -4*x + 16*d - 17*d. Solve 0 = 7*i - 6*i + x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -22.4. Which is the closest to -1\/3? (a) 4 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.104 + -12.74. Round o to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 28\/182 + ((-18270)\/(-65))\/6?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglqgllqqlfqququfq. Give prob of picking 1 u, 1 g, and 1 q.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120072?\nAnswer: 2, 3, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1893*t**2 + 1904*t**2 + 1899*t**2 - 11385*t**2 + 1903*t**2 + 1900*t**2 + 1902*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 15*p + 102. Let r be u(20). Let o be (-54)\/(-180) + 117\/10. Solve 5*k + 2*w = 21, r*k - w - o = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (11 + -8 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 38*n**2 + 51*n - 153. What is the units digit of m(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(12\/18)*6. What is the highest common factor of k and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 times 0.03629?\nAnswer: -23.76995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-33 - 61068\/(-1386)) + 4\/(-3))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10922, -22057, -33192, -44327, -55462, -66597?\n\"Answer: -11135*x + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*s + 8 = 0, 0*k + k = -3*s + 4. Solve -1 = b - 2*b - 4*a, -4*b + 4 = k*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69, 413, 1175, 2217, 3539, 5141, 7023?\n\"Answer: 140*l**2 + 62*l - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(275) - (-5*5*sqrt(275) + sqrt(275)) - (3 + sqrt(275) + -5*sqrt(275) - sqrt(275)))*4)**2.\nAnswer: -28800*sqrt(11) + 7920288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -2)\/((-185)\/851). Let h be 2066\/6 - (-6)\/9. What is the greatest common factor of t and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -618, -905, -858, -477?\n\"Answer: 167*z**2 - 788*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*c + 18*c**2 - 7*c**2 + 7 + 29 - 203*c.\nAnswer: 11*c**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13719.\nAnswer: 3, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*(-88)\/(-30). Let y = n - 93\/20. Let j = 2 - 1.7. Which is the second biggest value? (a) y (b) j (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:02 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35b (base 14) to base 11.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 30885020*d - 119235557550050 = 0. Calculate d.\nAnswer: -7721255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 5064*j**3 - 10112*j**2.\nAnswer: -4*j**2*(j + 2)*(j + 1264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2, -0.5502?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-3*3\/12)\/(63\/(-42))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o - 11. Let t be k(-7). Let a be (-24)\/t*(-3)\/(-2). Let z(d) = -d**2 - 5*d. Let l be z(-5). Which is smaller: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + v - 2*v - 4*v in the form k*v + q and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -187, -341, -743, -1513, -2771, -4637, -7231, -10673?\n\"Answer: -20*r**3 - 4*r**2 - 2*r - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85.8 - -0.2. Let g = -86.96 + u. Let f = g - -0.93. What is the third biggest value in -5, 4\/3, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Let s(v) = -v**3 - 3*v + 5*v**2 - 2*v**2 - 4 + 4*v**2. Is s(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1\/3 (c) 0 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1303\/4 + -322. Calculate the common denominator of q and 0 + 0 - 150\/27.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25924449, 51848955, 77773461, 103697967, 129622473?\nAnswer: 155546979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5374199691?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -227878, -455784, -683720, -911686, -1139682, -1367708?\n\"Answer: -15*k**2 - 227861*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175678457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -283839515?\nAnswer: 283839515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125 - 0?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -602290.580171 + 602647.58. Let f = -357 + l. Round f to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -146*d**2 + 146*d**2 - d**4 - 7*d**3 - 4*d**4 + 27*d**3.\nAnswer: -5*d**3*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtdwwdwtmwtdwdtmtt. Give prob of sequence wtdt.\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 126, 1445, 5166, 12489, 24614, 42741, 68070, 101801?\n\"Answer: 200*x**3 + x**2 - 84*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1288 and 5148.\nAnswer: 1657656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 4, k: 2, c: 1}. What is prob of picking 2 k and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -90587506?\nAnswer: 90587506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-6)\/(-2)) + 1. Let m be (k\/4)\/(1\/(-37)). Suppose z - m = -5*g, z + g + 41 = 3*z. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f**3 + 3*f - 16. Let x(j) = -9*j**3 - 3*j + 16. Give 2*n(y) + 3*x(y).\nAnswer: -3*y**3 - 3*y + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roqj when four letters picked without replacement from {r: 2, o: 9, z: 2, q: 3, j: 1}?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -41, -129, -293, -557, -945, -1481?\n\"Answer: -4*s**3 - 2*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(5\/3)\/(l\/(l\/(l**(-9\/2)\/l)))*(l**(-4)*l)**18 assuming l is positive.\nAnswer: l**(-281\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4074736.9999965 - 4074735. Let o = g - 2. What is o rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 797669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 - 106. Let t = a - 54. Let q = 27 - t. What is the nearest to 0.2 in q, -1\/10, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w**3 - 366*w**2 + 4829*w - 1350 = 0 for w.\nAnswer: 2\/7, 25, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(18 - 0) - -1. Let g be 10\/210 + (-65820)\/(-315). Calculate the greatest common divisor of g and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from tbtbbbt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)\/(v*v\/(v**(6\/13)*v)))\/(v**(-7)*v**(1\/2)) assuming v is positive.\nAnswer: v**(3617\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 56726877.\nAnswer: 113453754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**2 - 1 + c**2 + 10*c**2 as v*c**2 + k*c + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 10*u - u to i + t*u and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37663725.179834 - -0.2.\nAnswer: 37663725.379834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3308.2 + 3026. Let x = p - -50.2. Let h = -231.999524 - x. Round h to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Let h be (21 - 49)*(-123)\/k. What is the remainder when h\/18 - 3\/(-18) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*s - 3*d + 2509 - 2614 = 0, 5*d = -s + 5 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (679\/(-49) - -16) + (-1)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - s + 1. Suppose 17*n = -10*n - 81. Let w(k) = -2. Let z(v) = 1. Let l(x) = 4*w(x) + 9*z(x). Give n*l(b) - d(b).\nAnswer: 2*b**2 + b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (20\/8 + -1)\/((-9)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3867, 16369, 37523, 67329?\n\"Answer: 4326*j**2 - 476*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349.2 - 344.2. Sort k, 1\/3, -3, -33, -1 in decreasing order.\nAnswer: k, 1\/3, -1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3820759?\nAnswer: 38207590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 - (27 + (31 - 28))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -5050?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -12. Suppose -g*u - p = -30 - 28, -u + 15 = -3*p. Is u\/1 - (4 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:17 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 63. Suppose -3*s = -3*m - 4*s + 75, 43 = 2*m + l*s. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 5*b**2 + 3. Let n be d(-5). Suppose -989593 = n*h + 1050407. What is h rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**(-1\/17)\/(x\/x**(-2\/3)*x**10*x) assuming x is positive.\nAnswer: x**(-637\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 250\/(7000\/(-140))*(-8)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 77*a**6\/30 - 26*a**3\/3 + 60*a**2 - 275*a. Let f(c) be the first derivative of v(c). Differentiate f(u) wrt u.\nAnswer: 924*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - 3) - (-1 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -7\/2 (c) -209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*c**2 - 1756\/11 - 1754\/11*c.\nAnswer: 2*(c - 878)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:21 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2125 + -3397. Let u = 6205 - k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4936\/(-5553))\/((-1)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1\/b**(-1\/4)*(b*b\/(b\/((b**(-1)\/b)\/b)))**(-10) assuming b is positive.\nAnswer: b**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.07 - 0.07. Let k be (-2)\/(-6) - 1\/3. Let m be -3*6\/99 + k. What is the third biggest value in d, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/171 + (0 - (-137)\/(-9)). Let x be (1 + (-35)\/z)*-71241. Is x\/(-110) - 4\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(70\/(-168))*(-20)\/3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -44, -85, -128?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471 divided by -1.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h**2 + 4*h + 5. Suppose 7*w - 9*w = 0. Let g be y(w). Solve 2*k - 2*o - 6 = 0, -g*o = 4*k - 3*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2 + 2)*(3 - 2 - 2 + (0 - 1 + 0)*(1 - 3 + 4) + 2 - 2 - 2 + 14 - 10 + 6)*(1 - 2*s - 1) in the form k*s + b + h*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 553 - 362. Let f = -191 + y. Solve -b + 5 = 5*v, 2*b = -3*v + 3 - f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 92454, 184929, 277408, 369891, 462378?\n\"Answer: 2*w**2 + 92469*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*(1 - 4). Suppose j*f = 6*f - 8. Suppose h + 104 = 3*y + 5*h, -f*h + 150 = 5*y. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Suppose 0 = -3*h + k*n + 33, 4*h + 3*n + 9 = 3*h. Suppose 3*s + h = -0*s. Is s < -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173033384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 0. Let z(y) = 11 - 9 + i*y - 5. Calculate z(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:25 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.9 + 10.34. Let q = -2817 + 2800.46. Let a = b + q. Round a to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 23. Let v be ((-20)\/t)\/((-4)\/(-6)). Suppose -5*s + v*k + 57 = -0*k, 4*s - 2*k = 44. What is the greatest common divisor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - 9.6. Let o = 263.6 - 258.6. Let q be (-1)\/(-2) + 15\/(-38). Put l, o, 2\/9, q in increasing order.\nAnswer: l, q, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 - 57*k**4 + 390*k**3 - 1050*k**2 + 375*k + 1875.\nAnswer: 3*(k - 5)**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8544 or -546901\/64?\nAnswer: -8544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.41361, 0.5, -36, 3\/7, -1\/6, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274 - -278. Suppose -3*d + l = -7*d. Which is bigger: -20\/13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*z + 84 = 0, 12 = 4*p - 5*z - 117. Solve p + 18 = -11*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 17331?\nAnswer: 225303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 - 2*g - 1. Let z be h(2). Suppose 4*x = 3*x + 5. What is the greatest common divisor of x and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*z - 229, 204 = 3*a - z - 2*z. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let k = q + 14. Solve 4*j + 4*g = k, -2*g = 5*j - 4 - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i - 2*i + 2*i + (2*i - 4*i + 0*i)*(0 + 1 + 1) - 3*i + 2*i + 2*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 700 = -51*v. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57252\/(-1040) + 54 - 1\/2*(-2)\/4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-26))\/(40\/130)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 125*v**6\/6 + 415*v**5\/3 + 1820*v**4\/9 + 1316*v**3\/27 - 400*v**2\/9 + 64*v\/9 + 2067. Solve n(t) = 0 for t.\nAnswer: -4, -1, -4\/5, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6 - 0. Suppose 0 = -2*y + y + b. Let r(i) = 6*i**2 - 4*i**2 - 4*i**y. Let u(d) = -2*d. Determine u(r(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -1 - (sqrt(108) + 5).\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/6*-1*2. Suppose 0 = -4*g + f*k, 6*k - 3*k - 7 = g. Let m = 60 - 47. Solve 2 = -g*u - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000202329036 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b1c1 (base 15) in base 13?\nAnswer: 31183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13242 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -21*v**3 + 11*v**2 + v. Let p(f) = -21*f**3 + 8*f**2 + f. Give -3*p(t) + 2*y(t).\nAnswer: 21*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16555260529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3*3\/(-153))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (4 - (1 + 1) - (-22 - -33))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/15*(-1)\/(8\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(((sqrt(242) + 0)**2*2 - (6*(sqrt(242) + 0))**2) + 3 + -4 + -1*sqrt(242)).\nAnswer: 110*sqrt(2) + 82290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 12*x + 22. Calculate y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45701*t = 45613*t - 6336 for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubs when three letters picked without replacement from {b: 2, s: 3, u: 9, y: 1}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/22 - (-57)\/(-231). Which is the smallest value? (a) -1\/7 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*t + 476 = -369, n - 173 = 5*t. Let s = n + 192. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 times 9?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2776462 - 4?\nAnswer: 2776457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1393*f*g*u**2 + 4*f*g*u - 1081*f*g - 162157*f*u - 396*u**2 wrt g?\nAnswer: 1393*f*u**2 + 4*f*u - 1081*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0.1, -1\/15, -5, 1\/3, 2 in increasing order.\nAnswer: -5, -1\/15, 0.1, 1\/3, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -14, -48, -84, -110, -114?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 3, v: 4}. What is prob of sequence vv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0 - 1)\/(-2). Let p(n) = -453*n - 1389. Let l be p(-3). Put 4, l, w in decreasing order.\nAnswer: 4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6202 and 29716883.\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -133450294, -266900582, -400350870, -533801158, -667251446?\n\"Answer: -133450288*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -33 (c) 3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**21*q)**(-13\/6) assuming q is positive.\nAnswer: q**(-299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 22*n**2 - 19*n + 19. Let d(q) = q**2 - q + 1. Let k(h) = 2*d(h) - w(h). Let v(t) = 7*t**2 - 6*t + 6. Calculate -6*k(b) - 17*v(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -63 (b) -63182 (c) 1\/3 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.1. Suppose -15 = -2*n + 9. Let m be -5*(5\/(-200))\/(2\/n). What is the second smallest value in -0.07, m, w?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -11*s - 34, -5*s - 68 = 4*v - 8 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 12*c + 15 = -34*c + 7*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n - n)*(-n**4 - 2*n**4 + 4*n**4) - 488*n**5 + 42 + 71 - 113.\nAnswer: -487*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 + 619*o**2\/3 - 2047*o\/2 - 4932.\nAnswer: -(o - 1233)*(o - 8)*(o + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010313 + -103?\nAnswer: 1010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Let i be b\/12 - 41514\/8. Let j = -1211 + i. What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13*c + 4. Let v be s(0). Suppose -4*b = 5*f - 45, -f + 26 = 3*b - 5*f. Solve -v*a + b = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 bigger than 4874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(185\/(-148))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 350275399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 12543.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*k + 4, 2*t + 3*k - 2 = -12. Let h be (-20)\/12*6\/t. Let r(o) = 3*o - h + 5. Let g(z) = -2*z. Calculate g(r(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:18 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -48\/7 + 50\/7*v - 2\/7*v**2 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqtqyyqq. What is prob of picking 2 q?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -325043, -650785, -976527?\n\"Answer: -325742*c + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2624 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -5, 1, -382, -3, -179 in descending order.\nAnswer: 4, 1, -3, -5, -6, -179, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (0 - (-37)\/(-19)). Let c = 50.8 + -46. Let l = c + -4.7. Put l, y, -1 in descending order.\nAnswer: l, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 6*s**3 - 2. What is the tens digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429218824 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*w + 2*r, 3*w - 4*r + 9 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7905, 5026, 217, -6528, -15215, -25850, -38439, -52988?\nAnswer: -69503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -11*j + 3*j. What is the remainder when (-1509)\/(-12) + 8\/32 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/4 - 11*s**3 - 363*s**2\/2 - 1331*s + 90. Suppose z(b) = 0. Calculate b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by 2.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 79. Let s = u + 29. Is 7\/6 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 258 = 3*a. What is the remainder when a is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114.5100369 rounded to the nearest 10?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -837, -1086, -1335, -1584, -1833, -2082?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 4222363?\nAnswer: 4222367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3325 * 3724.\nAnswer: 1238.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06093667 rounded to three decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 26 - 22. Let d(p) = -44*p**2 - 34*p + 1. Let i be d(-1). Is i greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86744813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325867815 + -0.004.\nAnswer: -325867815.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 38 = 7*z. Is 9 a factor of (5 - 76\/8)\/(z\/(-472))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:48 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382394, -764198, -1145414, -1526042, -1906082, -2285534?\nAnswer: -2664398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16119388.\nAnswer: 2, 4029847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 2 + 2 + c**3 + (25*c - 8*c - 10*c)*(-6*c**2 - 35*c + 35*c + 4 - 4 - 2*c**2 + (0 + 3 - 4)*(4*c**2 - 2*c**2 - c**2)).\nAnswer: -62*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) - (-87)\/(-105). Suppose -2*m - 14*z = -13*z + 1, 2*m - 4*z = -6. What is the nearest to m in i, 2\/13, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 679. Suppose 19*f - s - 16954 = 0. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 440121.9 millilitres?\nAnswer: 440.1219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.938.\nAnswer: 0.0938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-12 + 8)\/2). Solve -i*f = 5*f - 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 - 1662*d**4 - 15120*d**3 - 45522*d**2 - 45603*d = 0. Calculate d.\nAnswer: -3, 0, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 5 - 5)*(0 + 4 - 3) - 4*y + 10*y + y + (7 - 7 + 5)*(0*y + 5*y - 2*y) to l + t*y and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1308 - 2004*z + 1308)*(-3*z - 1 + 1).\nAnswer: 6012*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/2 + 15*u**4\/2.\nAnswer: -u**4*(u - 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10244 greater than or equal to 10132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87580769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrurjjujrjr. What is prob of picking 1 u and 1 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhchhhzchhdzchzbhsb. What is prob of picking 3 z and 1 b?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g - 147. Give h(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/4*2*(4 + -22). Let a(l) = l + 14. Let y be a(0). Calculate the greatest common divisor of q and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2520869\/1496 + 18543\/11. What is the common denominator of x and (-154)\/99*(((-656)\/(-136) - 3) + -2)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -57.2. Sort -2\/11, u, 5\/17 in descending order.\nAnswer: 5\/17, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + 1244\/48 + 5*1\/60 is divided by (-177)\/(-15) - (-1)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -19, -4, 17, 44?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:41 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -179, -320, -475, -650, -851, -1084, -1355?\n\"Answer: -f**3 - f**2 - 131*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 169 = -72*i + 601. What is the least common multiple of 1657 and i?\nAnswer: 13256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/27)\/z)\/z**(-3\/4)*z*z**(-7)*z\/(z\/z**(4\/7)) assuming z is positive.\nAnswer: z**(-4237\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14716*x**4 - 7*x**3 + 378*x**2 - 153707909 wrt x.\nAnswer: -58864*x**3 - 21*x**2 + 756*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -55*4\/(-32) + -7\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 282*l**2. Let h(c) = 1396*c. What is h(m(x))?\nAnswer: 393672*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 87*u - 51*u - 42 - 46*u. What is the units digit of f(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 17. Suppose -72 = -5*l + u. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1099, 1130, 1187, 1270, 1379, 1514?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 28*a**2 + 4*a - 32. Let k be r(-29). Let d = k - -2580. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 921128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 20 + 44. Let s = -18 + p. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*q + 5*h, -4*q + 4*h = -q + 23. Let y = -9 - q. Suppose 5*r - 3 - 7 = y. Solve -l = 1 + r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y + 23*y + 23*y - 4*y)*(-2 + 2 + 2*y) as t + x*y + o*y**2 and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 + x**2 - 3*x - 5. Suppose -5*r + 13 + 18 = -2*q, 2*r - 4*q = 22. Let j(i) = -5*i**3 - i**2 + 4*i + 6. Determine r*j(h) + 6*b(h).\nAnswer: -h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-6)*(-11412)\/(-10461)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 42*v**2 + 16. Determine b(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 165 + -55 + (-22 + -15 - 8)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (245 - 79 + 341)*(-2*w - 3*w + w) as g + q*w and give q.\nAnswer: -2028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7813945*-21\nAnswer: 164092845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19365 and 0.504.\nAnswer: -19364.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -290 - -297. Solve -10 + 3 = -s*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2246 - 5?\nAnswer: -224b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -746374.31 to the nearest one thousand.\nAnswer: -746000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 1}. Give prob of sequence ll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 679 + 679 + (-x + 4*x - 2*x)*(-5 + 2 + 1).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 3*i**2 - 3*i**2 + 109*i**2 - 116*i**2 - 91*i**2 - 3*i**2 + 5*i**2 + i**2 + (-2 - 2 + 5)*(-i**2 - 3*i**2 + 2*i**2) + 2*i**2 + 2 - 2.\nAnswer: -97*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.046\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 13. Let p(l) = -2*l - 25. Let s = 81 + -92. What is s*k(g) + 6*p(g)?\nAnswer: -g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let g(m) = -34*m - 15*m - 22*m. What is g(z(s))?\nAnswer: -142*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.9, -0.3, 3, -316, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 340 - 8159\/24. Let d(b) be the third derivative of 1\/6*b**3 + 0*b + 0 - b**2 + v*b**4. Find the first derivative of d(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 488925017*j**3 - 317344729*j**2.\nAnswer: 2933550102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + g. Let f be b(-1). Let d be (f\/6)\/(4\/42). Let s = 311.5 - 315.5. What is the biggest value in d, s, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 900 - 400. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(325) + sqrt(52) + -4 + ((sqrt(65) - ((sqrt(65) - -1*sqrt(65)*4) + sqrt(65))) + sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65))\/sqrt(5)*-6.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 6. Let u be j(2). Suppose -a = -0*p + 5*p - 24, 4*a - u = p. Solve -a*l + 4 = -3*o, -o + 0*o - 12 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 1, d: 1, i: 1, n: 1}. Give prob of sequence cio.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.987 or 0.15771?\nAnswer: 0.15771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/119*(-28)\/8*-1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 33*f - 6378. Give z(-65).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**4 - 1143*z**3 - 3*z**2 + z - 6*z**2 - 7*z**4 + 1148*z**3 - 1 to the form b + q*z + g*z**2 + r*z**4 + m*z**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.3 + 3. Let y be (-300)\/936 + 3\/18. What is the third smallest value in 1.3, y, b?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -118c8c67?\nAnswer: -118c8c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -716743\/60 - -11945. What is the common denominator of m and -23\/250?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(252)*6*1)**2*-2.\nAnswer: -18144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1616*u**3 + 4*u**2 - 10*u + 39. Let o(d) = 1615*d**3 - 5*d**2 + 12*d - 47. Calculate -5*o(b) - 6*v(b).\nAnswer: 1621*b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -41. Let s be (-1)\/(-3) + -22*w\/18. Sort s, 9, 5, -2 in ascending order.\nAnswer: -2, s, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 68.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 + 3*p**4 - 2*p**4)*(-2 - 3*p + 2) + 0*p**4 - 3*p**5 - p**4 + p**5.\nAnswer: -5*p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7 + 10 - z + z - z**2. Let c be r(0). Suppose 0 = 2*x - 5*k - 16, c*x + k - 13 = 3*k. Solve -x*s + 0 = -12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*c + 2, a = -0*c + 2*c + 7. Suppose -4*r + 4*h + 544016 = 0, -a*r + 198020 = -h - 209984. What is r rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and (3 - 1 - -16)\/(4\/2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(9 - 15). Let x be ((-5)\/(90\/(-16)))\/((-240)\/(-180)). Which is the closest to g? (a) x (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -17. Let y = 14.1 + t. Suppose -2*d = 5*c - 23, -3 = 2*c + c - 3*d. What is the third biggest value in c, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-25 - -10 - 19).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**2 + 17*m**2 + 10*m - 12*m + (-m + m - 2*m)*(-3 + 3 - m).\nAnswer: 11*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1092 + -1088. Let l = -3 + 5. Which is the fourth smallest value? (a) -2 (b) j (c) l (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b + 170. Let s be y(5). Let w = 28 + s. Calculate the remainder when w is divided by 40\/(-6)*(-30)\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.277711 to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4874, 7190, 9506, 11822, 14138?\n\"Answer: 2316*n + 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*z + 4*z. Let n be (-1 - -3 - 6)*z. Let y = 0.4 - 0.3. What is the smallest value in n, y, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exe when three letters picked without replacement from {e: 2, a: 5, x: 7}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/409299 and -2\/409299.\nAnswer: 409299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110*k - 54 + 54.\nAnswer: 1110*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92415275 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17199.2961 and 28.\nAnswer: 17227.2961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 8 + 7 = -3*f, -f = -h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*(-6)\/30*-536. Suppose 0 = -h*r + 270*r - 490. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ee6e08 (base 15) to base 3\nAnswer: -210101022122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43725 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/38 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089000517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -68172183 divided by -10.\nAnswer: 68172183\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 - 3 = 0. Suppose -5 = -y + o, 1 = y + 7*o - z*o. Solve 5*f - 3*s + 5 = 2*s, 0 = -f + 2*s - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-605)\/(-330))\/(3\/18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 1)*((2 - 4 + 3)*(0*i - i**3 + 0*i) + i - i + 2*i**3 - 6*i**3 + 2*i**3 + i**3).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.3 + 41928947.8.\nAnswer: 41929004.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -204836 divided by 204836\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*w - 5. Let u(s) = -s**3 + 5*s**2 - s + 7. Suppose -y - 3 + 8 = 0. Let m be u(y). Is w > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 143 = -161. Let c be (15\/(-10))\/((-3)\/o). Solve -5*z + 13 = c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 3. Let s be d(2). Let u(q) = q - 11. Let f be u(9). Which is the closest to s? (a) f (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75753 + 532?\nAnswer: 76505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4265695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:53 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d + 1075 = 84*d - 4*w, w = 5. Calculate the highest common factor of 146 and d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (-3 - -31 - -91) + -25.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1326779539 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10525107?\nAnswer: 3, 19, 184651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 18)\/(0 + 1). Let q = 21 + t. Suppose -3*o - 3*m = -60, -o = -q*m + m - 14. What is the lowest common multiple of 10 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*2*-5)\/sqrt(6))\/(-4*3*sqrt(192)) + 1)*-2.\nAnswer: -2 - 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 15 + -68 + 43.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 18 = 13*m. Find the common denominator of -71\/4 and (-2)\/m - (-52)\/(-186).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122776798 rounded to the nearest one hundred thousand?\nAnswer: -122800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 + 4*z**2 + 5*z - 10. Let k(n) = 5*n**3 + 5*n**2 + 6*n - 9. Let q(w) = 5*k(w) - 6*r(w). Suppose -9*b + 4*b = 0. Is q(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 7. Let r = 29 + o. Solve 2*d + 12 = -3*n, 4*d + 5*n + 6 + r = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9010000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11232 = -21*r + 270 + 1392. What are the prime factors of r?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2863747 + -93.\nAnswer: 2863654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -3*z**6\/50 + 7*z**5\/100 + z**4\/30 - 2*z - 1. Factor s(p).\nAnswer: -p**2*(p - 1)*(9*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1365466896.902.\nAnswer: -1365466898.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - 5. Let i = -23 - k. Suppose -9*v = -10*v. Sort i, 4, v in increasing order.\nAnswer: i, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from gqokkos.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 90*w**2 + 1134*w + 2646.\nAnswer: 2*(w + 3)*(w + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-20))**(-2\/107))**(-11) assuming x is positive.\nAnswer: x**(-440\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*q + 12 = 0, -4*t - 2*q = t + 8. Suppose t*a + 6 = 3*a. Suppose a*r - 24 = -2*r. Solve r*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 414 + -383. Find the first derivative of w + k*w + 27*w - 82 + 112*w + 19*w wrt w.\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122601.\nAnswer: 3, 40867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 729129\/2872 + (1\/8)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23182 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 2*b + 1. Let c be v(-2). Let k(p) = 2*p**2 + 86*p + 613. Let u be k(-34). Sort u, -5, c, -10.\nAnswer: -10, -5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 - 27 = 0. Let w be 12\/18*(-1 - 17). Let g = q + w. Sort -0.3, -2\/7, g in ascending order.\nAnswer: g, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1 = -26, 20 = r - t. What is the second derivative of i - r - 200*i**4 - 161 + 45 wrt i?\nAnswer: -2400*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/3 + 9*r**4 + 191*r**3\/3 + 61*r**2\/3 - 260*r - 676\/3 = 0.\nAnswer: -13, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -859998 from 0.2.\nAnswer: 859998.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120215 + -21335?\nAnswer: -141553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i + 24*i + 27*i - 103*i + 27*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)*y\/(((y\/(y\/(y*y\/(y**7*y)*y)))\/y*y)\/y*y*y))**(2\/13) assuming y is positive.\nAnswer: y**(46\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from jzjjjjjjjjjzjjjzjjjj?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 1, z: 1, j: 2}. Give prob of sequence zujj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m + 6. Let f be y(-5). Let s = f - 34. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(64) + sqrt(16)))\/(sqrt(128)\/sqrt(4)) + ((5*sqrt(600))\/(sqrt(108)*-3))**2.\nAnswer: 9*sqrt(2)\/2 + 1250\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.628947564 - 10.629. What is i rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(((s*s**5)\/s)\/s)\/s)\/s)\/s**(-4))\/(s\/((s*s**(-1\/3)*s)\/s)*s)**(1\/3)*((s*s\/s**2)\/s*(s\/(s**(-1\/4)\/s)*s)\/s)**(-15) assuming s is positive.\nAnswer: s**(-439\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*r**2 + 3*r**2 + 6451*r**3 - 6450*r**3 + r**4 - 4*r in the form d + i*r**4 + f*r**3 + q*r**2 + c*r and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 690?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911391.7ml to litres.\nAnswer: 911.3917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b + 2*z + 31, 28 = 5*b - z. Let d be (-224)\/(-24)*(-12)\/(-14). Let q be 2\/d*(-368)\/(-69). Put q, 0.2, b, -3 in increasing order.\nAnswer: -3, 0.2, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-1)\/(1\/1)). Let l(p) = -6*p - 16. Let j(n) = -7*n - 17. Let w(f) = 5*j(f) - 6*l(f). Does 3 divide w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 - (9 - (-383 + -12))*(-311)\/4?\nAnswer: 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45425056*s = -45425291*s + 11515 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/31)\/((w\/(w\/(w**(-4\/11)*w)))\/w))\/(w*w\/(w**(1\/3)\/w)*w)**(-7\/10) assuming w is positive.\nAnswer: w**(30637\/10230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 68185 (base 13) to base 4\nAnswer: 232030210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {g: 2, h: 1, t: 1, x: 1, f: 2, s: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 499647.\nAnswer: 499647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201220 + -1122211222?\nAnswer: -1102010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -187*z**2 + 126*z - 4555. Let w(m) = 190*m**2 - 110*m + 4553. Let c(p) = -6*a(p) - 7*w(p). Find the first derivative of c(f) wrt f.\nAnswer: -416*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -26*i**3\/3 + 1. Let z(o) be the second derivative of o**3\/3 - 228*o. Give q(z(d)).\nAnswer: -104*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01773 to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.06 + -0.06. Sort -3, m, 0, 5.\nAnswer: -3, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10279 + 164561\/16. What is the common denominator of x and -19\/280?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824887?\nAnswer: 7, 117841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(0 + 2)*3. Let a(t) = -3*t**2 - 5*t - 2. Let h be a(y). Is (371\/h)\/((-2)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 5*b - 3. Let f be u(-4). Let z be f*20*(-1)\/(-1). Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 3. Suppose -5*s + 28 = -2. Let l be x(s). Let u = l - -17. Solve 4*k = 8 - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Suppose -3*s = 4*r + 5 - 17, -5*r = 3*s - 15. Let d(x) be the first derivative of 0*x**2 + 1\/3*x**r + 1 + 0*x. What is p(d(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62119891 - 62119891 - 98*v.\nAnswer: -98*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14472 divided by 3618?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0252415 + -5.91\nAnswer: -5.8847585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2351354 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 722*r - 7 + 5*r**2 + 6 + 722*r - 26 + 23.\nAnswer: 5*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((12\/16)\/(-3)). Let h(v) = -21*v + 40*v - a*v. Let b(w) = 4*w**2 - 2*w**2 - w**2. Calculate h(b(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let v(q) be the second derivative of -q**3\/2 + q**2\/2 + 10*q. Let o(h) = 0 + 1 - 11776*h + 11775*h. Determine b*o(s) - v(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-3 + -35) - (7 - -3)) + -79 - 13?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005805 rounded to 5 decimal places?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2433 - 0.2433. Let a = 1.8 + -2. Let b = -343\/4 + 86. What is the fourth smallest value in a, l, b, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 48 = 0. Let j(h) be the first derivative of h**4\/4 - 8*h**3 + 2*h**2 - 27*h - 135. What is the tens digit of j(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128500\/30 - (-10)\/(-30) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1141 and 5705.\nAnswer: 5705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274*h + 92 - 541*h + 269*h)*(2*h**2 + 1 - 1).\nAnswer: 4*h**3 + 184*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 331, 660, 1209, 1978, 2967, 4176, 5605?\n\"Answer: 110*o**2 - o + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 5*z**2 - 7*z. Let r be f(-6). Let t = -18 - -46. Calculate the remainder when t is divided by 45\/r*(-8)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590.3202 micrometers to centimeters.\nAnswer: 0.05903202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124\/(-155)*(2\/24)\/(24\/(-7680)*-32)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -929 + 940. What is the third derivative of y*q - 306*q**3 + 28*q**2 - 63*q**2 - 2*q + 29*q**2 wrt q?\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 + -242535?\nAnswer: -243063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -3252214355?\nAnswer: -3252214353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 224908 = 225420 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 15) to base 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 2, z: 1, u: 1, s: 3, t: 6}. What is prob of picking 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 65*d = 129 + 100, 2*d - 5 = d for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 4*t + 4. Let u(c) be the second derivative of -c**3\/6 - c**2\/2 - 7*c. Determine -p(v) - 4*u(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2730515 (base 8) to base 7.\nAnswer: 6341032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40099565?\nAnswer: 5, 11, 661, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000263 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - -1.4. Let g = 1.8 - t. Suppose -4*o - y - 18 = -1, 4*o - 5*y + 35 = 0. Put o, g, 4 in descending order.\nAnswer: 4, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8684486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.147755479\nAnswer: 0.0738777395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15650 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/(-81))\/((-1768)\/(-208)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(16\/3))\/((-34)\/544).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*o = -0*o + 48, x = o + 15. Suppose 7*q = 3*q + x. Let z(t) = 1 - t**3 - 7*t + 1 + q*t + 6*t**2 + 0. What is z(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 983 = -2*h + 272. Calculate the greatest common divisor of 41 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 48 = d, -d + 54 = 4*o - 0*o. Suppose -r + 4*r = 15. Calculate the remainder when d is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.81 + 0.81. Let j = 0.26 - 0.28. Put u, -0.4, j, -0.5 in increasing order.\nAnswer: u, -0.5, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -15*z + 13*z + 2*s, 3*z + s = 16. Suppose -c = -5*c + 80. Let q = c + -12. Solve 7*w + 5*f = 3*w + 8, -4*w + z*f = -q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose 0 = -h + 4*v + 64, -d*h - 64 = -4*h + 2*v. Let y = 34 - h. Is -30 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**6\/720 - 13*k**5\/120 + 169*k**4\/48 - 28*k**3\/3 + 18. Let o(q) be the third derivative of x(q). Factor o(c).\nAnswer: (c - 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1090*g**3*i**2 - 149*g**2*i**2 + 2*g**2 - i**2 - 2 wrt g?\nAnswer: -6540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-2)\/8) - 0 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (3 + 4)) + 3250 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(312\/(-188)) - 2. Let i = k - 27\/130. What is the third biggest value in 2\/5, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 155 = -14*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 5*w - 3. Let p(c) = -14*c**2 + 16*c + 9. Let l(t) = -6*p(t) - 17*y(t). Let n be l(-10). Let o = -7 + n. Solve 12 = -o*b + 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {l: 6, u: 3, d: 4, g: 1, m: 4, v: 1}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 3*d + 3*d - d**5 - 19 + 19 + 4*d**3 + (-36*d**4 + 190*d**3 - 190*d**3)*(-5*d + 2*d - 3*d).\nAnswer: 213*d**5 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 5 = -5*p. Suppose -10*z = -p*z + 234. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/3746 or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*g + 81*g - 137*g + 201*g + 157*g.\nAnswer: 388*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 194, 196, 198?\n\"Answer: 2*c + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let b(d) = -584*d - 19. Determine b(q(h)).\nAnswer: -1168*h - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - f - 350, 0*c + 4*f = -2*c + 252. Suppose -3*q - 4*y = -2*q - 24, -4*q - 5*y = -c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.963133 litres to millilitres.\nAnswer: 5963.133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 32 + 1 - (0 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 68. Suppose -3*m + u = 3*z + z, -z + 8 = m. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-3)\/(-1) - (10 - 11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4085673\/4 or 1021419?\nAnswer: 1021419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -638 - -647. Let j(s) = -2*s - 4. Let p be j(-3). Suppose p*o - 3*q - 21 = 0, 0*o + q = 4*o - 37. What is the highest common divisor of o and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3469 (base 11) to base 2\nAnswer: -1000111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -2*t**3\/3 - 212*t**2 - 22472*t - 267. Factor r(q).\nAnswer: -2*(q + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(65) + (sqrt(65) - (3*sqrt(65) - sqrt(65)))*-5 + sqrt(65) + (sqrt(65) - (sqrt(65) + sqrt(65)*4))*-2)\/((sqrt(40) - 2*1*sqrt(40))\/(sqrt(72)*-1)).\nAnswer: -180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-2652.46\nAnswer: -3978.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27528 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + 8*q - 9. Give r(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + -3) - (10 + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a*b**2*n**2 + 28*a*b**2 + a*b*n**2 - a*b + a*n - a + 19*b**2*n**2 - 242*b wrt b?\nAnswer: -22*a*n**2 + 56*a + 38*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 + 3*f - 4. Let s(z) = 3*z**2 - 4*z**2 - 10 + 12*z - 4. Let u be s(11). Calculate q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030 = 313*m + 91. Determine i, given that 0 + 0*i + 4*i**m + 2\/5*i**4 + 10*i**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (6 + -4 + 10 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138378, -276762, -415146?\n\"Answer: -138384*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Suppose -v*s - b + 4 = 0, 8 = -2*s + 3*b + 29. Suppose -13 = -r + 1. Solve 2*x - r = h + 2*h, -14 = h - s*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*m - 151*m - 151*m - 155*m + 597*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -43.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.0402793 take away 0.11421?\nAnswer: -64.1544893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -2\/37, 35, 1\/6?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 10. Find the second derivative of -2*w**3 - w + 2*w - f*w**3 wrt w.\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/535 and 43\/20.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8525931217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcqt. Give prob of sequence qqtc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0151171467 to 4 decimal places.\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 12*r. Suppose -4*m + 5*m = r. Is m smaller than -10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70 and 2.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1088) + -1 + 5 + 2 + sqrt(17) + -5 + (sqrt(17)*-2*3 - sqrt(17)))*-6)**2 + -5.\nAnswer: 720*sqrt(17) + 3343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9026487.7 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2008 and -477563.1?\nAnswer: 475555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1342*a + 69. Let g = 425 + -416. Is t(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 80.427?\nAnswer: -85.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**4 + 5556*o**3 - 83799*o**2 + 402936*o - 627312 = 0?\nAnswer: -1867, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 0 - 5*a + 1 - 4*a**2. Suppose -v - 4*b - 12 = 0, 4*v + 31 = -5*b + 5. Give f(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3\/12 + 1315*o**2\/4 + 1729225*o\/4 - 4023. Factor l(c).\nAnswer: (c + 1315)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -113?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:38 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9883, -19768, -29649, -39526, -49399, -59268?\nAnswer: -69133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -289 + -1d?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33294 and 53700?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)*i*i**(-1)*(i**(1\/5))**(4\/43) assuming i is positive.\nAnswer: i**(-1071\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 greater than or equal to 4193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, 1362, -4, 0, -3, 2 in descending order.\nAnswer: 1362, 10, 2, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 6*h**2 + 2 + 9*h + 5*h**2. Let w be s(7). What is g in 6*g + g**2 + 2*g**2 - 3*g**2 - 2 + 2*g**w - 6*g**3 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.821976 and 1906.6.\nAnswer: 1898.778024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + u**2 + 0*u**4 + 6 + 2*u**4 + 1 + 2*u in the form k*u**3 + i*u**4 + m*u + z + l*u**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181773*f**5 - 6*f**3 - 6*f**2 - 102695*f - 102?\nAnswer: -3635460*f**3 - 36*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 - 2*m**4 + 7*m**4)*(2356*m + 2355*m - 4714*m + 120) + 2*m**3 - 2*m**3 - 2*m**5.\nAnswer: -11*m**5 + 360*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-3) + 62\/6)\/((-56)\/(-32)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 + 18 - 7)*(-o**3 + 2 - 2) to a*o + s*o**2 + p*o**3 + b and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567 is divided by 964.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 79. Suppose -t*z = -4*z. Solve 0 = -2*v - 5*s + 16, 4*v + z*s = -s - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-2\/13))\/(n*n**0\/n*n))\/(n\/(n\/n**(-11))*n**(-1\/3)))**(-23) assuming n is positive.\nAnswer: n**(-10925\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -42. Let n(k) = 2*k + k**2 - 2*k. Let b be n(2). Solve -4*r + 3 = -5*s, -a = -b*r + 4*s - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213.7 - -219.7. Let w = -0.16 + 0.06. Let h = w + 0.3. Which is the biggest value? (a) h (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/744618 and -187\/531870?\nAnswer: 3723090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*k + 24 = 0, 0*k - 31 = -3*v - k. Let p be 2\/(-9) - (-65)\/v. Let n(g) = g**2 - 4*g - 4. Let l be n(6). Are l and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5904 or 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d - 6*d - 7*d)*(-d + 4 - 4).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/112 + (-2)\/(7*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 13 - 8) + (10 - 1) + 56 + -113\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2439384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 572330799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -21*c**2 + c. Let t(z) = z + 1. Let b be t(-2). Let y be m(b). Let h be (33\/y)\/((-3)\/10). Solve -h = 4*x + 4*f + 3, -22 = -x + 5*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 79, 207, 419, 733, 1167, 1739, 2467?\n\"Answer: 3*a**3 + 15*a**2 - 4*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4810874 times 0.4?\nAnswer: -0.59243496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 + 98 - 254 + 1808*v**2.\nAnswer: 1808*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -375. What is the highest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1900) + -2 + 3 - sqrt(1900) - -2*(1*sqrt(1900))**2).\nAnswer: 3801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-117)\/(-45) + (-5)\/((-50)\/4). What is the third derivative of 22*h**2 + 7*h**2 + 17*h**3 - 41*h**g wrt h?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 29 = 9*k. What is the common denominator of (-284)\/240*k + (-4)\/5 and -43\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 2197, 5\/3, 2\/5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 - 2*x - 3. Let b be k(-3). Let w be b\/27 - 20\/(-9). Solve 0 = -4*q + 12, 4*p - w*p + 5*q = 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/34)*d\/((d\/d**(2\/9)*d)\/d)*d*(d\/d**(-3\/4))\/(d\/d**(1\/21)) assuming d is positive.\nAnswer: d**(8779\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 20*q**2 - q + 24. Let k be l(20). Solve -k*v + 3*v + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbbba. What is prob of picking 2 b, 1 r, and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6) + (-24)\/(-45))\/(18744\/8520)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - x = 5 - 2, -3*c = -2*x - 6. Let w(t) = -t. Suppose 4*u - 2*p = -22, -p = -2*u + 3*p - 26. Let l be w(u). Solve c = -4*q + q - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p - 102. Let c be b(8). Let a be -6*2\/2 + c\/(-34). Sort -9, 4, a in ascending order.\nAnswer: -9, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2001, -1034, 2891, 9768, 19591, 32354?\n\"Answer: -o**3 + 1485*o**2 - 3481*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*(33\/(-21))\/(-11))\/((-20)\/14)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 + 91*g - 2. Let w(l) = 5*l**3 - 92*l + 3. Determine -3*k(p) - 2*w(p).\nAnswer: 2*p**3 - 89*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393218?\nAnswer: 2, 7, 28087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -538 + 380. Let f = 240 + j. What is the remainder when f is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 127, 145, 163, 181, 199, 217?\n\"Answer: 18*v + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58196234 divided by -29098117?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80469 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49825583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 4*k - 4. Let t be p(5). Let d be t\/27 - (-2)\/6. Solve v + 1 + 0 = d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128\/7 + -388\/21. Let j be 2\/((-168)\/(-37)) - 0. Let u = j + z. Is -1 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 3, h: 1, y: 1, b: 7}. What is prob of picking 1 y and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 120. Suppose 2*c = -3 + 1. What is the remainder when j is divided by 12\/5*(c - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**3 - 7*y**3 - 11*y**3 - 10*y**3.\nAnswer: -47*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -45, 0, -2, 3, -3 in ascending order.\nAnswer: -45, -4, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**4\/12 - 22*f**3\/3 + 63*f**2 - 139*f. Let c be u(3). Solve 0 = s + s - 4*b, -2*b + 4 = -c*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 1\/2, -3, -6, 2, -1.\nAnswer: -45, -6, -3, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 937145.3 tonnes?\nAnswer: 937145300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -45*x**5 - 35*x**4 + 190*x**3 + 140*x**2 - 40*x = 0.\nAnswer: -2, -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/4 + 51*x**3\/2 + 78*x**2 - 153*x - 2. Suppose m(l) = 0. Calculate l.\nAnswer: -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 24*n - 69. Determine x(-15).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from wwwddd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-530228)\/(-67212) + 52\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -528\/7 - 2\/7*l**2 - 530\/7*l = 0.\nAnswer: -264, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*b - 2*b + 24, -3*b = x + 18. Let w(d) = -11*d**2 + 7*d. Let m(c) = 5*c**2 - 3*c. Give x*w(k) - 7*m(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1873*a - 1431*a - 1113*a + 234*a + 916*a to d + u*a and give u.\nAnswer: -3267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6)*(2 - 0). Let o be (k\/4*0)\/3. Find the second derivative of 6*w + 0*w**2 + 0*w**2 + o*w - 2*w**2 wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -309. Let l = 209.11 - u. Round l to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 11, x: 3, d: 1, i: 3}. What is prob of sequence iimi?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from hhiihihihi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2150 (base 10) to base 16\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -16. Solve s = 5*g + 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5, 4*h - 25 = -5*o + 2*h. Put 0, -3, -2, o in decreasing order.\nAnswer: o, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 2*v - 2. Give r(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 6. Let o be g(0). Suppose 3*z = 2*z - 4. Let a be (-1)\/(-3) - (z + -9 + o). Does a = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23918.684 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + g**2 - 8*g**2 + (75 + 12*g - 75)*(16 + 3*g - 16) - 4 + 4 - 2*g**2.\nAnswer: 29*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:47 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4469, -8929, -13385, -17837, -22285, -26729?\n\"Answer: 2*i**2 - 4466*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2168 + 2687. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j - 3. Let b be p(4). List the prime factors of (-1059)\/b - 8\/52.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -1 + 5. Find the second derivative of q**2 + 2*q**4 + 2*q**y - 3*q - 3*q**2 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 0. Let n be ((-81)\/24 + 3)\/((-6)\/(-4)). Which is the nearest to s? (a) n (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*p - 81, 3*k - 5*p + 3*p + 86 = 0. Let o = k + 61. Let l = o + -25. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**4 - 6*i**2 - 2*i**4 - 5*i + 3*i + 1 + 2*i**3 + 3*i**2 as f*i + u + r*i**3 + n*i**4 + c*i**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s - 5. Let o be g(4). Let b = o + -4. Suppose 4*x + r = 37, x - 5 - 1 = b*r. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2166109476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173.035 - 173. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Suppose 0 = -2*q + 2*w + 2*w + 28, 0 = -3*q - z*w + 24. Find the second derivative of -5*j**2 - 7*j - 4 + 4 + q*j**2 wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 314 + 34 = 0. Let l = 70 + k. What is the tens digit of l - (3 - (159 + 3) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2684857\/397756 - 1\/99439. Suppose 3\/2 - 21\/4*z - u*z**2 = 0. Calculate z.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzhzhzhhzzhzzzzzz. Give prob of picking 2 z.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 193*m**2. Let z(j) = -3*j**2 - 126*j + 8. Calculate z(a(g)).\nAnswer: -111747*g**4 - 24318*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -346, -1329, -2960, -5233, -8142, -11681, -15844?\n\"Answer: o**3 - 330*o**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0138 and -709?\nAnswer: -9.7842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45 + 3\/7*t**4 + 954\/7*t**2 - 948\/7*t - 324\/7*t**3.\nAnswer: 3*(t - 105)*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 6*l + 9. Let m be 1\/(-2 + 74\/38). Let o = m + 25. What is i(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206119176409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -39\/4. Let w = -3 + 7\/2. Let 0 + w*q + o*q**2 = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9333199, -9333198, -9333197, -9333196, -9333195?\n\"Answer: d - 9333200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphtwtwuhh. What is prob of sequence wu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 96*t**2 + t + 2. Let x = -28 - -27. What is the tens digit of d(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 551*f + 268*f + 283*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzccfccczczc. Give prob of sequence cz.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + a - 6*a)*(2858*a + 254340 - 254340) to s + n*a**2 + z*a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/8 and 113\/1070.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002 + 2022010?\nAnswer: 2111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 5*c**2 + c - 5. Let i be x(5). Let n(b) = -17*b + i - 1 - 4. Let j(u) = 3*u + 2 + 4*u - u. Calculate 11*j(p) + 4*n(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cavi when four letters picked without replacement from {c: 1, f: 3, a: 1, v: 3, e: 2, i: 1}?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1400 + 1?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Let y be (10\/(-35) + 0)*-203. Find the common denominator of y\/(-8) - (-2)\/n and -31\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14771*r - 1304*r - 15 + 34835*r - 1884*r + 15)*(-r - r + r).\nAnswer: -46418*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -634, -623, -606, -583?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 69. Find the common denominator of y\/6*(296\/(-140) + 2) and -139\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2736)*-4)**2.\nAnswer: 700416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 895.43?\nAnswer: -2686.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50 + 118?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10\/7))**(-48) assuming z is positive.\nAnswer: z**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l - 4*k - 4, -5*k + 12 = 2*l. What is the smallest common multiple of 40 and 4*((-120)\/6)\/l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -824\/15 + 55. Let o(b) be the second derivative of 2\/5*b**2 - u*b**3 + 1\/75*b**6 + 1\/50*b**5 - 1\/10*b**4 + 0 - 3*b. Factor o(a).\nAnswer: 2*(a - 1)**2*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19227573700 to the nearest 1000000.\nAnswer: 19228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 86. What is the third derivative of y*z**2 - 793*z + 793*z - 24*z**3 wrt z?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.2 - 14.2. Which is the nearest to 0? (a) -3 (b) -32 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6848351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 4*n**2 - 4*n. Let w be f(-3). Suppose 0 = w*b + b. Suppose b = -3*i + 21 + 18. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -529, -1124, -1801, -2554, -3377, -4264, -5209?\n\"Answer: z**3 - 50*z**2 - 364*z + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 2*p + 12. Calculate b(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101103 (base 4) to base 13\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 222045 - 444081\/2. Find u such that 24*u - w*u**2 - 39\/2 = 0.\nAnswer: 1, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c + 126723 = 127473 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900 divided by -5.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 50?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4165571+-1.43598\nAnswer: 4165569.56402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 40*n + 261. What is the hundreds digit of h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21332505 (base 6) to base 2.\nAnswer: -10011010110111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 91 = 2*l, 2*s + 1 = 4*l + 67. Suppose 19*f - 4 = 20*f. Calculate the remainder when s is divided by (-8)\/((-16)\/6) + f - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -39, 2 in decreasing order.\nAnswer: 2, 1, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2033*d. Let y(n) = -2*n. Give y(j(b)).\nAnswer: 4066*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 165, 337, 567, 849, 1177, 1545?\nAnswer: 1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90394 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121369 is divided by 198.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*i - 2340 = 196*i. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*r - 324*r - 336*r + 968*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*p - 121*p - 731*p - 4582*p - 55957 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 14, -1, 12 in descending order.\nAnswer: 14, 12, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288886 - 288886.000122779. Round y to six dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 12*f + 0 + 2\/3*f**3 - 13\/2*f**2. Let i be k(3). Are i and 4\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930909.5l in millilitres?\nAnswer: 930909500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f + t + 6, 0 = 2*f + t - 7. Let x be (1\/1)\/(3\/6). Suppose x*l + 8 = 3*l - 4*y, 4*l + 3*y = -6. Solve l = -3*u + u - 6, -f*u = 5*a + 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(30) - (sqrt(750) + (sqrt(750) - sqrt(750)*1)))\/(sqrt(6) + sqrt(54)*-1).\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50225*f + 27 = -4*a + 50226*f + 7, 9*a - f + 45 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 + 15?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95792273?\nAnswer: 509, 188197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 539*y**3 + 13*y**2 + 71*y - 451. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 - (1 - 3). Let s = 320 - 319. Calculate the greatest common factor of k and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*f + 256, -3*c = 5*f - 521 + 140. What are the prime factors of c?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, -2\/9, -0.1, 0.07, -1\/26?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 9) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 467*d**2 - 925*d**2 + 458*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16*(-1)\/(-2)*-1. Let h = g + 5. Let c = 6 + h. Let r(b) = -4*b. Determine r(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = -3*m. Let x = -0.8 + -0.2. Let w = -1 + x. What is the nearest to 0.2 in m, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzh. What is prob of sequence th?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18048519 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 3. Let g(s) = s. Let b be (-6)\/(-15) - 28\/(-5). Suppose -4 = -0*i - 4*i. Let p(d) = b*g(d) + i*m(d). Find the first derivative of p(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818871 is divided by 1407?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -3574, -13022, -31488, -61978, -107498?\nAnswer: -171054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 7*q**2 + 7*q + 12. Let n be k(8). Suppose 3*o = -4 - 2, 0 = -z + n*o - 105. Let m = z + 225. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-2)\/(4 + -2). Suppose 0 = -3*x - k*x + 18. What is the remainder when 31 + -16 + (-2)\/(-2 + 1) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 24 = b. Let c = -22 - -42. Suppose 0 = -5*i + c. Calculate the smallest common multiple of b and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219439466 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -13*k**8\/56 - 7*k**4\/6 + 5*k. What is the third derivative of f(l) wrt l?\nAnswer: -1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaabbabsxsaababt. What is prob of picking 1 s and 1 b?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2579 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -230\/7, -0.5, -1\/3, 4, -1\/10 in decreasing order.\nAnswer: 4, -1\/10, -1\/3, -0.5, -230\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*6 + -3 + 4. Let n = 61 - l. What is the remainder when n is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33135 divided by -16?\nAnswer: 33135\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 - 1\/(-4). Suppose c = -0*o - o + 42. Suppose -2*w + 3*j = -o, 0 = w + w - 2*j - 44. Calculate the common denominator of 145\/6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 32*u**2 - 289*u - 29. What is the lowest common multiple of m(-39) and 10?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 p when four letters picked without replacement from {f: 1, k: 3, p: 5, a: 7, v: 2}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(1\/20)\/(i**(-1\/23)*i**(7\/3)) assuming i is positive.\nAnswer: i**(-1649\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/90)\/((-310)\/4836).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/15 (b) 12\/19 (c) 3 (d) -1 (e) 310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110454 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -793 times 5\nAnswer: -3965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3 - j - 2 - j**2 - 1 - 1. Give a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:44 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -147 + 150. Suppose -h + 3*h - 21 = -c*r, 3*h - 2*r = 38. Solve 5*t = 2*t + h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2507 - 2507 - 68*u**4 + (-8 + 8 + 2*u**3)*(-4 + 4 + u).\nAnswer: -66*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**4 - 7616*t + 1649 wrt t?\nAnswer: 8*t**3 - 7616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 48 = -b. Solve b + 0 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/24 - m**3\/2 + m**2\/2 + 5*m. Let x(p) be the first derivative of a(p). Calculate x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 - 2*o**3 + (6 - 7 - 4)*(-3 + 3 + o**3).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 2*u + u. Suppose -3*i - u = -8*i. Let w = 78 - i. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23443053, 46886111, 70329169?\nAnswer: 93772227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 104. Suppose 0 = -3*z - 2*y + 75, 4*z - y - 88 = 23. Determine f(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2962*w = 2965*w + 119 + 3, 4*w = -3*r - 124 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1214 - -1232. What is the smallest common multiple of 406 and d?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 20*n + 52. Let b = -18 + 29. Calculate the remainder when b is divided by j(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.433204 millennia?\nAnswer: 14.33204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 4 + 4)*(3 - 3 - r) - 3*r - 2*r + 4*r)*(-4*r + 4*r - 2*r - 2).\nAnswer: 4*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d. Let t(u) be the first derivative of -u**2 + 2. Determine t(q(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 15*l**2 - 15 + (-2*l + 0 + 0)*(-11 - 10*l + 11) + l**2 + 3*l**2 - 2*l**2 to t*l + b*l**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 39 = -5*z + 22, -5*z + 5*l + 65 = 0. Suppose 2*f + 2*f = z. Suppose -g + f = -0. 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 value of (25 - -1) + -24 + (46 - 35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 4. Let z(q) = 16*q - 221. Let h be z(14). Which is the second smallest value? (a) 0.04 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/8 - 72273*d\/2 - 144544.\nAnswer: -(d + 4)*(d + 289088)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157a766 - 1?\nAnswer: 157a765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**7\/630 - x**6\/120 + x**4\/18 - 3*x**2\/2 + 1. Let d(c) be the second derivative of t(c). What is f in d(f) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - 2\/(-14). Let l = -59 - -102. Let r = -43.4 + l. What is the closest to -1 in r, v, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8008516 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2, -g - 6 = 4*z - 18. Let f(q) = q**2 + q - 4. Let c(n) = 2*n**2 - 4. Let r(i) = 2*c(i) - 3*f(i). Calculate r(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/115140 and -41\/171700.\nAnswer: 9786900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -35*m**4\/2 + 91*m**3\/6 + 91*m**2\/2 + 160*m. Let g(w) = -7*w**2 + 3*w + 3. What is 6*f(s) - 182*g(s)?\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 i, and 1 c when three letters picked without replacement from iwiiicicicccccj?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/24 - -11\/120. What is the nearest to -1 in 4\/3, -34, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(156))\/sqrt(12) + (sqrt(13) + 1 + sqrt(13) + sqrt(13))*1 - ((-2*(-1 + sqrt(13)) + 2)**2 + 1)).\nAnswer: -204 + 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61710 + -1433?\nAnswer: -63043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 8*a**2 + 2*a + 9. Let c be m(8). Suppose 3*h + 5 = 4*h. Solve 6 = -4*r + 3*q, h*r + 2*q = -c + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445121828 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, 1 h, and 1 r when four letters picked without replacement from hhayhdyahrydbdaydra?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 499 and 12.\nAnswer: 5988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:48 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -254\/9. Suppose 2*u = -92 + 2. Let x be 8\/12 - (-3)\/u. Which is the second biggest value? (a) m (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33842904281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1 - (1 + -4). Suppose -340 - 91 = -70*m - 151. Solve -12 + 3 = -h + 3*v, -a*h + m*v = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -41. Let r = -21.5 + l. Let x = r + 7.5073. What is x rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 432, 892, 1676, 2790, 4240?\n\"Answer: b**3 + 156*b**2 - 15*b + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149987408 divided by -37496852.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3517 is divided by 3431.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 13 - 2)*(68*g - 138*g + 77*g).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, e: 1, p: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117959953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/17 - 341990*z\/17 - 341992\/17 = 0.\nAnswer: -1, 170996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.91 rounded to the nearest ten?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5)*3\/(-3 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-59)\/(4\/((-32)\/(-4))). Let p be 1\/5 + g\/(-10). Solve 0 = 5*b - b + p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*w + 2 + (1 + 1 - 3)*(-5*w - 2*w + 3*w) + 0 + 0 - w - 2*w - 2*w + 2*w + (2*w + 0 + 0)*(0 + 6 - 5) to h + l*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 511178149 + -511171184.61523. Let h = -7000.385 + c. Let q = h + 36. What is q rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95438432 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 181809376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120638 = 10*h + 19945638. Round h to the nearest 10000.\nAnswer: -1980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {y: 5, a: 1, h: 5, p: 5, d: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Suppose 35*q = 29*q + 36. Let a = 16 + -11. Suppose a = 7*y - 2*y. Let t(n) = -7*n**2 + 3*n - 2. What is q*s(v) + y*t(v)?\nAnswer: -v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 2*j - 1. Let a be q(3). Suppose 0 = 3*x - 3*y - 930, -5*x - 2*y = -3*x - 632. Let i = x + -313. Put i, a, -2, 3 in ascending order.\nAnswer: -2, i, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5 - 1326*k**4 + 24156*k**3 - 48802*k**2 - 562155*k - 487872 = 0.\nAnswer: -1344, -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*q + 120, 2*q - 80 = 2*d - 0. Calculate the remainder when q is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 69 = 4*z, 3*z + 2*s - 7*s - 49 = 0. Suppose z*b + 22 - 4 = 0. Is 2\/257 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -311, 2\/19, -88\/23, 1\/7.\nAnswer: -311, -88\/23, -1, 0, 2\/19, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = 6*b - 5*b, b + 14 = 3*y. Let r be (b\/3)\/((-21)\/9). What is the closest to r in 3, -0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 342441 and 341953 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 34106097*o. Let j(u) = 2*u. What is d(j(l))?\nAnswer: 68212194*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**2 + 442*f**5 + 15737*f - 1 - 15719*f + f**3 - 910*f**5 wrt f.\nAnswer: -28080*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(128) + 0.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 14\/11, 1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1156\/408 + (-5918)\/1716\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 3*b**3 - 10*b**3 + 8*b**3 - 3*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5422 + 3031. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -0*l - 13*l + 9*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020122011 (base 3) in base 10?\nAnswer: 142618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6493025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 t, and 1 p when four letters picked without replacement from {z: 1, f: 1, t: 2, p: 1, q: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(-3 + 3 - 2*z)*(-8*z**2 - 288*z + 288*z)*(-4 + 3 + 5).\nAnswer: 64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-36)*(-525)\/(-875)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0*l - 15*l - 22 + 24. Is s(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 29. Let z be j(-17). Let p be 1*(0 + -1) - -5. Solve 22 = g - z*k, -3*g + p*g = k + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**(-1\/3))**(-1\/6) assuming t is positive.\nAnswer: t**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/46530 and -163\/25380.\nAnswer: 279180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1095 - 631. Suppose 6*o - 90 = o. Let p be m\/o + (-10)\/(-45). Is p != 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.9734l?\nAnswer: 87973.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 68 + 65 = 4*y, 0 = y + 2*a - 34. Suppose 3*u + 4*t + 0 - 24 = 0, -5*t = 4*u - y. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -67. Suppose -u + 0*r + 57 = -2*r, q = r. Which is smaller: u or 58?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-4)\/3) + 307076\/112 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, n: 1, d: 1, u: 1}. Give prob of sequence edl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/((-11)\/(-1650)). Calculate the highest common divisor of z and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = 11. Let f(n) be the second derivative of -1\/20*n**5 + 0*n**2 + 1\/12*n**4 + 0*n**q + 0 - n. Solve f(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968*d + d**3 - 968*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.5. Let u = 19 + -19.9. Let h = 1.2 + u. What is the closest to 1\/3 in h, 0, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 395*k**2 + 14880825*k - 376730 = 0.\nAnswer: -37673, 2\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -841 - -835. Let d(s) = -s**3 - 5*s**2 + 5*s - 4. Calculate d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s + 9. Let n be d(6). Suppose -n = -i - 17. Solve -v = -i*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5389 divide 932437114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t - 429437 + 1561 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 12*c + 21. Calculate s(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 12. Let h be g(-3). Let l be (-4)\/(-54)*h - 18\/(-81). Suppose l = -5*y + 179 + 136. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 62*x. Let f be p(0). Solve 2*d - 20 + 18 = f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45969074 - -13?\nAnswer: 45969087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 13226?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962680756.\nAnswer: 2, 240670189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399329 - 398349 = -49*y for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2. Let l(f) = 3*f**2 + 37*f + 2. What is l(n(i))?\nAnswer: 48*i**4 - 148*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 79*w = 84*w + 104, -3*x + 2*w + 78 = 0. What is the remainder when 73 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/35 - 36\/(-14). Let w(v) = -13*v + 11*v + 18*v**2 - 1 + 1. Is 13 a factor of w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -392, -433, -468?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from jhjljjhjjhjhhjpep.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 + -55)*1*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.711 - 9.711. Let u = 96 + -99. What is the closest to 1\/3 in -0.14, u, o?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*w**2 - 2*w + 7 + 886*w**2 - 4*w.\nAnswer: -15*w**2 - 6*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxxxbzzbxzx. What is prob of picking 3 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:38 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1253 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 10*j + 4*j + 9*j. Calculate the remainder when g(2) is divided by 126\/5 + (-4)\/20.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2.1 (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 3) to base 6.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 39 + 0*y**2 - 3*y**2 + 78*y**3 + 3*y**2 to the form c*y**2 + j*y + s*y**3 + x and give s.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s**3 + 20*s**2 - 16*s - 6. Let l(y) = -3*y**3 + 6*y**2 - 5*y - 2. Determine 5*f(g) - 16*l(g).\nAnswer: -2*g**3 + 4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2000 + -10?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -421*l**4 - 202*l**4 + 667 + 115*l + 120*l - 235*l with respect to l.\nAnswer: -2492*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 753\/(-48945)*30\/(-63)?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -29. Calculate the highest common divisor of 16 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - -2.12. Let n = c - 0.822. What is n rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 6 - 7) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/3)\/(2\/(-2010))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4159492.\nAnswer: 2, 17, 61169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2938\/15 + 196. Suppose -h + 1 = 2*u, -209*u - 3*h + 3 = -205*u. Let x = -2.8 - -3. What is the biggest value in -0.3, x, u, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369 divided by 6.\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**8\/84 + 34*n**7\/105 + 41*n**6\/30 - 49*n**5\/15 - 74*n**4\/3 - 152*n**3\/3 + 396*n**2 - 3*n. Solve m(d) = 0.\nAnswer: -2, -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 31, 51, 87, 145, 231, 351?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*y**2 + (y - 2*y + 0*y)*(-1 + y + 1) + 3 + 2*y**2 - 3 - 7 - 1 - 23*y**2 + 9.\nAnswer: -24*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1)**(-31))**(3\/14))**48 assuming j is positive.\nAnswer: j**(-2232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 3*-2*sqrt(88))\/(sqrt(88)\/sqrt(44)) + ((sqrt(121) + -2*sqrt(121)*-2)\/sqrt(11))**2*-2.\nAnswer: -550 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -83557*u - 316. Let v be w(12). Round v to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)**3\/(n**1)**23 assuming n is positive.\nAnswer: n**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 70130*g + 1051952. Determine p(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p + 53*p - 58*p + 1166 + 484 = 0 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16.4 and 9220927.\nAnswer: 9220910.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 1702, 3640, 6352, 9838?\nAnswer: 14098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 536*f**5 + 2*f + 265*f**5 + 259*f**5 + (-2*f + 2*f - 2*f**3)*(-3*f**2 + 3*f**2 + 2*f**2).\nAnswer: -16*f**5 + 2*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -517.18 - -527. Round v to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -774\/17?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -12.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 2*n**3\/3 - n. Let r(u) = 1. Let d(p) = p**2 + 4. Let o(t) = d(t) - 4*r(t). Calculate z(o(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16748932.\nAnswer: 2, 4187233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 - -197.00158. Round o to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/((-384)\/128)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*t = -13, t = 2*g + 3*g - 20. Differentiate 2*v**3 + v**g - 4 - v**3 + 0*v**3 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8532?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 7*q - 1. Let j be v(6). Suppose 2*g = g + 3*t - 2, j*t - 22 = -3*g. Solve -g = 5*m - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*a = -3 - 4, 3 = 3*f - 3*a. Let d be (0 - -2)*(-4 + 3)*1. Calculate the remainder when 122\/3 + d\/f is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s + 4. Let y be b(0). Suppose y*v + 7 = 5*v. Solve 1 + v = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 20. Let u be (15\/9)\/((-15)\/(-18)). Let m be u + 0 + (-5 - -4). Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102112001020002002 - 2?\nAnswer: -102112001020002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 220\/(-32)*28\/10 and -53\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 - g**3 - 6*g**3)*(-3 + 1 + 5) in the form s*g**2 + a + p*g + b*g**3 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 7*l + 153 = 0. Let x(r) = -l*r - r + 13*r. Let f(j) = j. Determine x(f(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2.15, 4\/3, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1254 and 7980.\nAnswer: 87780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 - (-13)\/21. Let d = 16\/7 - r. What is the closest to 0.1 in d, -5, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4 - (-14 + (-1 - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3713.3, -1\/6.\nAnswer: -5, -1, -1\/6, 3713.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*y = -129*y - 48. Solve 5*o - 4*b = o - y, o + 2 = -3*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbl. Give prob of picking 1 l and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v + 0)*(-646 - 600 + 954)*((v - v - 2*v)*(-1 - 5 + 4) - 2*v + 1 - 1 + 3 - v - 3)*(-3 + 0 + 5).\nAnswer: 584*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-20)*(-7560)\/336. Let g = 6 - 11. What is the smallest value in g, l, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/627 and -60\/16511.\nAnswer: 49533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -791, -1661, -3011, -4841?\nAnswer: -7151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247219 - -413819. What is m rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -642446, -642730, -643014, -643298, -643582, -643866?\nAnswer: -644150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 21*v**2 - 23*v - 16. Calculate the remainder when p(-20) is divided by ((-8)\/(-12))\/((-4)\/(-72)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 7*s**2 + 6*s. Let l be 4 + (-15)\/(-6)*8\/10. What is a(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16 - 3\/((-216)\/(-70))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278.1 + -292. Let t = 43.1 - g. Let y = 60 - t. Which is the second biggest value? (a) 2\/5 (b) y (c) 3\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36bac (base 15) in base 11?\nAnswer: 10a335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 55*s + 262. What are the prime factors of f(55)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + t + 5, -2*t + 5*t + 3 = 0. Let w = -7 - -7. Suppose w*i = 2*h + 3*i - 6, 0 = 3*h - i - 9. Solve -h*d - 5 = x*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 467 - 305. What is the lowest common multiple of 30 and n?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15009263.22 rounded to the nearest 1000?\nAnswer: -15009000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, 0.9, -2, -0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/6 - 461*a**2\/6 - 37975*a\/6 - 290521\/2 = 0. What is a?\nAnswer: -363, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 2. Let d(g) = 3*g - 11. Let b(i) = -i + 4. Let a(l) = 11*b(l) + 4*d(l). Calculate 2*a(f) + m(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 + 18*t**2 - 29*t + 43. Let b be n(-6). Which is smaller: -7\/101 or b?\nAnswer: -7\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:55 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g - 5*g + 0*g**3 + 4*g**2 - 3*g**3 in the form x*g**3 + n + m*g**2 + y*g and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p**(-7)\/p)))\/p**(2\/83) assuming p is positive.\nAnswer: p**(-749\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/19 (b) 0.3 (c) -2\/3 (d) -75119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 - -2534\/15. Sort x, 3, -5, 4 in decreasing order.\nAnswer: 4, 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19538\/3705 + 2057\/380. Calculate the common denominator of o and -67\/8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161.4 + -64.1. Round n to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*s - 45504 = 2819*s - 1293*s for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 6)\/((1 + 9)\/5). Suppose 3*y = 4*u + 502, -z*y - 4*u + 963 = 275. Is 41 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.1 + 8.5. Let w = -2.39986 + j. Round w to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173\/792 - -1\/264. What is the third smallest value in 2, i, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130057 times 15?\nAnswer: 1950855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 284.4, -0.1, 0.2.\nAnswer: -5, -0.1, 0.2, 284.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 1. Let k be o(-10). Let z = k - -3. Calculate the remainder when 96 is divided by 2189\/66 - 2\/z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 8*k**4 - 92*k**3\/3 - 6*k**2 + 349. Factor u(j).\nAnswer: 4*j*(j - 3)*(8*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*1428\/966 + -35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1.03 (c) -4 (d) -15\/2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 212, 11, 3\/43, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1564*c + 1563*c - 3127*c + 6*c**3 - 3075 + 3075.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-20988)\/(-572) - (-1782)\/(-4862)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 10. Let o be h(-7). Suppose -o*t + 2 = -58. Calculate the smallest common multiple of t and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 1181 + 1096 = 0. Solve 0 = d - 3*c + m, 3*c = 3*d + 4*c - 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:24 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 - -0.6. Let i = s - -0.62. Which is the closest to -1\/3? (a) i (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130904*g + 130941*g - 3071 = 0 for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ioiiooiooooooioo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 157848 (base 9) to base 15\nAnswer: 1ddee","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 11011010101010100011 (base 2) in base 14?\nAnswer: 194591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-34)\/51)\/(4\/6) + 4. Let t(k) = k**2 - k. Let s be t(-1). What is the second derivative of 11*z + 3*z**b - 93*z**2 + 93*z**s wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = -8*h + 7*h, z + 2 = 0. Let f = -11 - -9. Which is the nearest to 3? (a) -4 (b) f (c) 0.3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - 65. Let d be k(-13). Let o be d + -3 + 6*12\/9. Solve c + 2*q - 1 = -0*q, -o*c + 17 = 4*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14766.37 to the nearest ten.\nAnswer: -14770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 8, 19, 36, 59, 88?\n\"Answer: 3*r**2 - 4*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019347 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 + 4. Let u = -0.17 + i. Let o = 0.0338 - u. What is o rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56 or -1115?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 10905*a**2 + 21813*a + 10907 = 0. Calculate a.\nAnswer: -1, 10907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 6034?\nAnswer: 126714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) - ((-1584)\/28)\/9. Solve d*i - 2*i = 5*x - 12, 5*i + x + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f + 3 - 3)*(-3 + 1 + 0) + 0*f + 3*f - 2*f)*(-4*f**4 + 6*f**4 - 3*f**4).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {e: 2, g: 7, m: 7}.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i**3 - 7*i**2 + 13*i - 13. Suppose 52 = 12*n - 16*n. Let l(j) = 5*j**3 + 3*j**2 - 6*j + 6. What is n*l(d) - 6*t(d)?\nAnswer: d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c. Let l be u(-3). Suppose 2*x = -0 + l. Suppose 5*i = -x*p + 2, -3*i - p = -5*p - 7. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) -0.6 (c) 1\/1016 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -67\/2. Let t(g) = -2*g**2 - 57*g - 30. Let j be t(-28). Which is bigger: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4082701 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -779.14664 - -783.64664056. Let k = 4.6 - 0.1. Let r = k - m. Round r to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 6*h**2 - h - 3. Let m(b) = -2*b**3 + b**2 + 7 - 6 + 5*b + 3*b**3 - 4*b. Calculate 3*m(v) + x(v).\nAnswer: v**3 - 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4774433\/168 + 28420. Calculate the common denominator of k and 101\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4593.76 * -24.\nAnswer: -110250.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 18 in descending order.\nAnswer: 18, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 2. Let i(h) = -5*h + 4*h + 2*h. Let o(s) = c(s) - 4*i(s). Give o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1205\/25 + (-3)\/15 and 20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) 88 (c) -1\/7 (d) -0.5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*g = 180*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 172*l - 227 - 206 + 669.\nAnswer: 172*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 55*f - 1034. What is the units digit of u(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 747 and -1.\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361967?\nAnswer: 361967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:13 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5724, 5732, 5750, 5784, 5840, 5924?\nAnswer: 6042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + 361 = 2*o, -2*o = -2*y - 358. Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639*f - 642*f + 24 = 0. Let c = 19 + -13. Factor 2*q + c*q**2 - f*q - 4*q - 9 + 7*q.\nAnswer: 3*(q + 1)*(2*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 5}. What is prob of sequence eke?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*f**2 - 366*f + 2?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3080)\/30*-3*((-486)\/4)\/9. What is i rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*v + 736*v + 63 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380014231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/3443125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72, 178, 292, 414, 544?\n\"Answer: 4*s**2 + 94*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3335 by 4.\nAnswer: -3335\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -401264 divided by 6\nAnswer: -200632\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, g: 9}. Give prob of sequence igi.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*g**6*o + 4890*g**3*o**2 - 13413*g**2 - 2*o**2 - 2*o wrt g?\nAnswer: -3000*g**3*o + 29340*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84974 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/4 - 129*z**2\/2 - 1953*z - 14014 = 0. Calculate z.\nAnswer: -14, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 5*u + 2, 146*u - 4 = x + 150*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59139932885005\/54958168850688 + -1\/3021505792. Let r = 17\/423 + b. Find the common denominator of r and -25\/8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -534 (base 7) in base 5?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7395*v**2 + 238*v.\nAnswer: 14790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**3)\/(g**(-9)*g**(1\/10)) assuming g is positive.\nAnswer: g**(89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 69 = 25*h. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 - (-3 + 10). Let a be (-75)\/v - 6\/(-4). Suppose -2*m + a + 8 = 0. What is the remainder when 30 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*r + 18, 0 = -12*r + 9*r + 2*h + 14. Solve -5*x + 0 = -3*n - 3, 4*x = -r*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(245) + (sqrt(80)\/sqrt(4))\/sqrt(4))*-3 - (sqrt(10)\/(sqrt(150)\/sqrt(3)) + (1 + sqrt(80) + sqrt(5))*4))**2.\nAnswer: 8398*sqrt(5)\/5 + 50646\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -30*s + 20. Let r(h) = -7 + h + 4 + 2. Let m(c) = b(c) + 20*r(c). Let o(y) = y**2. What is m(o(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 165 = -6*g - 10*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3729, 3610, 3491?\n\"Answer: -119*g + 3848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (2 - (-4 - -8)). Let x(o) = -4 - 6*o + 0*o + 3*o. Let n be x(-3). Sort -1, n, b in ascending order.\nAnswer: -1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 7*h - 1. Let v(m) = -3727*m**2 - 7*m + 1. Determine b(i) + v(i).\nAnswer: -3729*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -3070, -10614, -25298, -49504?\nAnswer: -85614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135957*i - 1126283 wrt i?\nAnswer: 135957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43020, 172521, 388356, 690525?\n\"Answer: 43167*k**2 - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 4 = -m, 3*y = 5*m + 6. Let p(c) be the second derivative of 0*c**3 - c**2 + 1\/6*c**4 + m + 2*c. What is the first derivative of p(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.99835 minutes to milliseconds.\nAnswer: 5219901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p + 152 = -5*x, 5*p + 280 = -3*x. Let l = 104 + p. Suppose 12 = 3*m - 2*c, 5*m + 0*c - l = -5*c. 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: Find w, given that -2*w**2\/13 - 5008*w\/13 - 544920\/13 = 0.\nAnswer: -2390, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, 0.3, -2\/85?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4643, -18517, -41657, -74057, -115711, -166613, -226757?\n\"Answer: i**3 - 4639*i**2 + 36*i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016998 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2. Suppose -297 = -20*j + 443. Let z(q) = 69*q - j - 61*q + 37. What is t(z(s))?\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 11*x = 7*a - 4, -18*a + 4*x + 5 = -2 - 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*p**2 + 4 + 2 + 250*p**2.\nAnswer: 47*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 18*q + 49. Let w be m(-4). Let s(o) = -7*o - 98. Let h be s(w). What is the greatest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 65729.\nAnswer: 97\/65729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14221, -14154, -14097, -14056, -14037, -14046, -14089, -14172?\nAnswer: -14301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/27*15\/20.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.64 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.66712494 to 2 dps.\nAnswer: -20.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 56*a**2 - 14*a + 28. Let l(q) = -11*q**2 + 3*q - 6. Let u(d) = -14*l(d) - 3*w(d). Let b(r) = 2*r + 3*r - 3*r + 0*r. What is b(u(x))?\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**4\/18 - 11*r**3\/9 + 4*r**2 - 22*r. Factor c(n).\nAnswer: -2*(n - 1)*(n + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20364 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11906702 or -1?\nAnswer: 11906702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.31 - 11. Let k = b - 0.3. Let m = -0.11 + k. What is the smallest value in m, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = 14. Let h = r - -12. Suppose 0*q - 4*f + 186 = 5*q, h*f + 81 = 2*q. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45772.9799+-0.067\nAnswer: -45773.0469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 7:53 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 3*v - 8. Let n(o) = o**2 + o - 3. Let a be (1\/5)\/(8\/(-40)). Let y(r) = a*w(r) + 3*n(r). Let k(t) = 9*t**2 - 3. Give k(h) - 3*y(h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/14016 and -61\/6426336.\nAnswer: 12852672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*j = 66, 2*j = -3*m + 2*m - 21. Let z(b) = 49 - 19 - 20*b**2 - b**3 + 13*b + 11*b + 5*b**2 - 26*b. Is z(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/162 + 383\/(-9). Let t be -74 + 82 - b\/(-6). Factor -t*u + 0 + 2\/3*u**2 + 1\/6*u**3.\nAnswer: u*(u - 1)*(u + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 + 19 - -6) + -17)\/(1\/13)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 21. Let n be t(-22). Is 7 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 5032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l - 62. Let b = -297 + 284. Let y(v) = 19*v - 125. Let c(t) = b*q(t) + 6*y(t). What is the derivative of c(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -418*q. Let b be x(1). Let y = b - -142. Is 8 a factor of y\/(-8 - -4) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 25*d + 132 - 221. Solve s - 13 = d*i - 2*i, 0 = 4*i + 3*s + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(3 + 2*sqrt(75)))**2.\nAnswer: -14832 - 2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**3\/2 - 5*k**2\/2 - 12*k. Let n be a(-3). Suppose -3*w = 3*b - 11 - 4, -n*w = 16. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/7 (b) -2 (c) 0.023 (d) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 17. Let a be h(15). Let i(x) = 16*x**3 + 5*x**2 - 5*x + 1. Let q be i(a). Suppose -59 = -6*p + q. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13292981\/210090 + 2974\/47. What is the common denominator of l and 79\/28?\nAnswer: 62580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3247781\/17 + 191197. Let n = q + -151. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 5 + 2*f)*(30*f**2 - 3*f**2 + 0*f**2) in the form r*f**2 + j*f**3 + l + w*f and give j.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2087, -3, -1, 37.\nAnswer: -2087, -3, -1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29247, -29202, -29145, -29070, -28971, -28842, -28677?\n\"Answer: v**3 + 38*v - 29286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -13. Suppose -5 = -6*o + o, -y = -5*k + 4*o. Suppose 1 - 13 = -k*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*v**5 + 655*v**4 - 46*v**3 - 4960659*v**2 wrt v?\nAnswer: -1380*v**2 + 15720*v - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(630)*2)\/sqrt(10) - sqrt(63)) + sqrt(441)\/(sqrt(7) - sqrt(35)\/sqrt(5) - sqrt(7)) + -5 + 4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - -2.3. Let g = 359\/14 - 51\/2. Let r = 1.4 + -1. Which is the biggest value? (a) r (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3960 or -4059?\nAnswer: -4059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.058, 3\/2, 398, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 11.49616?\nAnswer: 13.795392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4\/7 + 92*x**3\/7 - 11618*x**2\/7 - 173468*x\/7 - 605280\/7 = 0.\nAnswer: -97, -8, -6, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*(-176)\/(-3). Let i(p) = 53*p + 9. Let y be i(-4). Let v = s - y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 times 6?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*r - 360*r = -p - 18, -p = 5*r - 30. Solve -1\/8*i**3 + p + 5\/8*i**2 + 3\/4*i = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (180 - 178) - (-1 + 0 - -75).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589*u - 1198*u + 108 = -591*u. Let m = 7 + -12. Sort u, 4, m, 3.\nAnswer: m, 3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 32*b**2 + 64*b.\nAnswer: 4*b*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14915880 and 7740?\nAnswer: 641382840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.1. Let x = -289\/56 - -39\/8. Let a(t) = t**3 + 6*t**2 + 4*t - 1. Let f be a(-5). What is the second smallest value in f, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -87. What is the closest to 0.02 in -3, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002041023 (base 5) to base 15.\nAnswer: -293b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-12)*(-2 - 1). Suppose -y*q + 457 = -2*q + r, -150 = -q + 2*r. Suppose -5*h + 364 = -g, 2*h - 4*g = -2*g + q. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 - 256 - 28*y)*(0 - 2 + 0) + 0*y + 8*y - 4*y - 28 - 5*y + 28.\nAnswer: 55*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 16 - -9) + 4 + 0 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(208) + -1)*-1 - (2 + sqrt(208)*1 + sqrt(208)))**2 + -1 + -1)*3.\nAnswer: 72*sqrt(13) + 5616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4 + (0 + sqrt(153))*4)**2 + (sqrt(170)*2*-4)\/(1*sqrt(10)*2)).\nAnswer: -2464 - 92*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 9282704 = 9282263 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10134850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22838491 divided by 22838491.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*r = -147*r + 11907 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638297?\nAnswer: 3, 29, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 912, 10, -5, -4 in decreasing order.\nAnswer: 912, 10, 9, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 830 = 4*l + 1011, -3*v = -5*l - 2280. Let m = 437 + l. Let g(u) = -u + 1. Let a(c) = -13*c + 12. What is m*g(k) + 2*a(k)?\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 2. What is h(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*m = -328*m - 1080. Suppose 120 = m*d - 420. Put 5, 2, 1, d in increasing order.\nAnswer: 1, 2, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/399045 and 17\/3885.\nAnswer: 2793315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*n = 2 + 2, 4*n + 22 = 2*b. Let g(u) = -4*u - 2*u**2 - u - 12*u**b + 4*u. Let z be g(-1). What is the highest common factor of 99 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 v, and 1 f when four letters picked without replacement from yfffeyafvaaaveyvt.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1259 + -1255. Which is the closest to -1? (a) 0.59 (b) 1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**5\/20 + 4*i**4\/3 - 7*i**3\/3 - 10*i**2 - 50*i + 2. Calculate v(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3113 = 252. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5241070 divided by 5241070.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855040.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 4116.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4a709 (base 13) to base 15\nAnswer: -2aaa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910171?\nAnswer: 910171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:18 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/15*1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 29620e?\nAnswer: 29620e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 24*a**4 - 3*a**3 + 2*a - 95*a**2 - 22*a**4 - 33*a**2 to p*a**3 + n + x*a + f*a**4 + s*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2068 + 2070. Put -2\/5, 2\/9, 0.1, -5\/4, v in ascending order.\nAnswer: -5\/4, -2\/5, 0.1, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f - 51*f + 105*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:05 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 1591 - 361 + 699 in the form g + j*o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63*(-15)\/225*(-10)\/6. Sort v, 5, 6, 3 in ascending order.\nAnswer: 3, 5, 6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((10\/(-15))\/(1\/12))\/(-2). Let k(t) = t**3 - 4*t**2 + 5*t - 9. Let w be k(l). What is the tens digit of 647\/w + (-22)\/(-121)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*m - 30*m = -492*m - 211*m - 1736. Suppose 20 = 2*v + 3*v. Suppose 3*k - 3*s + 17 = 2, v*k + 2*s - 4 = 0. Put -6, k, m in ascending order.\nAnswer: -6, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h**2 - 10*h**4 - 3 + 2 + 8*h**4 as j + d*h + k*h**2 + u*h**4 + w*h**3 and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 31421?\nAnswer: 31411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 62*z**2 + 337*z + 53. Calculate f(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 = q, -3*i + q = -11. Let j be i*(1 + 2\/(-1)). Let s(g) = g**3 - 2*g**2 + 3*g**2 + 3*g**2 - 1. What is s(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17444 is divided by 5797?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56981137\/286 + -2323232\/13. Let n = -20528 + b. Calculate the common denominator of 207\/(-42) + 2 + -1 and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -4. Suppose -3*k - 24 = -d*k + 4*u, -8 = -k + 2*u. Suppose k = -2*b, -2*x + 3*x = 2*b + 12. Solve 0 = -v + 4 - 0, 5*r + x*v - 36 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 45*i**2 - 267*i - 3. Let b be q(6). Solve 5*p = b, -4*p = 5*d - 2*d - 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 423770 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 8400\/450*(-18)\/(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*k + 22, t - 24 = -3*k - 2*t. Suppose 5*w = 2*w + k*w. Suppose w = -2*h + 8*h - 330. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6765 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g - 400782 = -401382 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**6\/120 - s**3\/6 - 97*s**2. Give r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 57.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16771388 and -3.\nAnswer: 50314164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, v: 3}. Give prob of sequence ivvi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76224? (a) 2\/9 (b) -5 (c) -0.01 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/5, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 20200 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -464*f + 90514. What is h(194)?\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3372)\/(-15))\/(56\/980)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -253*k**3 - 7*k**2 - 6*k - 6. Let p be a(-2). Calculate the greatest common factor of p and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 344*b**2 + 787*b + 37. List the prime factors of d(11).\nAnswer: 2, 139, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 + 243*d**2 + 3695*d - 422499 = 0.\nAnswer: -217, -59, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.1. Let g = 1 + -0.8. Let k = g - 0.3. What is the third biggest value in j, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -22. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10*(4 - (-14693)\/(-3675)). Let v = 41709\/1750 + z. What is the common denominator of -53\/102 and v?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-864)\/6 + -2 + 6. Let f = 141 + p. Let l be (0 + 0)*(-1)\/(-2). Which is the third smallest value? (a) 0.1 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73948452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r - r**3 - 7*r)*(-14*r + 125 - 125) - 18*r**4 - 254*r**4 + 140*r**4 - 236*r**4 to h*r + q*r**4 + v*r**3 + a*r**2 + u and give q.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - k**2 - k**2)*(-4*k**2 - 332*k + 332*k).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8)\/q**(-4\/7))\/(q\/q**6*q**(2\/5)))\/((q\/(q\/(q**(-11)\/q)))\/(q\/q**(-3)*q))**49 assuming q is positive.\nAnswer: q**(29056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 650\/117)*3645\/81.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44338, 88699, 133060, 177421, 221782, 266143?\n\"Answer: 44361*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6407142 and 7030?\nAnswer: 32035710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14315 and 112478681.\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2\/9, -1\/6, -25399 in descending order.\nAnswer: 2\/9, 1\/6, -1\/6, -25399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 40 and 0.09?\nAnswer: 39.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223*i**2 - 225*i**2 + 50 - 15 + 18*i**3 wrt i?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l + 34. Let b(g) = -1. Let u(d) = -5*b(d) + y(d). Let t be u(10). Does 23 divide t\/(-1*(-1)\/(-106))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-20)*2)\/(24*103\/(-4120)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.9 - 236.9. Let w = v - -229.95. Let j = w - -0.05. Put -1\/5, 3, j in decreasing order.\nAnswer: j, 3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6354.9 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 19. Let x = f - 12.1. Which is bigger: 2\/9 or x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/23)*f**(2\/9))\/((f**(-2)\/f)\/(f**11*f*f)) assuming f is positive.\nAnswer: f**(3340\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -470, -0.1, 0.2, -23, 2?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = 558*h - 559*h. Calculate the remainder when h is divided by 61.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prru when four letters picked without replacement from {r: 4, a: 1, u: 4, t: 1, p: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 102 + 260*d**3 - 102 + d**2.\nAnswer: 260*d**3 + d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/30 + (-322482)\/(-4260).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - v**4 + 4*v**2 - 14*v**2 + v + 8*v**2 + 2*v**3 in the form g*v**3 + o*v**2 + w*v**4 + k + a*v and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9 - -4. Let f = 0.1 - l. Let q = -18 - -17.84. Which is bigger: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6060084*f**3 - 8448727*f?\nAnswer: 36360504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = -r + 4*r. Let i be (-42)\/(-8)*(-8160)\/(-1428). What is the greatest common factor of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 70605112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29710 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 7:27 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 17*k - 7. Let y be c(5). Find the second derivative of y*b**3 + 6*b - 17*b - 79*b**3 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60678913.2 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/5 - 65338*y**3\/5 - 533337654*y**2\/5 + 960961946*y - 4271406736\/5 = 0?\nAnswer: -16339, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 23\/4 (c) 1\/4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*q**2 + 2015 - 2015.\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, y: 2}. What is prob of sequence jy?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (12 + -8 + -2 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = 0, 0 = 4*z - 2*d - 451 + 65. Let m = -21 + z. Suppose -m = -5*p - 7. Round p to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*o**2 - 2 + 9*o + 2 - 20*o + 10*o + 224*o**2.\nAnswer: 68*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 7:17 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12376 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -80 + 1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 1\/3*v**6 + 0*v - 4 + 0*v**2 + 0*v**5 - 1\/2*v**4 + 0*v**3. Suppose g(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/7 + 298*b\/7 - 296\/7 = 0.\nAnswer: 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -48*y**2 - 11*y - 11. Let f(c) = 26*c**2 + 6*c + 6. Let w(x) = 11*f(x) + 6*s(x). Factor w(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 291, 5, -5 in increasing order.\nAnswer: -5, -2\/3, 5, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = -7. Let p be (-4)\/14 + 112\/49. Calculate the remainder when 3 - (6\/p - 22) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1557 + 1025. Let x = 591.6 + g. Round x to zero dps.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + 12. Suppose -23 = -3*r + i, -2*i + 14 - v = -3*r. Sort -4, r, 0 in descending order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.7. Let z = m + 0.1. What is the nearest to z in 2\/5, -5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5080 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 26053060*u - 78159216.\nAnswer: 4*(u - 6513268)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -537, -1305, -2369, -3723?\nAnswer: -5361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 122245.82301\nAnswer: 122245.72301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126534781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 5. Let k(u) = 5*u**3 - u**2 + u - 1. Is k(l) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.06, -0.1, -1, 298, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**3 + 5*p**2 + 5*p - 4. Let r(g) = -g**2 - 2*g + 1. Give d(w) + 4*r(w).\nAnswer: 11*w**3 + w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q + 3 + (-9 + 34 - 8)*(-q + q - 3*q))*(3*q**3 - 4*q**3 - q**3).\nAnswer: 100*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {m: 1, d: 3, h: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 643333826 + 4484.\nAnswer: 643338310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-51)\/(-6) + (-3)\/(-6). Suppose -8*f = -z*f + 8. Let t = 9 + f. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75085912 divided by 473.\nAnswer: 158744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17220 by 2870.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 4. Let x be d(7). What is the second smallest value in x, 0.3, 57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6 - 128346404*d**3 - 295916166*d**2?\nAnswer: -120*d**3 - 770078424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a1a9 - 4?\nAnswer: -1a1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(4\/7)*r))*r)\/r*r**(2\/9)*(r*r**7)\/(r\/((r*r*r**2\/r)\/r)*r*r*r)*r**(2\/11)*r*r*r**1*r**(-3\/7)*r**6 assuming r is positive.\nAnswer: r**(12160\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:52 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2285364521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 19*r - 64. Give c(9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2779 divided by 397\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(1\/2)\/w)\/w)\/(w**(-3\/4)*w)*((w\/(w*w**(3\/8)))\/w*w)**(-35))**(3\/2) assuming w is positive.\nAnswer: w**(297\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 135960 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 not equal to -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(20)\/sqrt(5))\/(sqrt(18) + sqrt(72)\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 4*m**2 + 5*m + 4. Let q = 3349 + -3340. Let b(x) = -7*x**3 - 9*x**2 + 11*x + 9. What is q*z(v) - 4*b(v)?\nAnswer: v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52543 - 12?\nAnswer: 52531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 4*s**2 - 8*s - 14. Let r(a) = -2*a**3 + 6*a**2 - 8*a - 16. Let d(g) = -4*m(g) + 5*r(g). Solve d(p) = 0 for p.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3940)\/94 + (-81228)\/(-1934)\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1264\/679 + 579087\/196910. Let h = y + -17\/10. Let k(u) = u - 2. Let x be k(0). Is h at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 205*d + 224. List the prime factors of w(36).\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41560 divided by 8312?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/549 + 8\/(-90)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 20 = 8*q - 5*i, 5*i - 15 = 2*q. Suppose 73*a - 78*a = -5*y - 25, -3*y = 2*a + q. Solve -2*l - 3*b + 6*b - 15 = 0, a*l + 18 = 4*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/24 + 2*z**2 + 5*z. Let f(c) be the first derivative of n(c). Let h(x) = 24*x. Calculate h(f(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6169244 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-144))\/(2\/(-4)). Suppose r = -4*z + 21, -2*r + 0*r = -2. Which is the nearest to -5? (a) 1 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/11 + 11808*l**2\/11 - 23528*l = 0. What is l?\nAnswer: 0, 22, 5882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -7492091 and -7492091 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-98)\/(-42))\/(2\/78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-2 - 6\/(-2)). Let q = s - -7. Is (-4)\/(-6) - (-314)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*1*sqrt(170)*-4)\/(((sqrt(100)\/sqrt(2))\/sqrt(5) + sqrt(10) + (sqrt(40)\/(sqrt(4) - (sqrt(36) + sqrt(4))) - sqrt(10)))*-5).\nAnswer: -18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -629\/4. Let l(i) be the first derivative of 0*i**2 - o*i**4 + 0*i**3 - 3*i + 3. Find the first derivative of l(w) wrt w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 + 6*o + 9. Let l be m(7). Suppose 0 = l*z + 2*z - 12. Find the third derivative of -2*b**3 + b**2 + z*b**3 - 3*b**3 - b**3 wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4659*q**2 - 9*q - 25. Is l(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, -3, -64, -125, -186, -247?\n\"Answer: -61*z + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39\/10 - 487\/130. Suppose 0 = -o + 3 - 6. What is the smallest value in k, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 23986?\nAnswer: 5\/11993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131)\/393*(-1275)\/(-125).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19865 at least -19865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000105766 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 76, 169, 310, 505?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:38 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 31*c + 276 = 0. Calculate the greatest common divisor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56181853?\nAnswer: 7, 13, 47491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-6) + ((-1)\/1)\/3. Let c(o) = -o - o**3 - 96*o**j + 96*o**2. Determine c(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 19*l**2 + 15*l - 51. Let u be t(-18). Find y, given that -17 + 10*y**2 + 10*y + 67 - 1255*y**u + 1260*y**3 - 75*y = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 31. Let f(x) be the first derivative of -21*x**2\/2 + 3*x - 2. What is the remainder when f(a) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1884\/(-157))\/(4*2\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 150 - 20 - 85?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*-4*2*sqrt(136))\/((sqrt(1152) - (sqrt(1152) + -1*sqrt(1152))*6) + sqrt(1152)).\nAnswer: 25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4805760 and 17280?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9738384 is divided by 7262?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715033694?\nAnswer: 2, 653, 547499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + 0*k**2 - 8*k**2 + 3*k**2 + k + 2*k**2. Let j(l) = -5*l**2 - 5*l + 3. Determine -j(x) - 3*o(x).\nAnswer: 2*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 3*o + 13. Let c(p) = -p**2 - p - 1. Let u(s) = -c(s) + y(s). Let q be u(-8). Calculate the common denominator of q\/96 + (0 - -3) and 119\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 739 and 3762249?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, r: 2}. Give prob of picking 3 x.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177392 = 5*d - 4*z, 5*z - 70970 = 5*d - 7*d. What are the prime factors of d?\nAnswer: 2, 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246 + 245.95. Let m = t + -0.95. Put -3, m, -4, -0.2 in decreasing order.\nAnswer: -0.2, m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 4*j**2 + 4*j - 5. Let h(n) = n**3 - 3*n**2 + 3*n - 4. Let l(t) = 15*t - 3. Let r be l(2). Let f = r + -24. Give f*i(z) - 4*h(z).\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 129697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 11) in base 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((3 - 3) + 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 45) + 5 + -1 + (766 - 748).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a meter in millimeters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11922, -1, 0.02.\nAnswer: -1, 0.02, 11922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -15*s**2 + 463*s + 38. What is q(30)?\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2758 = 230*r - 33*r. What is the smallest common multiple of r and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-24))\/((-7)\/6 + 1). Suppose 4*l + f*p = 2779, -4*p + 476 = l - 227. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 5}. Give prob of picking 4 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-4) - 12\/(-48)) + 22. Let n = -18 + m. What is the smallest common multiple of n\/((-1)\/(-2) + 0) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472349873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 3 = 2*b + 5*x, -4*x = -2*b + 114. Calculate the remainder when b is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240312803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from mmmmrrm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6318 and 6630.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -75109 in increasing order.\nAnswer: -75109, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 u when four letters picked without replacement from nnnnnnunuunnnnn.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by ((-9)\/6)\/(((-9)\/30)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 17*i**3 - 8*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 47. Factor 0 + 0*v**2 + 0*v + 1\/4*v**4 + 0*v**m.\nAnswer: v**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 49*n**2 - 392*n - 5488 = 0. What is n?\nAnswer: -7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 248711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4 - 80\/160*2*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 2*r + 6*r + 3*r**4 - 11*r - 2 + 2*r + 5*r**3 in the form a + b*r**2 + o*r + q*r**4 + n*r**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 120*y + 1. List the prime factors of p(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22 = 5*m, -x + 6*x - 30 = 5*m. Suppose 2*w + w - 4*o + 12 = 0, o - 3 = 3*w. Let r = w - -2. Solve x*g = 3*g + r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -10, -15, -32, -67, -126, -215?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 6\/5, -5, -18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172376 and 1392.\nAnswer: 1034256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411943992 to the nearest integer?\nAnswer: 20296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3541 and -103\/658626.\nAnswer: 658626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3222 + 200?\nAnswer: -3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (324\/(-66))\/(-2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3698413 and 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 15, -k - 20 = -u + 4*k. Suppose 3*s - 59 = u*p, 0*s - 35 = -3*s - p. Suppose -41 = -4*c - s. Solve c = -o + q + 4, q + 27 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:03 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/114265946 and 97\/221392.\nAnswer: 914127568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28504 - 15680. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 12) in base 8?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/7 - 242*w**2\/7 - 1048*w\/7 + 225992\/7 = 0. Calculate w.\nAnswer: -106, -41, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*a - 11. What is the remainder when 37 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*s - 51084 = 1553*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-455))\/(((-60)\/(-14))\/(-15))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 5. Let n be s(-4). Let k(t) = -78*t + 3. Let i(z) = 235*z - 9. Let x(m) = n*k(m) + 4*i(m). Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iktrikkrtkaakak. Give prob of picking 1 a, 1 i, and 2 t.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2260, 18303, 61862, 146677, 286488, 495035, 786058?\n\"Answer: 2290*t**3 + 18*t**2 - 41*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = -4*d, 5*d + 5*r - 2 - 13 = 0. Suppose -7*u + 23*u - 240 = 0. Differentiate u*c + 0 - 4*c + 4 - d*c wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*t = -660, -4*k + 528 = -5*t - 852. Let c be k\/(-85)*(-26)\/4. Calculate the greatest common divisor of c and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3047, 3375, 3703, 4031?\nAnswer: 4359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -149. Calculate the least common multiple of m and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from oqioipiyin?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 1376725303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 8*n**2 + 7*n + 4. Let z be c(-7). Suppose 5*d + 3 + 1 = l, 3*l = -z*d + 69. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 26. Let j = 65.9 - 66. Let p = -0.4 - j. Do p and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 + 75\/8*y**4 - 1665\/8*y**3 - 7209\/4*y**2 - 2679\/2*y = 0. What is y?\nAnswer: -6, -2\/5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 - 1.9. Which is the second biggest value? (a) 1\/3 (b) -1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*((sqrt(128) + 1 + sqrt(128) + -5 - (-3 + (sqrt(128) + sqrt(128)*-2 + sqrt(128) - sqrt(128)))**2) + -4)*-1*2.\nAnswer: 320*sqrt(2) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -76.6. Let u = r + -6. Let m = u - -0.1. Which is the second smallest value? (a) 1\/4 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q + 1. Suppose 2*l + i = -4*i - 20, -5*l + 4*i + 16 = 0. Let o = -3 + l. Is c(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -767 (base 14) to base 2\nAnswer: -10110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1006383142 to the nearest integer?\nAnswer: 31724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 29*q + 37. Let s(a) = 485*a. What is s(w(o))?\nAnswer: 485*o**2 - 14065*o + 17945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 4*w**2 - 26*w + 139. Calculate d(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -5) + (3 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 54. Let y(g) = 1. Give -w(k) + 6*y(k).\nAnswer: -k - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33479 * -5.\nAnswer: 1.67395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43240, 43248, 43256, 43264?\nAnswer: 43272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 7. Let n be p(-3). Suppose -4*x - 4 = 2*o, 26 - 3 = 2*o - 5*x. Suppose -8 = -0*t - o*t. Sort n, t, 3 in decreasing order.\nAnswer: n, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -471 - -492. What is t rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 129 = 2*u. Suppose 4*k = -k + u. Let x be -3 + k\/(-6)*-15. Calculate the greatest common factor of x and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -109 (b) -0.2 (c) -5 (d) -599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k + 2*k**2 + 5*k - 9*k in the form q*k + n*k**2 + f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 greater than or equal to -23219\/144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 242504.3ng in micrograms?\nAnswer: 242.5043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(847)*1 + (5*1*sqrt(847))**2.\nAnswer: 11*sqrt(7) + 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2462299 and -2462299 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2083921 + 3006735. Let z = -922813.4000055 + g. Let m = z + -0.6. Round m to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552997?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1032476.344 and 14?\nAnswer: 1032490.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.134015 years in millennia?\nAnswer: 0.006134015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w - 1. Let c(k) = -1001 - k**3 + 4*k - 990 + 4*k**2 + 2039. Give c(i) - 4*m(i).\nAnswer: -i**3 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*o = -2*o + 1, 3*o + 11 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose -14 = -f*t + 2*t. Let v(m) = -4*m - 6. Calculate the smallest common multiple of v(t) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 17 = -33*i. Let o be (-7 + 1)*3\/9. Let v be (0\/i)\/(-2 - (o + 1)). Solve v = -3*f + 6*f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144436 by 3.\nAnswer: -144436\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 28*f + 116. What is d(26)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2155748 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 416503, 833011, 1249519, 1666027?\n\"Answer: 416508*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -67*i**2 + 7*i - 8. What is v(1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooodtddddddodddodo. What is prob of sequence odd?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2483330*z**2 - 21*z - 6. Suppose -4*c - 4*c - 48 = 0. Let u be d(c). Round u to the nearest one million.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337699664.\nAnswer: 2, 29, 181, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 813205 = -2*m - m, -u + 2*m + 406585 = 0. Suppose 176*b - 6890355 = 185*b. Let s = u + b. What is s rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 6:59 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3597478875 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(5\/20). Let f = 11 + c. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 17. Let n be v(11). What are the prime factors of (-34)\/n - 2\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/5 - -1\/5. Let k = 2\/21 + 4\/21. Which is the nearest to 0? (a) m (b) k (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11439, -11440, -11449, -11472, -11515, -11584, -11685?\n\"Answer: -k**3 + 2*k**2 - 11440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 2. Suppose -18 = -336*n + 342*n. Let z(f) = -3*f - 5. Let y = 4 + 1. Give n*z(x) + y*b(x).\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.044 + -0.444. What is the smallest value in 0.4, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(-7*n + 11*n**4 - 13*n**4 + 6*n) to the form h*n**2 + w*n**3 + z*n**4 + u*n + y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/4)\/(2\/(-392)). Let f be ((-126)\/k)\/(2\/(-14)). Let r(u) = 40*u**2 + 7*u + 1. Is r(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27586 + 27583 + r + 27583 + 2*r + 27586 - 110338.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 59?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3623 + -3615. Solve -o*k = -65 + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*k + 27. Calculate the remainder when 33 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -505245151 - 22?\nAnswer: -505245213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose 5*z - 8 = s. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 + -4 - (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*4 - (-143)\/(-88) and 27\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -14.4. Let t = 1 - w. Put t, 1\/2, 0.2 in decreasing order.\nAnswer: 1\/2, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 750 - 225. Let a = 2782 + k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 4. Let o be n(-2). Does 15 divide (4 - -8)\/(o\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*d + 26984 = -257*d - 3477 - 2891 for d.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, -64, -7, 4, -12.\nAnswer: -64, -12, -7, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 9*k**2 - 4*k + 5. Let l be u(-9). Let g = 13 + l. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(4 - 5 + 0)*((5*j - 3*j + 4*j)*(2 - 2 + 2) + (1 + 2 - 1)*(-j - 4*j + 6*j) + 2*j - 5*j + 2*j) in the form r + g*j and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 12\/7 (c) -146 (d) -7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u + 4. Let h be (3 + -1)\/(0 + u). Let d = 0 - h. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 6*a**2 + 11*a + 4. Let o be x(6). Let d be (120\/o)\/(9\/84). Suppose -3192 - 168 = -d*f. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230241 (base 6) in base 2?\nAnswer: 10000001010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20329988 divided by -5?\nAnswer: 20329988\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2 and ((-345)\/(-29475))\/(4*(-4)\/48).\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - 25*n - 29*n - 152*n**2 + 6*n**3 + 53*n to f*n**2 + i + r*n**3 + z*n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/159581, -1, -1\/2, 6, -3\/10, -2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*p**2 + 126*p**2 + 211*p**2.\nAnswer: 478*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 2001202220?\nAnswer: -2001202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/7 + 415388*n**2\/7 + 21577534450*n\/7 + 948607495000\/7 = 0. Calculate n.\nAnswer: -103825, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(882))\/(-3*sqrt(216)).\nAnswer: 56*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15119\/6310 + 5\/1262. Determine r so that 1\/5*r**3 + 8\/5 + 6\/5*r**2 + n*r = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 37, -4, 1\/3, -11\/5, -558 in ascending order.\nAnswer: -558, -4, -11\/5, -1, 1\/3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -141.425 = -32\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 18. Let b be (4 - 3\/c)*-6. Which is smaller: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553451961 to the power of 1\/2, to the nearest integer?\nAnswer: 23526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/4071 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, 0.47, -5?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i - 134. Give w(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-38)\/6 + 6)*0. Let t(d) be the second derivative of 1\/6*d**3 + 1\/10*d**5 + 0*d**4 + 0 + p*d**2 - 5*d. Find the second derivative of t(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggggggogog. What is prob of picking 2 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 116.1. Let z = 15 + -8. Let j = r - z. Which is smaller: -2\/7 or j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-496)\/186)\/((-32)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 3*w - 7. What is the highest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 11*r + 53. Solve -w + 4*s = 3*s + 7, -w + r = 2*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 987231 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**7\/2520 + 7*l**6\/720 + 11*l**4\/8 + 5*l**2 - 1. Let c(p) be the second derivative of q(p). Calculate c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (-5 + 15 + 3 + -10) - 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4393?\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-140)\/50 + (-2 - (-18)\/10). Let d(k) = 7*k**3 + 4*k**2 - 7*k + 11. Let g(v) = -4*v**3 - 2*v**2 + 4*v - 6. Let n(h) = -3*d(h) - 5*g(h). Give n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - i = -0*i - 40, 3*i + 51 = 4*v. Suppose -109 = -3*q + 2*h + 192, -q + 2*h = -103. What is the remainder when 3\/12 - q\/(-4) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12.61892 litres?\nAnswer: 12618.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 606, 1209, 1812, 2415, 3018, 3621?\nAnswer: 4224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 286 divided by 11\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 280*m**2 + 2*m + 117. Is j(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1\/12*o**4 - 2*o - 1\/6*o**3 - 1\/2*o**2 + 0. List the prime factors of x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 241 = -52. Let h be (1 + 6 + 2)\/1. Calculate the highest common divisor of h and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllllllelllelll. Give prob of sequence elll.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 2:05 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(-9)\/54*8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2, t: 4, r: 3}. Give prob of picking 1 n and 1 t.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 4. Let y be c(-1). What is the nearest to 2\/5 in 1, 3, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.836224 microseconds?\nAnswer: 6836.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23256600 rounded to the nearest 100000?\nAnswer: -23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 26*u + 14*u = -77 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -465 - -464.7. Sort x, 0.39, 4.\nAnswer: x, 0.39, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-4)\/168*3). Let i = -72 - -216. Let o = f + i. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 3 - (130 - (99 + -15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.98916 kilometers in meters?\nAnswer: 55989.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106383215 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/80)\/((-28)\/(-14))*2 + 1?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9593302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000242161 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4) + -4 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/100527?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 486711441?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 42 = -11*y, -12*y + 8*y - 43 = 10*a - 3*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-16 - (-16 + 0 + -6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 279429.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*c + 241 + 133 = 0. Put 26, c, 128 in decreasing order.\nAnswer: 128, 26, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201121201 (base 3) to base 8\nAnswer: -33736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1671.2\nAnswer: 1671.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000675477951 rounded to 7 dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1891 or 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5397708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckcciccccckcccivcciv. Give prob of picking 2 c, 1 k, and 1 i.\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19856*i = 19789*i + 268 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4457084427 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -24. Let x be d\/12 + (-3)\/(-2). Solve -x*f - 25 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39775 divided by -1591?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 8*o - 8 = 0. Solve r + 5 = q, r + 4*q - o*q - 10 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19 = z, c - 2 = -4*z - 27. Let g(t) = -t**2 - 8*t - 4. Let a be g(z). Suppose 3*y - 4*y + a = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38.5 and 161.\nAnswer: -6198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-1100)\/22)*50?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*a - 2, 5*t - 2*a + 5 = 27. Suppose 3*s + 66 = -3*o, -5*s + s = -3*o + 60. Sort t, s, 0.\nAnswer: s, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**3 - 3*y**5 + 8*y**4 + 7*y**5 - 3*y**3.\nAnswer: 4*y**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-471)\/9)\/(2\/(-6)). Let v = z + -110. Is v + -1 + 1 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 16. Let m = y - -7. Let s = m - 11.4. Which is the closest to 0.1? (a) 0 (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = q. Suppose j - 4*h - 14 = 0, h + q = 2*j - 6. Find the third derivative of 0*i**j + 4*i**2 + i**6 - 2*i**2 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-7 - -7643 - 7 - -2). What is a rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 207713746 to the power of 1\/3, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504*-2.51.\nAnswer: 1265.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*q - 409*q + 290*q - 579*q.\nAnswer: -887*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2404.4 and 0.5.\nAnswer: -1202.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10110110100101010 (base 2) to base 8\nAnswer: -266452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 3, -22, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -430 - -828. Suppose -5*t + 3*t - s = 0. Round t to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-790)\/3476*(-16)\/(-10).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/193 or -2?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128\/7 - 36\/7*u**4 + 52\/7*u**3 + 128\/7*u + 344\/7*u**2 = 0. Calculate u.\nAnswer: -2, -1, 4\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 - 17*x**2 - 10*x**2 - 2*x**2.\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(57)\/sqrt(3) - ((0 + sqrt(171))**2 - sqrt(171))) + (6*4*sqrt(38))\/sqrt(2) + -3.\nAnswer: -174 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*q + 269, 60 + 82 = q + 3*l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 5e?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 6.4 (b) 1 (c) 1\/217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1041484 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 655202 divided by -1.\nAnswer: -655202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(8\/9)*n*n\/(n\/(n**(-16)*n)*n*n)*n assuming n is positive.\nAnswer: n**(-127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 6.6, -0.21, 0.23 in increasing order.\nAnswer: -0.21, 0.23, 6.6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (0 - 0))*5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1946 divided by 139?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/((2\/2)\/(37\/(-74))))\/(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = -2*w - 48, 0 = v + 5*w - 12. Calculate the remainder when 131 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 2 + 4*k + 3\/2*k**2. Let w(g) = 2*g + 3. Determine -7*w(i) + 5*z(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 11, -4\/3, -72, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l*y**6 - 2*l*y**5 + 2*l*y + 88*y**2 wrt y.\nAnswer: 360*l*y**3 - 120*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 - 89\/24*l**4 + 0*l - 19\/2*l**3 - 28*l**2. Differentiate o(b) wrt b.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30454 (base 10) to base 2.\nAnswer: 111011011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/93561?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145, 326, 501, 664, 809?\n\"Answer: -r**3 + 3*r**2 + 179*r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1)\/(-24 - -25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 times -5?\nAnswer: -4685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178179 to the power of 1\/2, to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2071407.108 + 2076110. Let p = a - 4653. Let o = -50 + p. What is o rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwy when four letters picked without replacement from {q: 3, w: 3, g: 2, y: 1, f: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 + -234. Let u = -164.2 - -164. Which is the closest to 1? (a) 3 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1539) + -4)**2 + -2 + (0 + sqrt(684) + sqrt(19) - -1*(sqrt(19) - (sqrt(19)*-2)**2)).\nAnswer: 80*sqrt(19) + 1477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.1, 1\/4, 5, 8\/139?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l**2 - 76*l + 1. Calculate c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 30846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*u - 10. Let r(p) be the second derivative of -4*p - 1\/2*p**4 + 0*p**3 + 0*p**u + 3\/20*p**5 + 0. Find g, given that r(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 45 and 45 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 27*l - 48. Let d be w(4). Calculate the greatest common divisor of 72 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/791? (a) 3 (b) 31 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -6. Suppose -3*v = -y*v + 3. Let c(q) = -v - 1 + 2 + 2*q. Let z(s) = -3*s**2. Give z(c(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1532*g - 2404*g + 37555 + 11271 = -14150 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2057)*4*-2 + -5 + (1 + sqrt(2057) + -2 + sqrt(2057) - (sqrt(2057) + 0 + sqrt(2057))*1)**2)*-1.\nAnswer: 5 + 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006884605 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1202349 divided by 10\nAnswer: -1202349\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/6*((-96)\/(-1008))\/(6\/(-108))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22916, -91867, -206788, -367679, -574540, -827371, -1126172?\nAnswer: -1470943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179879301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*y = -18, 3 = n + 5*y + 13. Let i be 1*n*(-1 + 2). Let w(h) be the third derivative of h**4\/24 + h**3 - 406*h**2. Calculate w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1217347 and 8319.\nAnswer: 3652041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35622*s - 22755 wrt s.\nAnswer: 35622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + (-16)\/20 + (-116)\/(-20)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -33868?\nAnswer: 13547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-14))\/((-4)\/28). Solve -4*u + k = -8*u, -2*u = -a*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9516 - -0.0484. What is the closest to 1\/2 in -1, k, 4\/25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4095\/8190)\/(2\/196).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 237?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 529, 1939, 4295, 7603, 11869?\n\"Answer: o**3 + 467*o**2 + 2*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1239 = -5*i, -i + 184 + 59 = -5*k. Let m = i - 248. Solve 2*l - 4 = m, -x - 4*x - 2*l + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51541, 51532, 51517, 51496, 51469, 51436, 51397?\nAnswer: 51352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3770 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 t when three letters picked without replacement from gumtamgt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3 - s. Suppose 7*g - 5*g - c + 7 = 0, -4*c + 16 = 4*g. Give f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2770733 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639 is divided by 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let z(m) = -391498807*m. What is z(b(i))?\nAnswer: 391498807*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -807 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 20*b - 6. Let r be x(2). Which is smaller: r or 248\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(5 + (sqrt(133) + (sqrt(133) - (-2*sqrt(133) + sqrt(133))))\/sqrt(7) + -2 + -1*1*sqrt(2299)*-3)**2.\nAnswer: -615825 - 5400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/24 + 2*z**3\/3 + z**2. Let o(x) be the first derivative of x**2\/2 - 6*x + 706. Give 8*m(h) + 5*o(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 30*g + 88. Let w be f(27). Let t be 10\/(-4)*w\/(280\/(-32)). Factor 1\/2*o**t - 2*o + 3\/2.\nAnswer: (o - 3)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 13. Let f be 0\/(-2 - -4) + 57. Let l be (k - -1)*-3 + f. Calculate the highest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16\/7)\/(p\/(p*p**(-2\/7))))**(12\/7) assuming p is positive.\nAnswer: p**(-216\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168254816*h**2*o - h*o - h - 2191*o + 7064 wrt h.\nAnswer: 336509632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + 0*f**5 - 2*f**5 + (-4*f + 0*f + f)*(-63*f - 9*f - 33*f)*(-11*f**3 - 12*f**3 + 0*f**3).\nAnswer: -7246*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*r + 3*x + 1, -2*r + 5*x + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*g - o, -2*g + 1 = -2*o - 13. Let t be ((-12)\/21)\/(1\/(-7)). Suppose 4*k + t*r - 277 = -r, 3*r + 301 = g*k. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = 6. Suppose -2*p = p + d. Let f be (p - -2 - 0) + 1. Solve r + 6 + 5 = -2*w, f = -2*r - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o - 2. Let q(c) be the second derivative of -13*c**3\/6 + 3*c**2\/2 - 178620*c. Let h = -10 + 3. Give h*b(l) - 4*q(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 9 = 8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 9*x = -14*r - 326 + 14, 3*x - x = 2*r + 156 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.09 + 4.09. What is the closest to r in -4, -1\/4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1593 - 1586. Solve 4*n = p*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/3 + 21\/(-7). Which is greater: 2\/103 or q?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -534, -1052, -1570?\nAnswer: -2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -508*v + 78. Let g be l(-4). Factor 7*r**3 - 2097*r**2 + 5*r**3 + g*r**2 - r**4.\nAnswer: -r**2*(r - 13)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6379116 litres?\nAnswer: 637.9116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5844633.90000321 - -5844627.5. Let a = z + 6.4. Round a to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6838072 by -1784.\nAnswer: 3833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 72*n**2 + 75*n.\nAnswer: -3*n*(n - 25)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0777 + -0.084. What is v rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 643 - 3?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*-5 + sqrt(133)\/(-2*sqrt(700) + sqrt(700)) - (-1*sqrt(76)*-3)\/(3*sqrt(64) + sqrt(64) + sqrt(64) - sqrt(64)))**2.\nAnswer: 111547651\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/124448 and -151\/12297018?\nAnswer: 196752288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8267*g**2*l**3 + 2*g**2*l**2 + 74174*g*l**2 - 3*g*l + 342*l**3 + l wrt l?\nAnswer: -49602*g**2 + 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -13*d + 17*d. Calculate the least common multiple of d and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 1\/4 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*a - 369 - 303, 3*c - 494 = a. Let q = c - 84. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by 604669\nAnswer: 148\/604669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 1086 + 291 = -47*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1243897 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48504 (base 11) in base 14?\nAnswer: -1b633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98166527 is divided by 529.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4073*w**4 + 56*w**5 + 3*w**3 + 4073*w**4)*(0 + 1 + 0)*(2 - 2 - 2).\nAnswer: -112*w**5 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i**0*i)\/i*i*i*i**23*i\/(i\/i**(13\/2))*i*i\/(i\/i**(-1\/15)) assuming i is positive.\nAnswer: i**(1003\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4158 - 4137. Let l = 12 - 4. Calculate the remainder when w is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2*r**2 + 14*r - 14. Suppose 0 = 6828*b - 6989*b - 966. Calculate g(b).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c**4*t**3 + 8*c**3*t**3 + 16*c**2*t + 9*t**3 wrt c?\nAnswer: 576*c*t**3 + 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8. Suppose d + 4*m = 2*m + 2, n = d - m - 5. Suppose -3*w - 2 = d. Let i(r) = -r - 2. What is i(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 244, 245, 244, 241?\n\"Answer: -u**2 + 4*u + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -138*b + 38. Determine a(-1).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15672 divided by -2.\nAnswer: 7836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.57\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 568, 2281, 5138, 9139, 14284?\nAnswer: 20573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/(-36) + (-28)\/(-42). Let k = -75\/44 + m. Which is the third smallest value? (a) k (b) -6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.86693 + 0.098040949\nAnswer: 20.964970949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-2*3)\/((sqrt(90)*-1)\/sqrt(9)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4, 0, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 247223*r**2 - 3*r - 10. Let c be j(6). Round c to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 85482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s*x - 24839*s - 40070*x - 2 wrt s.\nAnswer: -2*x - 24839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -476*p**3 + 51*p**2 - 51*p. Suppose -584 = -5*m - 269*m - 36. Let s(c) = -19*c**3 + 2*c**2 - 2*c. Calculate m*g(x) - 51*s(x).\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwhmfyhm. Give prob of sequence fyz.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*o - 49 = -7*o, 3*s - 5*o = 11. Let f = s + 4. Let u = 1 + f. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-1 - -5) + -1). Solve 0 = 3*h - 4*v - 6, q = 5*h - v - v + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -1 + -3 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*c - 179*c + 38*c + 2669985 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l**3 - 7*l**2 - 4*l - 10. Let v(t) = -4*t**3 - 4*t**2 - 2*t - 5. Let w(x) = 3*n(x) - 7*v(x). Suppose 18*d + 66*d + 588 = 0. Determine w(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/8*(-22772)\/(-102). Let l = 335 + p. Let u = -16 + 16. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 3*w**2 - w - 2*w + 17 - w**3 + 3*w**2. Let o be g(4). Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 5*t + h, -206 - 214 = -3*t - 3*h. Let n = t + -43. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v - 203. Let w = 33 - 8. What is the remainder when k(-30) is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:57 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -851 less than 100233505?\nAnswer: 100234356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 1 - 1 - 1 + 4. Give i(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/(-21))\/((-5)\/(-35)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**5\/20 + 7*y**4\/12 + 4*y**3\/3 + y**2\/2 + 9*y. Let b be h(8). Let r be ((-30)\/105)\/(b\/(-14)). Solve 2*i - r*i = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164.1 + 443.1. Let v = 3503.9482 + -3224.976. Let w = v - m. Round w to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -392, -585, -776?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, q: 6, z: 1}. What is prob of picking 1 z, 2 t, and 1 q?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27*46\/(-12420)*-70\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*i**3*j**2 - 2*i**3*j - 22*i*j wrt j.\nAnswer: -248*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*0.4352823.\nAnswer: 7.8350814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5413\/2 + -1 + (70\/28)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93601\/20 - 4680. Let l(c) be the third derivative of -o*c**6 + 1\/6*c**3 + 0*c**4 + 0*c + 20*c**2 + 0*c**5 + 0. Find the first derivative of l(n) wrt n.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68679, -225, -1.\nAnswer: -68679, -225, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1846 = -4*q, -6*r = -q - 3*r - 454. Let i = 463 + q. Solve -3*w + 15 = 5*y, -2*y - i*w = 2*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -6. Let d be 6\/s*(-2)\/1. Let c(h) = -2*h + 0*h**2 + d*h**2 - 3*h**2. Calculate c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13030469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 1:36 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/84 and 31\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 20)*130\/40?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001637 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2.1. Let f = 0.0704 + -1.1666. Let b = f - i. What is b rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2520107 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlblyjho. What is prob of sequence hlhb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211 + -1011?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheheeee. Give prob of sequence he.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -24394807?\nAnswer: -24394807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 6. Suppose 0 = -b + f*b - z - 5, 0 = b - 2*z - 10. Solve -2*u + u + 2 = b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -31621367.7964.\nAnswer: -31621367.9964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -977 + 980. Calculate the lowest common multiple of t and 94.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*21\/(-63)*(-4)\/((-144)\/(-4)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 382757657 and -85302.7.\nAnswer: 382672354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10575563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -429606*u**4 + 192421.\nAnswer: -1718424*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1693 - 1686. Let j(l) be the third derivative of 1\/315*l**t + 0 + 0*l**3 - 1\/1512*l**8 - 1\/180*l**6 + 1\/270*l**5 + 3*l**2 + 0*l**4 + 0*l. Factor j(y).\nAnswer: -2*y**2*(y - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6301932)\/(-924) - (-6)\/(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from jjlgujjjjluiiililiii?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 26*a**2 + 66*a + 90.\nAnswer: -2*(a - 3)*(a + 1)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -153*h**2 - 17*h - 74. Let n(v) = 51*v**2 + 6*v + 25. Let o(m) = 17*n(m) + 6*r(m). What is the derivative of o(d) wrt d?\nAnswer: -102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 3193781?\nAnswer: -319377a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -74\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*3\/(-36) + ((-294)\/36 - -2). Let u(l) be the third derivative of l**6\/120 + l**5\/10 + 5*l**3\/6 + l**2. What is u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 79*f + 0 + 1\/7*f**3 - 1\/28*f**4 + 9\/14*f**2. Determine b, given that s(b) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003250772157 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 961437185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16796487793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1 (c) 1\/2 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -23*n**4\/24 - 77*n**2. Let r(k) = 4*k**2. Give z(r(h)).\nAnswer: -92*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2333*b**3 - 4*b**2 - 124*b + 491. Is p(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 10 = -5*l. Let o be (-62)\/(-8) + 7*(-16)\/(-112)*-8. Let m = 0.4 - 0.1. Which is the closest to m? (a) 7 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 2\/9 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 24*m - 9. Let w be y(10). Let f = 48 - w. Is f greater than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - a + 0*a)*(7 - 2*a - 7)*(0 - 2 + 0) in the form i + c*a + b*a**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = -6*z + 3*l, 5*l = 0. Let n be (-3)\/7 + 6757\/70. Let q = 96 - n. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526 a factor of 269915300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5dc + -abd?\nAnswer: -4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2113132210 (base 4) to base 16\nAnswer: 977a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let g = -14.9 + 0.9. Let y = g + 10. Which is the third smallest value? (a) y (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 25.9. Let v = m + 1.1. Let n = v + 4.4. What is the smallest value in -0.2, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13854 and 1149882.\nAnswer: 1149882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27157 - -27157. Solve o*p + 4*p + 5*f = -30, -4*f = -4*p - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 2*r**2 + 2*r - 3. Let k be o(2). Let q be (0 + 2 + -3)*k. Does 11 divide 2 + q + -1 + 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 8772.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1258276, 12 in increasing order.\nAnswer: -1258276, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 78 = -3*n. Suppose -n*v = 0, 3*r - 3*v - 7 = 23. Solve 6*u - u + r = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 2 (c) -2 (d) -6244 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-8) - (-7)\/4*1. Sort 3, -10, a, -2 in ascending order.\nAnswer: -10, -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*k - 4*k = -8, 0 = t + 5*k - 10. Solve t = -5*l + j, -l + 2*j = -6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4\/3, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2022 + 2372. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5215 and -62\/315.\nAnswer: 46935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (-34 - (-14 + -1) - -30).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/78 + 4\/(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32444 (b) -2\/9 (c) 3 (d) 2\/13 (e) -0.1 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 3033231?\nAnswer: -3033231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8000 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 8. Suppose 3*d = -j, 4*p - 3*d + 1 - 3 = 0. Let c(g) = -130*g**2 - 8451*g - 66. Let n be c(-65). Are p and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/7 + 374*o\/7 - 4776\/7 = 0. What is o?\nAnswer: -199, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*d**2 + 1061*d**2 - 347*d**2 - 335*d**2.\nAnswer: 83*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 1084253*y - 1084258*y = 44, -3*w = 5*y - 72 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82035*b*t**6 - 2*b*t**3 + 14202*b*t**2 + 49*b*t + 5*t**4 wrt t?\nAnswer: 9844200*b*t**3 - 12*b + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r\/(r**(9\/4)\/r)))\/r*r**(-2\/43)*((r\/(r\/r**(-6)))\/r)**(4\/15) assuming r is positive.\nAnswer: r**(-4291\/2580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*m + 1152 = 0, 235 = u + 3*m - 43. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 14*v + 52 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, m: 1, r: 2, s: 3, w: 1}. Give prob of picking 1 o and 2 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2333\/600 + -1\/75. Find the common denominator of 133\/6 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -1 - (-122 - -150).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7949*o**3*s + 75337*o**3*t**2 + o**2*t**2 - 2*o*t**2 + o*t - 605*s*t**2 with respect to s.\nAnswer: -7949*o**3 - 605*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-120))\/((-14)\/(-84)). Sort 4, n, 1047 in descending order.\nAnswer: 1047, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -425*m**4 - 541 wrt m?\nAnswer: -1700*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -289*p**2\/2 + 76*p + 505. Differentiate c(w) wrt w.\nAnswer: -289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 174*n**2 + 411*n - 822. Let i be o(2). What is the highest common factor of i and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -33 - (2 - ((-6)\/3 + 7)). Let z = 32 + v. Suppose z*r + 54 = 5*r. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 13*g**2 - 14*g + 20. Let f be n(14). Let m = 1152 - 1131. Solve m*z + f = 17*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-38))\/(1*(-12)\/(-8))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.1, -9, 0.2, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189.4*-11065.\nAnswer: -2095711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -3863 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 6. Let a(y) = 3*y + 5. Let t(p) = -6*a(p) + 5*q(p). Let f(s) = -4*s**2. What is t(f(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v + 1. Let x be c(1). Let b be (-6)\/2 - (38 - -1). Let o be (-6)\/14 - (-192)\/b. Sort o, x, 2 in ascending order.\nAnswer: o, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 48 = 3*d. Let s = -10 + d. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -124, 5, 2, -7.\nAnswer: -124, -7, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*(9 + -9)\/(-5). Find v, given that g*v + 2\/9*v**4 + 2\/9*v**2 - 4\/9*v**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:50 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 212 and 794887064.1.\nAnswer: 794887276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001579 rounded to five decimal places?\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 5, i: 1, g: 3}. What is prob of picking 1 s and 2 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.42 (b) -2 (c) -1 (d) 2\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -10. Let w = -6 - p. Let q = w + 1.6. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 43, 49?\n\"Answer: 6*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggcggggcggggg. What is prob of picking 2 g and 1 c?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1*u*u*u**(2\/9)*u*u)**1*(u**1)**(-1\/10)*u\/(u**(-2\/15)\/u)*u*(u**(-2)*u)\/u assuming u is positive.\nAnswer: u**(653\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 6. Let z be h(-5). Let r be 5\/(-10)*(0 + 2). Let j be 30\/(-9) - r\/3. What is the second smallest value in z, j, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y**3\/5 + 157498*y**2\/5 - 102358*y + 118104\/5 = 0 for y.\nAnswer: 1\/4, 3, 19684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 58845.94 weeks?\nAnswer: 35590024512000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 618 and 11160256.\nAnswer: 33480768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, -17 in descending order.\nAnswer: 30, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-14)\/(-7))\/2*37\/(-2) and -35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7309183 to the power of 1\/2, to the nearest integer?\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -5 - -20)\/(-3 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 4*t. Let y = 4 + -7. Let a be o(y). Let w(u) = -2*u**2 - 4 + 5 + 4*u**2 + 2*u - u**2. What is w(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**3 - 23*b**2 - 21*b - 12. Let c(g) = 4*g**3 + 8*g**2 + 7*g + 4. Let s = -12 - -15. Let l(p) = s*x(p) + 8*c(p). Is l(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1\/4, 2, 3, 2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from rrrdddrrrcrrrrrrrcc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.1281 - -0.0801. Let z = h - -6. Round z to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264873004.\nAnswer: 2, 11, 577, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 - -145. Solve 5*t - 2*t = 3*r + 18, c = 4*r - 2*t + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 39 - 14. Let x = 11 + l. Is (7\/3)\/(2\/x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 16974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r**2 + 0*r**2 - 7*r**2 + 21*r**2 to the form k*r**2 + c + q*r and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o + 3. Let m be a(-1). Let q be (-62 + -4)\/((-3)\/m). Let b = 126 + q. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-7)\/78) - 1. Let h be 179*(1 + (-10)\/7). Let b = h + t. Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140873 and 5907.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - a**4)*(14 - 15 - 26) to s*a**2 + g + j*a + l*a**3 + v*a**4 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sttsggtsssgtgssssgg. What is prob of picking 1 t and 2 g?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 17 + 10 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 5. Let c(s) = s**3 + 11*s**2 - 3*s + 1. Let l be c(-8). Calculate the highest common factor of l and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (168\/63)\/(2\/6). Suppose o = 4*f - 2*f. Suppose 2*i - f*x + 14 = 4*i, -3*x = i - 8. Solve i*p + 3 = -7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5805.158mg in micrograms?\nAnswer: 5805158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139634237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 15*v = 13*v - 21, -4*z - 4*v + 8 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3384.392 to the nearest integer.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129\/(-28)*182\/(-21). Let c = v - 81\/2. What is the fourth smallest value in c, 0.2, -0.5, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.5016329 rounded to the nearest integer?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 451424 + 5?\nAnswer: 451431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22041042 (base 5) to base 3\nAnswer: 100122211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 + 272*u**2 - 7*u - 372. Determine g(-68).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(5))**2 + -4 + 2 + (1 + (sqrt(5) - sqrt(80)))**2 + sqrt(5) + 4 + (sqrt(5)*2 - sqrt(5)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y - 4. Let u be (y\/2)\/((-3)\/6). Which is the second biggest value? (a) u (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 n when three letters picked without replacement from {x: 3, a: 1, g: 4, k: 2, f: 2, n: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3401668900 + 3401668900 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.14 + 4.2596. What is c rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800182 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 10*r**2 + 16*r - 4. Suppose 214 = -93*g - 530. What is w(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 2*b - 4. Let x(g) = -3*g**2 - 2*g + 3. Determine -4*o(z) - 6*x(z).\nAnswer: 2*z**2 + 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**2\/2 - 715. Let c(g) = -687*g. What is c(b(m))?\nAnswer: 687*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -5*q**8\/336 + q**7\/21 + q**6\/8 - 2*q**2. Let l(p) = 0. What is p?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t - 125 = -9*t - 137. Let r(q) = -39*q + 12. Determine r(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 9044819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 10*f**2 + 6*f - 1. Let q be r(-12). Suppose 0 = 5*l + 40 + q. Does 4 divide (1 - (-110)\/6)\/((-34)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111887*m**2*p + 6*m*p - 2*m - 3*p + 141 wrt m?\nAnswer: -223774*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1179, 1183, 1187, 1191, 1195?\n\"Answer: 4*l + 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -345468*f - 163. Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 224, 979, 2310, 4217, 6700, 9759, 13394?\n\"Answer: 288*a**2 - 109*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n + 3*n)*(8 + 1 - 3)*(n + n - 3*n).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5648 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3*u**2 - 19 - 74*u + 74*u).\nAnswer: -3*u**2 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1197.026 and -6.\nAnswer: 7182.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) + sqrt(2299) + sqrt(2299)*-1)**2 + sqrt(19) + 1.\nAnswer: sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 100371 = 99975 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 46*t - 4*t + 19*t + 17 - 47. Let r be c(6). Suppose 0 = -34*v + 36*v - r. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 621*y + 85704. Determine w(-207).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*5\/(-180)*8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*9\/270 + (219\/18 - -12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 10944*h**2 + 13307904*h + 5394137088.\nAnswer: 3*(h + 1216)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:47 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -0.51. Let q = -1 - -4. Let n = 0.1 - 0.1. Put q, n, x in descending order.\nAnswer: q, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8727 = 7*x + 8559. Solve x = -3*d + 3*t, -2*t = 4*d + 10 - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a gram in milligrams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019158470966 rounded to five dps?\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1020220021011?\nAnswer: 1020220021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 360 - 0?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*u - 29, 5*u + 53 + 18 = 3*k. Let r = 31 + u. What is the highest common factor of r and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -0.2, 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2*z**3\/3 + 59. Let l(j) = -j + 2*j**2 + j. Calculate l(c(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, s: 3}. What is prob of sequence yyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11512 + 71816 = 12*f. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 22*l + 27. Let h be m(-10). Let z(n) = 3*n - 22. Determine z(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-2)*(-10)\/(-15). Solve 0 = -j*u + 4*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**8\/3360 - s**6\/720 + s**5\/60 - s**2. Let v(r) be the third derivative of w(r). Let t be 33\/11 - (1 - -1). Calculate v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u**3 + 3*u**2 - 6*u**3 + 3*u**2 - 5*u**2 + 736 - 26*u**3 as v*u**3 + h + i*u**2 + t*u and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -744 - -1299. Let w = -549 + o. Calculate the remainder when 48 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (6 - 10) - -6) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(1\/2)\/h)))\/h)\/h*h**(-19)*(h**(-10))**17 assuming h is positive.\nAnswer: h**(-383\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i + 2*i. Suppose i*c = -3*t + 54, 5*t - 4*c - 22 - 36 = 0. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-40 + 39) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172356113 - 122228113. What is v rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5\/6 (b) 0 (c) 3 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*(-27)\/6. Let d = 163 + -158. Suppose -40 = -4*n + d*l, -2*n - 5*l = -0*l + 10. Put f, n, -0.4 in decreasing order.\nAnswer: n, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4732 and 61\/104.\nAnswer: 9464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4112083?\nAnswer: -3\/4112083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 10*z + 104 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(405) + 0) + 4 - (-3 + sqrt(5)*3 + sqrt(5) - 3*sqrt(45)))**2.\nAnswer: 448*sqrt(5) + 5169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -279\/208 + 19\/16. Sort 1\/5, -0.3, v in ascending order.\nAnswer: -0.3, v, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -2\/17, -4, 0.1, 0, 7.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -34, -37, -32?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 949 + -527. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)\/m*m*m*m)**(-27))**(-6\/7) assuming m is positive.\nAnswer: m**(432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -817295021652\nAnswer: -817295021665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 4 - ((-2 + 9 - -12 - 19) + -71)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 94. Let a be (-3*1)\/((-21)\/k). Let p(j) = 3 + 0 - j - j. Determine p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 1113, 1653, 2191?\nAnswer: 2727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -4 - ((1 + -33 - 0) + -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/363812 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*i + 5*j - 70 = -115*i, 2*i - j - 28 = 0. Solve 0 = -i*l + 27*l + 36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5245, -7645, -10285, -13285, -16765, -20845, -25645?\n\"Answer: -20*x**3 - 2260*x - 2965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007753 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 5, a: 1, o: 1, u: 3}. What is prob of picking 2 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/2 - 5*v + 8 = 0 for v.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12546 and 37638?\nAnswer: 37638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**3 - 5*i**2 - 14*i + 20. Let f be d(5). Suppose 1010 = 5*z - f. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3207, -6280, -9353, -12426?\n\"Answer: -3073*b - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1787.\nAnswer: 3\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c = 65 + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134682*z**5 + 135*z**4 + 327*z**2 + 24390*z.\nAnswer: 8080920*z**2 + 3240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -136\/3743 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -777168 less than 1.3?\nAnswer: 777169.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 13. Suppose -d*f = f - 9. Let x(a) = a**3 - 5*a**2 + 3*a - 6. Let y be x(5). Calculate the greatest common divisor of f and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44248 times -349?\nAnswer: 15442552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahhh. What is prob of picking 2 h and 1 a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 + 4)*(0 + x + 0) + 49*x - 73*x + 176*x + x - x - 3*x)*(3 - 2 + 0) - 3*x - 4*x + 3*x.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11050, 11010, 10944, 10852, 10734?\nAnswer: 10590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -633 - -637. Factor -65*k**3 + 15*k**4 - 5*k**4 + 150*k**2 + 2*k**4 - 2*k**4 - 5*k**c.\nAnswer: 5*k**2*(k - 10)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (63\/(-12))\/7 + 0. Let s be (-2)\/((-10)\/13) + -3. What is the nearest to s in 0, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11300112310 + 21?\nAnswer: 11300112331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (199*d + 1 - d**2 + 0 - 194*d)*(5 - 2 - 2)*(-d + 8*d - 3*d) as t*d + b + k*d**3 + g*d**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679.2463kg to micrograms.\nAnswer: 679246300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51483.20024 plus -19?\nAnswer: 51464.20024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -6554\nAnswer: -2\/3277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 2*b**2 - 4*b - 28. Give g(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28291446487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*t**3 + 162*t + 83409?\nAnswer: 177*t**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 3. Let p(k) = -3*k - 5. Let v(x) = x**3 - 4*x**2 - 5. Let b be v(4). Let n(y) = b*j(y) + 3*p(y). Let w(q) = 0*q - 2*q + 4*q + 0*q. Give n(w(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let n(a) = -2*a**2 + 4*a - 93. Let g(l) = -4*l**2 + 9*l - 185. Let x(d) = 4*g(d) - 9*n(d). Give x(t(c)).\nAnswer: 8*c**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-820)\/175 + 4 + 2\/7. Let s = 11\/15 + p. Let v = -12\/25 - -2\/25. Which is the fourth biggest value? (a) v (b) 4\/5 (c) s (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 139.608 and 978 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 32*i. Let u(o) = o + 2. Determine u(g(f)).\nAnswer: 32*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, c: 1, p: 1, d: 1, n: 2}. What is prob of picking 1 y and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22799756 - 1.\nAnswer: -22799757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1209082 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69317010?\nAnswer: 2, 3, 5, 7, 47, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 602405 (base 7) to base 15\nAnswer: 2021e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -19 - (0 - 8 - (-338 + 344)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1865 = 23*l - 3887 - 15040. List the prime factors of l.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by -116.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 0*c = -171. Suppose -21 = -o - c. What is the derivative of 17 - 22*k**2 + 2 + 4*k**o - 18*k**2 wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(637) + sqrt(1053) + 1)**2 + (sqrt(52)\/(sqrt(4) + sqrt(256))*-6)**2.\nAnswer: -32*sqrt(13) + 30013\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = -2*r, -2*r - 7*x + 4*x = -1. Which is the nearest to -28? (a) -4 (b) r (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002566138616 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4637 = 34*l + 205*l - 3250 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1616379147 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152481?\nAnswer: 3, 7, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119944 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 0?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18 + 11 - -6)*(-41 + -1))\/(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(((-15)\/(-12))\/(-5)). Suppose -5*g = -b + 1, 5*g - 11 = -b - 0*g. Find the third derivative of -92*u**3 + l*u**3 + b*u**4 - 4*u**2 wrt u.\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 1402269780*w + 163863377991770700.\nAnswer: 3*(w - 233711630)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 376489792 divided by -23530612\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(-5 + 1 + 0)*(-5*h + 3*h + 4*h) + (-22 + 122 - 40)*(8*h - 7*h + 8*h) to the form v + z*h and give z.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((28 - 32) + 2*5)*6. Let a be 10 - (-6)\/(f\/(-30)). Solve -a*x + 15 = -8*l + 3*l, -4*x - l + 7 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n - 25 = 0. Suppose 4*w - 13 = 5*x, -7*x + 6*x - n = -2*w. Put x, 15, 3, 1 in descending order.\nAnswer: 15, 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.2 + -70. Let m = l + -13.200825. Round m to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107464 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**3 - 12*l**2 - 4*l + 8. Let j(p) = -2*p**3 + 11*p**2 + 3*p - 8. Let o(q) = 4*j(q) + 3*w(q). Let m be o(-8). Do m and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11682158 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -39*u**3\/7 - 13297*u**2\/7 + 27436*u\/7 - 196 = 0.\nAnswer: -343, 2\/39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/30 - -71\/330. Let t = 5.1 + -5.06. Let s = t - -0.46. Sort 1\/8, r, s in descending order.\nAnswer: s, r, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s + 5*c, -s + 4*c = 0. Let g = 5 + s. Sort g, -0.1, 3 in descending order.\nAnswer: g, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + sqrt(66) + sqrt(66)*3*5 - sqrt(66)) + sqrt(66))\/sqrt(6))**2 + sqrt(275) + (-1 + sqrt(275) - sqrt(275)) + -3.\nAnswer: 5*sqrt(11) + 3175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2. Let p(z) be the third derivative of 0 + 0*z - 3*z**2 + 0*z**4 - 1\/60*z**5 + 0*z**3. What is p(q(b))?\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7709*0.32.\nAnswer: 2466.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*v - 20, 4*b - 2*b = -v + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 810.89473 + -0.43473. Round u to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9501 - -10.7.\nAnswer: 6.7499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1567, 3291, 5083, 6949, 8895, 10927?\n\"Answer: k**3 + 28*k**2 + 1633*k - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 810649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6654)\/1109)\/((4\/34)\/1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*b - 7*b - 33*b - 5*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2344*f + 447 = -34713 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1047026051528*t**2\/11 + 494902728*t\/11 + 58482\/11 = 0. What is t?\nAnswer: -171\/723542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82570722*o**4 - 3616*o - 3394 wrt o?\nAnswer: -990848664*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52246 (base 11) to base 15.\nAnswer: 17874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6611000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 1, v: 5, b: 5, e: 3, j: 4}. What is prob of picking 1 b and 1 f?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/(((-112)\/420)\/(-1))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4437 (base 9) to base 10\nAnswer: -3274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1143 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 - 110 + 242)*(3 - 1 - 4)*(4 - 1 + 0)*(o**2 - o**2 - 2*o**5).\nAnswer: 324*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/855672 and -31\/707?\nAnswer: 5989704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 12 = 0, 15*p - 13*p + 6 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19711 + -19716. Put 2, -3, -1, -4, v in ascending order.\nAnswer: v, -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -129?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)\/((-6)\/(-12)). Let o(l) = -2*l**3 + 56*l**2 + 2*l - 31. What is the remainder when u\/5 + 1428\/30 is divided by o(28)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32045*i**2 - 30989*i**2 + 61759*i**2.\nAnswer: -1275*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(117) + sqrt(117) - sqrt(117)))\/(sqrt(36) + (sqrt(36) - sqrt(324))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378 - -253. Let p = r + 129. Solve -p*q + 3*q = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -s, -2*s + s - 1 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20203 (base 4) to base 14\nAnswer: 2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*p - 1)*(3 + 3 - 7) + (5 - 3 + 0)*(-21916 - 335*p + 21916).\nAnswer: -672*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from ffjfdjjdvj?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111876 + 10707.20251.\nAnswer: -101168.79749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49\/95 - -6\/19. Suppose -15*j + 10*j = 0. Suppose 0 = 316*t + 297*t + 2452. What is the nearest to j in u, -5, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.4, 10, -1040?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 25 - 85. What is the greatest common divisor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346956605.\nAnswer: 5, 349, 198829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/159937370 and -127\/2480.\nAnswer: 1279498960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3331224 - 0?\nAnswer: 3331224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 17, 1\/9, 4, 2, -25, -0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1\/10, 0.9, 2\/3 in ascending order.\nAnswer: -3\/5, 1\/10, 2\/3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4819 or -30449?\nAnswer: -30449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1910827 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:25 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831611947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 5 + 5. Suppose -3*o = 3*h + 2*o - 45, -2*h - o + 37 = f. What is the least common multiple of 12 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41739 is divided by 623?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q = -69*q + 39. Let i = -156 - -175. Which is smaller: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20942, 83868, 188754, 335600?\nAnswer: 524406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {n: 3, p: 2, a: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 10*v - 26. Calculate c(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 - 1 = 0. Let f(p) = p**3 - 1. Let t(j) = 2*j**2 + 2*j**3 + 2*j**3 - 9 + 7. Let q be ((-1 - 2) + 2)*(-19)\/19. What is k*f(r) + q*t(r)?\nAnswer: r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 5*d**2 + 4*d - 3. Let t be u(-6). Let p be 13\/3 - (-6)\/t. Let h(l) = l + 5. Is h(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100052*-1\nAnswer: -100052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -0.4. Let h = -2 + 5. Let i(m) = -m**2 + 3*m. Let d be i(h). Which is the biggest value? (a) d (b) 1\/10 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*z - 3884, 3*z - 1936 = -2*u - z. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -308 + 79.6. Let o = -228 - t. Which is the biggest value? (a) 63 (b) 1\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.09 (b) -80 (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-5)\/2)*(-5)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1065285 divided by 16389.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10194053 is divided by 1172?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 24 - 8. Let v be (w - -1)\/((-5)\/(-15)*9). Which is the closest to 0? (a) v (b) -0.03 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 0 - 1 + 6 - 5*o - 4. Let m(s) = s**3 - 4*s**2 - 4*s - 10. Let l be m(5). What is the tens digit of y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-729\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126816.2560431776509 - -0.1269567583491. Let p = 126816.3 - t. Let n = p - -0.083. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 16*t**2 + 16. Let q(i) = i - 29. Let n be q(13). Let l be x(n). Suppose 0 = -3*m - m - l, -3*m - 34 = -2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 47.2619 decades?\nAnswer: 4.72619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, 1, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -63*o + 278. Calculate v(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d**2. Let t(b) = 50 + 45 + 15*b - 118 + 23. Calculate x(t(v)).\nAnswer: -2700*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5 - 33*y**4 - 335*y**3 - 1091*y**2 - 240*y + 1700 = 0. Calculate y.\nAnswer: -17, -10, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128721.\nAnswer: 3, 107, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -16. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3862380922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/160 - -53\/480. Solve 0*c - g*c**4 + 0*c**2 + 0 + 1\/3*c**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0779 and 36506.\nAnswer: -2843.8174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 130155360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14290 rounded to the nearest one hundred?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1297146 and -103\/116860.\nAnswer: 12971460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 179*b**3 - 75 - 37*b**2 + 72 - 2*b + 34*b**2 as l*b + y + i*b**2 + d*b**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1 + 4*p - 1 - 5 - 3*p. Let b be n(9). What is the second derivative of 2*j + 3*j - j + b*j**2 - 3*j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -72. Let x = -76.00086 + s. What is x rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 19*f**2 + 57*f - 266. What is the units digit of m(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1354*l - 10822. Calculate a(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 5}. What is prob of picking 3 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -15. Suppose 8*b - 3*b + 46 = 2*m, 0 = h*m - 4*b - 83. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 19 + 27. Let a = 126647\/10 - 12676. Calculate the common denominator of j and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-2))\/(6 - 7). Let u = q - 8. Calculate the smallest common multiple of 1 and u\/(-2)*24\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 1:10 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224384 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 7*q**2 + q - 6. Let m be s(7). Let j be 1 - m - (0 + -3). Suppose 4*w - 2*o - 46 = -j*o, 5*w = 2*o + 64. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 153087, 153086, 153085, 153084, 153083, 153082?\n\"Answer: -j + 153088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 - 388. Which is the closest to 0.02? (a) 2 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300022133220 (base 4) to base 3\nAnswer: -212202110110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766*k + 21 = 773*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 33. Let d(t) = t. Let o(g) = -6*d(g) - p(g). What is the smallest common multiple of 24 and o(3)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:15 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 6*b**2\/5 + 72*b\/5 - 64\/5.\nAnswer: -2*(b - 4)*(b - 1)*(b + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0*q**3 - 4*q**3 + 2*q**3 + 8*q**3 + 5. Suppose -3*v - 210 = -10*v. Let t(o) = o**3 + 1. Determine v*t(y) - 6*n(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-10) - 6\/30. Differentiate s - w + 12*w - 9*w with respect to w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990162183 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2 (b) -3.807 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (38\/((-49020)\/12298))\/(99\/(-30))\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 16. Suppose -j = -5*u + 18. Let y(g) = 2*g**2 - 12*g + 1. Let b be y(9). Calculate the greatest common factor of u and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-14))\/((-14)\/1092) - 12\/(-42). Put -2, -3, 5, j in increasing order.\nAnswer: j, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -59.\nAnswer: -59, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5, 0 = -6*g + g + 5*p + 23110. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.31936 to two dps.\nAnswer: -6.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -89.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**3 + 256*o**2 - 256*o**2.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 3*g**4\/4 - 7*g**3 + 21*g**2 - 24*g - 107. Suppose p(z) = 0. Calculate z.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsaaqdkf. Give prob of sequence qaka.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - r**2 - r**2 + (1 - 3 + 0)*(r**2 + 0*r**2 + 0*r**2) + 2 - 2 - 2*r**2 - 2*r**2 - r + r + 5 + 5*r**2 - 5.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/90405 - -2812598\/90405. Let l = 83\/3 - r. What is the common denominator of -41\/21 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 262*s**3 + 2 + 73*s**3.\nAnswer: -189*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70897 at least as big as 7519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -17*t**2 + 9. Suppose 9*r - 4*r - 3*a = 36, 4*a - 30 = -2*r. Let p be (47\/7 + 2\/7)*270\/945. Let u(q) = 4*q**2 - 2. Give p*j(i) + r*u(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((54\/(-9))\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 74*h**2 - 3*h - 1. Let j be s(-1). Suppose -2 = -6*k + j. What is the remainder when 37 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/29674020 and 35\/21760948.\nAnswer: 326414220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.02786419 to two dps.\nAnswer: -3.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.69 - -0.19. Let o = -0.50000113 - z. What is o rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 58, -4, 65, -17 in ascending order.\nAnswer: -17, -4, 5, 58, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4720310 and 6470?\nAnswer: 3054040570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7039*k - 3*g - 18 = 7042*k, -3*g + 3 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*2.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2804, -2876, -2952, -3032?\n\"Answer: -2*h**2 - 66*h - 2736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92.93 - -94. Let q = -1.17 + l. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3001430766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 52. Let q be (5 + 0\/o)*1. Find g such that -1\/2*g**3 + 0*g**2 - 1\/2*g**q + 0*g + 0 + g**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 = -2*f, -6 = 7*f - 5*f + 3*s. Solve 5*c + f = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36941277 by 4.\nAnswer: -36941277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5*(1 - (-2)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((4\/2)\/2). Let g be (-1 + z\/1)\/(-1). What are the prime factors of 23*((2 - g) + 1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*g - 39, -9*h - 5*g = -4*h + 115. Suppose -89*s - 89*s = -215*s - 1036. What is the remainder when -1 + h\/(-14) + (-412)\/s is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*x + 1 = 0, 0 = -4*s + 2*s + 2*x - 2. Let h be 1\/(5*s\/45). Solve 4*q = -h*n - 9, -5*n - 3 = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-25 + -24 - -25) + -12 + -1 + -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.28 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - 0 - 1) + (7 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + m - 1. Let a(c) = -4*c**3 - 38*c**2 - c**3 + 5*c + 42*c**2 - 19. Let l(w) = -a(w) + 4*q(w). Find the second derivative of l(v) wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-12))\/(1\/33). Suppose 0 = t*a - 67*a + 47. Let z = -34 + a. Solve -w - z = -5*i, -2*i + 15 = -5*w - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 16. Let l(p) = -11*p - 48. Calculate 17*f(d) - 6*l(d).\nAnswer: -2*d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 + 28*x**2 + 79*x + 247. Let i be u(-11). Calculate the highest common factor of i and 2002.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 50737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**4*q)**(-3\/14)\/(q*q**1*q*q**(-2\/13)) assuming q is positive.\nAnswer: q**(-220\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a decade?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 171?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19444 - 19403. Solve -4*v + 28 = -2*g, -4*g - 7*v + 12*v - j = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 13. Let w = 39 - 31. What is the remainder when (4 + 205\/20)*(1 - -3) is divided by m(w)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1634?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18625 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264117.2 + -4.5.\nAnswer: -264121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5 + 0 - 10) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12\/13)\/w)\/((w**(-3)*w*w)\/w))**(3\/4) assuming w is positive.\nAnswer: w**(3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011100010100011000 (base 2) in base 12?\nAnswer: 589788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253\/3 - 84. What is the nearest to 0.23 in 4, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -15. What is the second smallest value in -1\/4, 33, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 4 + 3*p**4 + 51 - 25 wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-32)*x*x\/(x**(15\/2)*x*x)*x**3\/x**(-19\/5) assuming x is positive.\nAnswer: x**(-317\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q + 110. Let n = -21 - -32. Let z be b(n). Calculate the greatest common divisor of z and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let u be b(-1). Let x(t) be the first derivative of t**4\/4 - t**3\/3 - 2*t**2 + t + 4. What is x(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + j**4 - 13*j**3 - 25*j**2 - 12*j.\nAnswer: j*(j - 4)*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) - 221\/12. Let c = 18195239\/1063020 - -2\/17717. Let j = p + c. Find the common denominator of j and 23\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/66117? (a) 1\/7 (b) 16\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.7 - -2.7. What is the smallest value in -1\/2, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5. Let t(p) = -p - 5. Determine -2*o(l) + 3*t(l).\nAnswer: -3*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/12))**(-3\/13)*((s*s*s**(-15)*s)\/s)\/(((s*s*s*((s*s**(-5)*s)\/s)\/s*s*s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-625\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4489096 to three dps.\nAnswer: -0.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4332.19l?\nAnswer: 4332190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqtttezbtjjj. Give prob of sequence bjze.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -492 - -497.98. Let y = i - 5.98. Which is smaller: y or 2.64?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -68.7. Let i = 9.4 - f. What is the second biggest value in -21, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 1 = -d. Let b be 310*((-162)\/30)\/(-9). Suppose 12*j - 43*j = -b. Solve -h + 4*l + j = -8, 0 = h + 3*l + d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.251 + 2.251. Which is the nearest to -1\/3? (a) -3 (b) 3 (c) r (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 66, 174, 378, 708?\n\"Answer: 5*q**3 + 3*q**2 - 2*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y = -78*y - 180. Let i = -14 - y. What is a in a**2 + a**3 + i*a - a**2 - 2 - 25*a = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(242) - (4 + 2*sqrt(242)) - sqrt(242)).\nAnswer: -132*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmv when three letters picked without replacement from vmiaammimiaviaa?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146393.\nAnswer: 3, 859, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + 281. What is the common denominator of 598\/60 - 2\/(-6) and (-10)\/25 + (-123)\/j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 4:33 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10703939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1823, -12, -1, -16 in increasing order.\nAnswer: -16, -12, -1, 16, 1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 3 - -14) + (1 - 5) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1162093959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.6. Let i = 7\/3 - 19\/9. Which is the closest to -2\/3? (a) 3 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2 + 1)*-2. Let p(r) = -7*r + 3. Let x be p(-1). Let l = -95 - -94. Which is the nearest to l? (a) 4\/3 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/7)\/((-8)\/24). What is the second smallest value in l, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Suppose 5*m - 4*u - 5 = 0, 11*u = 14*u. Let f(n) be the second derivative of 2*n**3\/3 - 4*n**2 - n. Determine m*f(o) - 8*l(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*w + 6*w - 6*w)*(-5 + 1 + 0 + 1) to the form o*w + g and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203325 to the power of 1\/5, 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 -19\/6 and -47\/4894.\nAnswer: 14682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfr when three letters picked without replacement from {f: 5, n: 3, r: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-6 - -3)\/3. What is the units digit of (l - (-1 + -1)) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483 and 189841540?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.61301ug to tonnes.\nAnswer: 0.00000000002661301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 172 = -4*m, 4*a - 5*m = 3*a + 55. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -437.6 - -438. What is the biggest value in -0.14, -0.1, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-195)\/180)\/(-13))\/(-2).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -13667?\nAnswer: 4\/13667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5606400 to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -723984 (base 13) to base 5.\nAnswer: -1140230033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o + 1 - 4*o + o**2 - o**2 - o**2 + 3*o**2 + (-3*o + 2*o + 2*o)*(-2*o + 1 - 1) - 5*o**2 + 0*o**2 - 56*o**2 to the form m*o**2 + k + d*o and give m.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.0359041.\nAnswer: -0.1795205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148018 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/63 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -72, 135, 380, 675?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105501 to the power of 1\/2, to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.61113 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 - 5 = 0. Suppose -w - 23 = -l*n, -3*n + 6 = 3*w - 0*w. Suppose -3*f - x + 148 = 0, 2*f + 54 = n*x + 164. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6065.9998 and -4.\nAnswer: 6061.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -16. Let j(t) = t**3 - 10*t**2 - t - 10. Let o be j(n). Find the common denominator of (-4)\/88*o - 3 and -25\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 631367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 - 199. Put u, 1\/5, 4 in increasing order.\nAnswer: u, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) -4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 + 183. Suppose a*u - 103 = -2*p, u - 5*u - 5*p = -142. What is the remainder when 126 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -14, 0.5, 2\/9 in decreasing order.\nAnswer: 0.5, 2\/9, -2\/9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 176 + 26 = 350 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = 3*r, 0 = -3*d + 2*r + 3 + 17. Let c = 3 - 1. Calculate the smallest common multiple of d and -1 + 2 + (5 - c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297139 and 725353.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(30)\/(sqrt(6)*2) + sqrt(5)) + 3.\nAnswer: 2*sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/140 and (164\/430)\/(178\/10 - 29).\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4.8, 0.4, 97.4, 303, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 14*w**3 + 74290998*w**2 + 98556287262000*w - 14079471125000 = 0.\nAnswer: -2653250, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((1\/2)\/(63\/1302))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/61113 and 81\/12536?\nAnswer: 488904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.1 + -4.9. What is the second smallest value in -2, b, -0.2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 34, 0, 0.01 in increasing order.\nAnswer: 0, 0.01, 2\/15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**2 + 2*l + 3. Let c(m) = 11*m**2 - 3*m - 4. Let b(y) = 2*c(y) + 3*o(y). Differentiate b(v) with respect to v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 150. Suppose 0 = 5*n - k - 20. Let i be 5\/(-25) - 38\/n. Is -1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1612?\nAnswer: 160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6.63943 * 0.0277\nAnswer: 0.183912211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4050847.06 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -607, -887, -1155, -1411?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:41 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -652 + 1085. Suppose w - 69 = -4*f, -2*f - o = -5*w - 22. Suppose w = 3*u - 36. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4315269 and -4315266 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 65*u + 894. Determine s(-79).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*m = -m + 20, 4*q - 6 = 4*m + 30 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2294 + -2292. Put -5, c, -3, -7 in descending order.\nAnswer: c, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 27833*v**3 - 3 - 3*v - 27836*v**3.\nAnswer: -3*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217362231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.26, 4\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 + w**2 + w + 2. Let s be z(4). Let m be ((-82)\/5)\/(4\/20). Let v = s + m. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36*4*5\/40. Suppose 4*i - 7*i = x. Is i\/8 - 3310\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 3, -3 in descending order.\nAnswer: 113, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5\/54, -3, 1555?\nAnswer: 1555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {g: 3, u: 5, n: 3, k: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/10 + (-16)\/(-40) - -2. Suppose -3*c = -f - g, 0 = -f - 2*c + 1 + 7. Solve k + 2*k = 4*w - f, 0 = -2*w + 5*k + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + -2 + -1 + -1. Suppose -i = r*a - 261, -3*i + 421 = 5*a - 6*i. What is the third derivative of -9*x**2 - 86 + a - 37*x**3 wrt x?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**2*v*y + 14*q**2*v + 11*q*v**2*y + 28*v**2 - 2*v*y + 59*y wrt q?\nAnswer: -4*q*v*y + 28*q*v + 11*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15.81 (b) -19 (c) -5 (d) -0.1 (e) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10839 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -127. Let l = 80 - v. Suppose -4*a + l = -22. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204*70\/(-5040))\/((-10)\/12).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.35 in 0, 3\/4, 3105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4 - 30*y**3 - 15*y**2 + 100*y - 60 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -9 - 15. Suppose 2*h + 9971 = i, 5*i + 5*h = s*i - 29909. Let w = i + -3160. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8b3a (base 12) to base 8\nAnswer: 36136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + p - 22 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27837015?\nAnswer: 3, 5, 23, 80687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*v - 10. Solve i = -3*n - 2, 8 = -2*i + v*n - 4*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5176 - 1201 + 253*p - 10*p with respect to p.\nAnswer: 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 24. What is the remainder when 66 is divided by s(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8*44\/(-99). Which is the smallest value? (a) 2\/7 (b) g (c) -3 (d) 2 (e) -0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 * -3.8\nAnswer: -273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + (-32)\/(-18). Solve -4*d + 5*y - g = 0, -2*d + 4 = 2*d - 2*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/11*42\/(-63).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -4*x, 3*m + 31 = -0*m + x. Suppose 2*z + 5*u - 39 = 0, -3*u + 9 = 2*z - 24. What is the remainder when 1*-1*451\/m is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8446\/3 + -2813. Let h(n) be the second derivative of 4\/3*n**3 + 9\/5*n**5 + u*n**4 + 2\/3*n**6 + 0*n**2 + 0 + 2\/21*n**7 + 8*n. Factor h(v).\nAnswer: 4*v*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/159 (c) 114269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 252.3. Let y = w - -8.3. What is the closest to -0.1 in -1\/9, y, 1.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 5025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 2. Let a(l) = -l + 4. Let p be a(3). Let u(o) = o + 1. Let s(g) = p*t(g) - 3*u(g). Let k be (-2 - 27\/(-6))\/((-9)\/18). What is s(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -562, -3383, -6204?\nAnswer: -9025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 58 (b) -0.4 (c) -1 (d) 2 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*o + 22*o + 45*o)*((6 - 6 + o)*(-55*o + 37*o - 48*o) + 0*o + 2*o**2 + 0*o) to the form k*o**3 + j*o + h*o**2 + q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1690 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19579926 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/12 + 101*d**4\/12 - 1651*d**3\/12 - 47341*d**2\/12 - 22330*d\/3 - 10933\/3 = 0.\nAnswer: -13, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*p = 0, -w + 3*p = 2*w. Solve w = 3*n - 7 + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18549215 - 0.1496.\nAnswer: -18549215.1496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1533*f**2 - 30*f + 45. Is q(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7315 and -16\/33915.\nAnswer: 373065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 216*d**2. Let x(a) = -23849*a**2. Determine i(x(t)).\nAnswer: 122855357016*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71.1 - 71. Which is the second biggest value? (a) w (b) -3\/2 (c) 2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9))**(4\/9)*h**(5\/4)\/(h*h\/(h*h**5)))**1 assuming h is positive.\nAnswer: h**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30590 and 447165.\nAnswer: 143987130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3035 - -5940. What is the greatest common factor of 35 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 936*a**3 - 6*a**2 + 6. Calculate the lowest common multiple of 54 and p(1).\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011111010101111111111 - 10111?\nAnswer: -11011111010110000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 5\/907749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1875465499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2998.9999999073 + 2999. Round w to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6558 (base 9) to base 7\nAnswer: -20042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/50*4)\/((-7)\/(-10)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 231, 745, 1747, 3399?\nAnswer: 5863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25122*s - 4 - 25124*s - 11)*((1 + 0 - 2)*(-4*s + s + 0*s) - 3*s + s + s).\nAnswer: -4*s**2 - 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159036104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 87 - 395 = -5*y, 0 = -y + 3*b + 104. Suppose 5*x + 4*c - y = 5*c, x - 4*c = 12. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 404 - 926. Let i = 578 + y. What is the greatest common factor of 364 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8) - 26\/(-8). Let h be n\/(-10) + (-68)\/(-20). Suppose u - j = 6*u - 655, 0 = h*u - 3*j - 393. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 4*v + 18, 0 = -5*p + v - 9. Let d = -7 + 11. Let l be d\/(-6) + (-16)\/(-12). Which is the nearest to l? (a) -1\/2 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z - 5*v - 8, 0 = -4*v - 12. Suppose -z*s + 40 = -2*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 11. Let u be q(-5). Let j(t) = -t**2 - 1. Suppose 0 = -y + 3*x + 9, 3*y + 8*x = 4*x - 12. Let f be j(y). Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 47208\/136 + (-8)\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 4*n - 0*n. Let p = -19 + n. Suppose 36 = -u + 92. Calculate the highest common factor of p and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 - 1251*z**2 + 1304*z + 20950. What is u(-418)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17 and -3878.7545.\nAnswer: -3861.7545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011111 (base 3) to base 5\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-225)\/10)\/((-292)\/219*27\/48).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqriqirirxqlqxrrrrq. Give prob of sequence lrxq.\nAnswer: 49\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*h - 2\/7*h**2.\nAnswer: -2*h**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/138 and (5\/25)\/((-28)\/441)?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*h + 1 + 19, 3*h + 5*u - 4 = 0. Let x be h\/(-42)*4 - 24569998\/7. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 7*m - 2 + 0*m - 3*m + 9*m**2 - m**3. Let w be (-390)\/(-50) - 2\/(-10). Calculate c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 5)*25\/3. Suppose 15*n + s = 20*n. Let r(h) = 2*h**2 - 4*h + 4. What is the units digit of r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*b + 2*f, -3*f + 5 = 5*b - 65. Let c(d) = d**2 - 14*d - 42. Give c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Let g be 1*-2 + (-10)\/(-5). Suppose g = 2*f - 0 - 2. Calculate the smallest common multiple of j and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**9*t)\/t*t**(-7)*t)**(-21) assuming t is positive.\nAnswer: t**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1.0225070020751?\nAnswer: -2.9774929979249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(39)\/sqrt(3))**2 + sqrt(13) + (1 + sqrt(1573))**2 + -5 - ((sqrt(143) - (sqrt(143) - sqrt(143)*-1*-2) - sqrt(143))\/sqrt(11) + 1)**2.\nAnswer: 21*sqrt(13) + 1880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 15*o**3 + 2*o - 3*o - 5*o**3 + 20*o**2.\nAnswer: 10*o**3 + 19*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13186866 by 33.\nAnswer: 399602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 29*r**2 + 200*r - 106. Determine v(-5).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.18, 6\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 11. Let m(p) = -9*p**2 + 22*p - 8*p - 14*p - p**2. Determine m(o(c)).\nAnswer: -10*c**2 + 220*c - 1210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - (-19 - -11))\/(-1 - 0). Let b(t) = 7*t**3 - 3*t - 2. Let f(j) = j**3 + 1. Give o*b(k) - 2*f(k).\nAnswer: -9*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.48 + -2.52. What is the closest to 2 in 1, -2, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16079\/21 - 8\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 2 h when four letters picked without replacement from {x: 3, h: 4, q: 9, w: 1, g: 1}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -14 - 3 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1982 - 9*x - 659 - 659 - 664.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1101 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 3*s**4\/28 - s**3\/6 - s**2\/7 - 2*s. Solve a(l) = 0 for l.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/3)\/g*g*g\/(g\/g**(-7)))**(-11\/2))**(2\/45) assuming g is positive.\nAnswer: g**(209\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 15*p**2 - 146*p + 1061. Determine w(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*x + 6, -3*f = -2*x + 4 - 7. Solve 14 = j + 2*j + 5*h, 4*j = f*h - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1206)\/15)\/3*5. Let x = -79 - f. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1149a67 - -66?\nAnswer: 114a022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -553004, -16 in ascending order.\nAnswer: -553004, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*p + 2*x - 9, -2*x = 4*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 883553175 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*z**3 + 3018*z - 100*z**3 - 91*z**3 - 2.\nAnswer: -5*z**3 + 3018*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.714 - 433.286. Let h = j - -434. Which is the third smallest value? (a) h (b) 1 (c) -33 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/(s**(-6\/7)*s))\/(s\/((s*s\/((s\/(s*s**(-2\/5)))\/s))\/s))**(-7)*(s**6\/(s*s**(-10\/9)))**(-7\/5) assuming s is positive.\nAnswer: s**(-3118\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 7*t**2 + 5*t - 1. Let w be a(-5). Suppose 3*y = -2*s - 2*y - w, -4*s + y = 48. List the prime factors of (s - -6)*(-56)\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*8*(-3)\/(-240)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9)*(0 - -15). Suppose 3*y - 8 = a. Is (117\/y - 1)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288261341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100000100011011001 (base 2) to base 5.\nAnswer: -1114231013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3020045, 6040112, 9060179, 12080246?\n\"Answer: 3020067*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 5*m**2 - m. Let h(j) = 4*j**3 - 25*j**2 - 32*j. Calculate 5*c(g) - h(g).\nAnswer: g**3 + 27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68690.21 days to milliseconds.\nAnswer: 5934834144000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 148?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 33. Suppose 0 = -f*k - 2*n + 24, -5*k = -0*k + n - 72. What is the remainder when 19 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 - (-55)\/(-25). Let r be q + (0 - -3 - -1). Suppose -b + r*o - 10 = b, -3*b = o - 5. Solve b = -t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853195193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 59919*i + 479289. What is v(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*(-7 - (-13 - -2)). Let f = -14 - -14.21. Let j = f + 5.79. What is the nearest to 1 in m, -4\/5, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/3))**(-22)*((v**(2\/25)\/v)\/v*v)\/v**(-4\/5) assuming v is positive.\nAnswer: v**(-559\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by -410*-9*18\/405.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 17 = 5*u, -5*u = -10*d + 5*d + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*x - 3*x + n, -2*n - 4 = -2*x. What is the third derivative of 15*s**x - 4*s**3 - 11*s**2 + 3*s**3 wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 3774*t**2 - 12*t + 15096.\nAnswer: 3*(t - 1258)*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88564 in 20, 4, -0.4, 0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 12. Let f(i) = 8*i**2 + 146*i + 45. Let p be f(-18). What is w(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9404158 equal to -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.67? (a) 13 (b) -0.3 (c) -1\/10 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 880, 1220, 1560?\nAnswer: 1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*(6\/504*14)\/(15\/(-6))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68502.14 milligrams in kilograms?\nAnswer: 0.06850214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6247863 to the power of 1\/2, to the nearest integer?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -17040*x**2 + 17047*x**2 - 11 + 3*x**3 + 4 - 12*x**3. Let c(s) = -5*s**3 + 3*s**2 - 3. Give 7*c(l) - 3*z(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 17 + -7 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3) + 3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 + 43036518*a**2 + 18*a + 41371?\nAnswer: -6*a + 86073036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 561757 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2763 divide 12546783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 22 = 2*b, 2*o - 5 = -0*o + 3*b. Suppose 3*i + 38 = o*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - 10 - -78 - 101?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/20 - 57*d**2 + 12. Let v(r) be the first derivative of -6*r**3 + 2. Determine x(v(b)).\nAnswer: -972*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 2*n**2 + 74 - 213*n + 53*n - 20. Calculate the least common multiple of 18 and z(40).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 492 = 16. Sort 23, -5, m.\nAnswer: -5, 23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 359, -1, 1\/2, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**2\/2 + 9*q - 19. What is r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5}. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -23125*p**3 - p**2 + 3*p + 4. Let l be (-2 - (-6)\/9)*-3. Let v be d(l). What is v rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/8*-2*(-195 - -193). Let o(q) = q**3 - 2*q + 2. Let i(w) = -6*w**3 - w**2 + 11*w - 11. Calculate z*o(s) - 2*i(s).\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32689 and 112229.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 7*m + 5. Let o be d(7). Suppose 0 = -o*l - 5*z + 250, 5*l - z - 134 = 2*l. Let b = 3 + l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 94*k - 490. What is the least common multiple of d(10) and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272474895.\nAnswer: 5, 13, 3767, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*(-4 - (2 - 3)). Put j, 2, 22 in decreasing order.\nAnswer: 22, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 31 + 13)*(-1 + 1 - 1)*(3*n + 0*n - n).\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2719 + 0.1819. Which is the second smallest value? (a) -2\/21 (b) -0.2 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5149?\nAnswer: 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 110 = z - 6*z, z = 3*v + 32. Solve x - 2*n + 6 = 0, 4*n = -x - 5 + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95\/78 - -3\/26. Sort -0.2, 0.3, 1\/4, s in ascending order.\nAnswer: -0.2, 1\/4, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 30*b**4 + 225*b**3.\nAnswer: b**3*(b - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005490223 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 + ((-5928)\/(-60))\/13 + -7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16957 is divided by 16951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6234840*c - 1073497 with respect to c.\nAnswer: 6234840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15185293?\nAnswer: 41, 370373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 w, and 1 b when four letters picked without replacement from nnjfiwwibniiwnn?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88033787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/8)*t)\/t**17*t**(-2\/67)*(t**17\/t)\/t assuming t is positive.\nAnswer: t**(-485\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10003*a**3 + 19584*a**2.\nAnswer: -60018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2034 and 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 151.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -243567518?\nAnswer: 243567517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*i - 188*i - 24*i**2 - 3 - 8*i**2.\nAnswer: -32*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153 + -354. Let w = -121 - f. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54419586 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*v - 25570, 6*v - v + 3*d + 25570 = 0. Let x be v\/8 + (-6)\/8. Let f = -419 - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 0)*9\/(-45). What is the closest to -0.1 in d, 4, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, -44, -118, -188, -254, -316, -374?\n\"Answer: 2*x**2 - 84*x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24066 and 26740.\nAnswer: 240660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 4*h + 12 = 0. Suppose -h*y = -5*t + 32, 3*t = 4*y + 3 + 14. Solve 2 = w - 0*w - g, -t = -3*w + 2*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(1400)*6)\/(sqrt(200) + sqrt(200) + 5*(-2*sqrt(200) + sqrt(200))).\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3884673 (base 10) to base 14.\nAnswer: -7319a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115216543 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + 7) - (2 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 - 4*f**2 - 2*f**3 + f**3 - 2*f. Let p be y(-2). What is the greatest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188 + -1. Let k = -123 - h. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus -0.116?\nAnswer: 9.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9873 + -9877. Put -6, 20, 5, i, -2 in descending order.\nAnswer: 20, 5, -2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**4\/24 + 4*s**3\/3 - 26*s**2. Determine r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-4))\/(569\/(-56900))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -134*k - 1847. Calculate c(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -12.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173316651 divided by 387733.\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*c - 18 = 0, 10*t + 4 = 6*t - 4*c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.2. Let r = s + 3. What is the biggest value in -0.1, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2390780 and -155\/15061914.\nAnswer: 150619140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/12)\/(1\/(-20)). Let q = v + 18. Suppose -q*h = 2 - 20. Solve -2*t = 4*d + h, -3*t = -d - 2*d + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(9*w - 5*w + 2*w) + 1304 - 652 - 118*w - 648 to the form v*w + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 3*p - 4. Suppose 12 = -j - 5*u, -4*j + 22 - 7 = -u. What is the remainder when 9 is divided by f(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -2, 2, 4 in decreasing order.\nAnswer: 5, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7919 + 667. Is o a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3734031238?\nAnswer: 2, 7, 266716517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1229*n + 15970. Give r(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + i - 4*i = -12, 3*v - 4*i + 23 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 25 = -r. Find the common denominator of (7 - r)*(-22)\/(-10) and -47\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**2 - 18*l - 26. Let y be i(11). Suppose 5*b - 5*h = 1115 + 925, -822 = -2*b - y*h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7094*a + 3*a**2 + 7166*a + 1.\nAnswer: 3*a**2 + 72*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60020 is divided by 29859?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(8*43 + 3). Let c = j + -1713\/3817. Let h = 67\/99 + c. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvb when three letters picked without replacement from bbvbvvbvbvbbbbbbbb.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 2. Let o(w) = w + 1. Let j(f) = -3*o(f) + 2*r(f). Let m be j(-1). Let l = 27 - 26. What is the greatest common divisor of l and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171510 by -5717.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -j - 2, -16*k + 13*k = -4*j - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5 - b**2 + 0*b - 6*b + 0 + 2. Let l be x(-5). Does 8 divide 17 + (-4)\/8*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/1988 and -7\/1503 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.49? (a) 5\/3 (b) 3 (c) -1 (d) -12 (e) -16 (f) -4\/35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-1232)\/(-16)))\/((-67)\/134)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = 2*j + 16*k + 12, 0 = -3*j - k - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from bzftpbut.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15274691797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-37478)\/(-3)*-3*3\/((-147)\/14)?\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67918 and 676106.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and (-9 + -2)*(8 - 17)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1379 + 1378.9. Is z less than or equal to 141.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19*l + 7. Let d be s(-8). Suppose -4*g + 356 = -2*z, 5*g + 4*z = -67 + 525. Let o = d - g. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11240882 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**6\/120 - 4*d**3\/3 - 3*d**2\/2 + 6. Let m(r) be the second derivative of n(r). Give m(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 302419 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -7*n + 42. Solve -5*b + 3*z + 25 = 0, -2*b + 2*z = -n + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -0.0596.\nAnswer: 0.0404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7*f = -3*f. Suppose f = 3*w - 8*w + 10. What is the third derivative of -12*s**6 - 7*s**w - 13*s**2 + 16*s**6 wrt s?\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4124.00000831 + -4124. Round f to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3298169 is divided by 549690?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 + 7*w + 15. Let h(r) = -10*r**2 - 10*r - 22. Let o(t) = 5*h(t) + 7*m(t). Determine o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -2, -950 in descending order.\nAnswer: 10, -2, -3, -950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3020 and 129\/10570.\nAnswer: 21140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siii when four letters picked without replacement from {s: 2, l: 7, i: 4}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 32659080*u**2 + 53330742663225*u - 106661615962810.\nAnswer: 5*(u - 2)*(u + 3265909)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 127*c**8\/336 - c**5\/60 - 27*c**4\/4 + 4*c**2 + 76. Find the third derivative of y(i) wrt i.\nAnswer: 7620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1442125\/98 less than or equal to -14715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = -24*a - 102 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362523509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -6?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 710 (b) -0.2 (c) -7\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 13. Let u be h(13). Which is smaller: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 3*x**5\/5 + 23*x**4\/3 - 152*x**3\/3 - 120*x**2 - 420*x + 1. Factor i(o).\nAnswer: 4*(o - 3)*(o + 10)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - f**2 + f + 1. Let g be p(-4). Let r be 7\/(g\/(-198))*7. Let d = r - 29. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5477.6 rounded to the nearest ten?\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**2 + u + u**3 + 7*u**2 - u**2 + 6. Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 32*p - 113*p = -1260. Solve -25*l + 91 = -p*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = x + 2*f, 2*f + 32 = 2*x - 3*f. Suppose 3*a - 58 = -x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(0*f**3 + 3*f**3 - f**3) + (f**3 + 3*f**3 - 6*f**3)*(1 - 5 - 2) in the form n*f**2 + y + r*f + p*f**3 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11691*g**3 - 7739*g**3 + 985*g**3 - 4349*g**3 - 115*g**3.\nAnswer: -22909*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2032 - -643?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 12*m + 4. Let g be a(11). Let o = 9 + g. Let u be o\/(-3 + (-124)\/(-40)). What is the greatest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617093 minus -0.1?\nAnswer: 3617093.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (3 + 1110\/(-8))\/(15\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62329 is divided by 135.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 130435, 4, -3\/4, -5.\nAnswer: -5, -4, -3\/4, 4, 130435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let o = 0.22 - -0.18. What is the nearest to d in o, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r = -15*r - 88608. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**3 + 9\/2*m**5 + 0 + 0*m + 0*m**2 - 2*m**4.\nAnswer: m**4*(9*m - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30859 + 102973. Is 202 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -3*n**2 - 3. Let c(q) = 6*q**2 + 858 - 858. Calculate c(j(i)).\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 11. Solve 0 = -f + 2*k - 13, s*f + 3*k = 5*f + 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*l + 369*l - 4*j = 1532, j = 2*l - 1511. What is the lowest common multiple of l and 20?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 11*u**2 - 6*u + 4. Is 11 a factor of y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 479292372 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Suppose -2*s + 10 = -0*s. Let v(x) = -2*x**2 + 6*x + 6. Let c(h) = 2*h**2 - 5*h - 5. Let q(j) = s*v(j) + 6*c(j). Calculate b(q(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = -2110 - 726 + 46. Let f(b) = -b**3 + 9*b**2 + 3*b + 3. Let h be f(5). Let m = n + h. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 50, -5, -4, 71?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0 + 1\/2*m**2 - m - 7\/12*m**4 + 0*m**3 + 1\/20*m**5. What is the units digit of o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(89760\/40))\/((6\/3)\/(-18)).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 3*t + 6, 3*t - 8 = 5*x - t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5393 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1313 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63196304*g**2 + 63196304*g**2 + 7497*g**3.\nAnswer: 7497*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-390034)\/4360524 - 2\/(-111))*1\/(2\/44)\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, 3, 0, 5 in decreasing order.\nAnswer: 5, 3, 0, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -5*v**3\/6 - 5*v. Suppose -h - 5 = -61. Let l(p) = 56 - h + 3*p**2. What is l(q(y))?\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68108*a**2*i - 250773*a**2 wrt i?\nAnswer: -68108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 784289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*f - 34*f = 35*f + 5492. What is the remainder when f is divided by 197?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-437)\/(-3680) + (-6)\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*z**2 + 40*z + 32*z - 129*z + 30*z + 45*z as b*z**2 + q + j*z and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose 26 = -l - 5*n, -5*l + 8 - 28 = f*n. Let h(b) = -b**3 + 20*b**2 + 22*b - 21. Let r be h(21). Is l smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.941 + 0.059. What is the nearest to y in -2\/11, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + 39*d**2 + 37*d + 12. Let w be l(-12). Suppose 25*u + 18*u = 172. Solve 0 = -u*s + 4*y + 10 - 30, w = -4*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-7))\/(f*f**(-1)*f*f))\/(f\/(f\/(f*f\/(f*f**(-1)*f))*f)*f)**8 assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77939261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5838864.\nAnswer: 2, 3, 103, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 0*l**3 - l**3)*(1 - 1 - 2*l) + (23*l**3 + 24*l**3 + 148*l**3)*(2*l - 2*l + 3*l).\nAnswer: 591*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**3 + y**2 - 16*y + 16. Calculate t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 11*a**6\/120 - 17*a**5\/30 + a**4\/24 + 2*a**3\/3 - 42*a**2 + a. What is t(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0*j**3 - 1\/6*j**4 - 6*j + 0 + 0*j**2. Let p(i) = 47*i**2. Give n(p(l)).\nAnswer: -4418*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 2*h**2 - 2*h - 2. Let n = 19 - 21. Let a(i) = i**2 - i - 1. What is n*a(c) + u(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2543 + 811*j**3 + 2543 + 2 - 2 + 2*j**3 + (-3 + 5 - 3)*(0*j**3 + j**3 - 3*j**3) + 0*j**3 - j**3 + 2*j**3 + j**3 - j**3 - j**3.\nAnswer: 815*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5373\/238 or 24?\nAnswer: 5373\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 5 (b) 1650 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l - 7. Let i be (-20)\/(-12)*(-1 + 4). Let n(r) = r - 1. What is i*n(a) - t(a)?\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1981395 and 1585116.\nAnswer: 7925580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1430 + 1430.2. Which is the closest to 1? (a) -0.2 (b) v (c) 1\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6524?\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z - 0. Let l be z\/2*(-16)\/(-12). Let m be (2\/5)\/(3\/(-30)). Put -5, l, m in increasing order.\nAnswer: -5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, -5987, 1, 0 in descending order.\nAnswer: 230, 1, 0, -5987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -84. Let r(z) = -1. Let x(w) = -w - 3. What is l*x(n) + 3*r(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/65)*l*l)\/(l\/((l**0\/l*l*l*l)\/l)) assuming l is positive.\nAnswer: l**(197\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3015 + -51412?\nAnswer: -45364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3143*x**3 - 3147*x**3 + 0.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 106 = 3*o. Let i(q) = o*q - 51*q - 1 + 0. Let b(v) = 2*v. Let m(u) = u**2 + 3*u - 15. Let s be m(-6). Determine s*b(k) - 2*i(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -995, -2382, -4207, -6464, -9147, -12250, -15767, -19692?\nAnswer: -24019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/11, 5\/2, 0.097, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, h: 16, z: 1}. What is prob of picking 2 h?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 + -8 + 3 + (2 - 0). Let q(y) = 10*y + 20. Let f(u) = 2*u + 4. What is v*f(l) - 3*q(l)?\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p - 18. Let h be ((-2)\/(-8))\/(5\/(-12))*(-61 + 66). Calculate g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10*t = -14*t + 18, 6 = i + 4*t. Does i = -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*q**3 + 28277*q**2 - 31*q - 89152713?\nAnswer: -87*q**2 + 56554*q - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2 - 3*j. Let l be y(5). Suppose -33*t + 32*t + l = 0. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*y**2 + 20*y**2 + 19*y**2 + (-2*y + y - y)*(-3*y + 3*y + 3*y) - 3*y**2 + y**2 + 3*y**2)*(-3 + 5 - 1 - 2*y**3).\nAnswer: -120*y**5 + 60*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/(26\/(624\/20)). Suppose 2*j + 1564 = 4*d + j, 2*j = -5*d + 1942. Calculate the highest common factor of t and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.18333*-17\nAnswer: -88.11661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*y + 7 = -5*y, 0 = y - 1. Let w = 26 + -9. Solve -2*l - c*p = -p + w, 5*l + 5*p + 35 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2 - 5*r - 5. Suppose -3*h = 2*h - 5*o + 45, o = -4*h - 46. Let t(b) = 15*b**2 - 9*b - 9. Determine h*k(d) + 6*t(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18215570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*4\/(-80) + (-786)\/(-10). Let b = -64 + n. Suppose -9 = 2*u - b. Solve j = u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7716 is divided by 625?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 134?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (537 - 296 - 231 + 399*v)*(4*v**2 + v**2 - 3*v**2).\nAnswer: 798*v**3 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-12 + (10 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 23*y**3 - 19*y**3 - 33*y**3 in the form w*y + h*y**3 + z*y**2 + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*z + 243*z - 132*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, e: 4, r: 4, c: 1}. Give prob of picking 1 h, 1 e, and 1 c.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -784*f**3 - 7*f**2 - 5*f + 1. What is the tens digit of q(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -210987, -210988, -210989, -210990, -210991?\n\"Answer: -b - 210986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33978895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-83 - 7\/(35\/15)). Suppose 0 = -30*w + x + 7. Factor -2\/9*o**w - 2\/3*o - 2\/3*o**2 - 2\/9.\nAnswer: -2*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 24 = -4*i, -i - 39 = 4*d + 2*i. Let m be 8\/10*(d + 7). Which is greater: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160148300 to the nearest one hundred thousand.\nAnswer: 160100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 62 = -5*b. Is (b\/(-15))\/(2\/177) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331189.\nAnswer: 19, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 1:07 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + 3*x**2 - 3. Let y(n) = 5*n**2 + 3*n. Let i be y(-1). Let d(a) = a**3 + a**2 - 1. What is i*p(f) - 6*d(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2217\/2 in -1\/3, -4, -6\/7, -1\/6, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2689 - -1593. Let q be 209\/n*(-413)\/(-21). Let l = q + -57\/274. What is the common denominator of 64\/21 and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -405*l + 1259. What is the hundreds digit of t(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -729*l**3 - 16*l**2 + 8*l - 2203. Let f(g) = 485*g**3 + 10*g**2 - 5*g + 1469. Let t(o) = 8*f(o) + 5*w(o). Differentiate t(p) wrt p.\nAnswer: 705*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72555703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.863 + -0.137. Which is smaller: d or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*o**3 - 506*o**3 + 30*o - 30*o.\nAnswer: -891*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4479319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24785 - -26540. What is the smallest common multiple of u and 1755?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -8.5, 12.6, 8\/3, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let n = -8 - -17. Let m = n + -14. Which is the third smallest value? (a) 2 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 24 = 4*b - b, 4*d - 11 = 3*b. What is the remainder when (36\/14)\/(((-8)\/4)\/(-14)) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/3 + 5*g**3 + 23*g**2 + 65*g\/3 - 50 = 0 for g.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/(-125)*(-20)\/(-8))\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*a*o + a + 3*o + 73 wrt o.\nAnswer: 34*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {y: 1, q: 3, l: 2, b: 3, u: 1, w: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*d + 2)*(0 + 14 + 1).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242073\/93280 - -4\/2915. Let h be 2334\/(-20) - (-2)\/5. Let r = h + 120. Find the common denominator of u and r.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -85 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)\/(t\/(t\/t**(-1\/2))))\/(t**(-2\/9)*t**4))**50 assuming t is positive.\nAnswer: t**(-1250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 9. Suppose -5*n - w = -17. Suppose -n*s = -9 - 162. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 1364 = 4*c, -3*c - 685 = -2*g. Let q(z) = g*z - 172*z - 161*z. Let n(w) = 14*w. Give q(n(a)).\nAnswer: 70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 39. Calculate z(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00282498268 to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, b: 3}. What is prob of sequence bjb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*i**2 + 1 + 67*i**2 - 18*i**2 - 21*i**2 + 36*i**2 to p*i**2 + r*i + x and give p.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.33197 tonnes to kilograms.\nAnswer: 7331.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**3 - 2*m**3 - 8 + m**4 + 5)*(-4 + 8 + 3).\nAnswer: 7*m**4 + 42*m**3 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 690208\/33 < 20916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, h: 1, v: 1}. What is prob of picking 3 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = r + 2*r + 107114. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9648313s in nanoseconds?\nAnswer: 964831300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -50. Let t = -23 + d. Which is the biggest value? (a) -3 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -80366317, -80366318, -80366319?\n\"Answer: -h - 80366316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71468 is divided by 10025?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*5*(2 + 4 + -3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**3 + 4. Let x(u) = -16*u**3 + 9. Calculate 9*t(p) - 4*x(p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*o. What is the closest to o in 0.02, -2\/23, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 891\/10 + -89. Let g = -13\/30 + u. Let l = 119 + -597\/5. Is l less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3983\/(-35)*2 + 2\/(-5). Which is greater: q or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 5, 10, 17, 26?\n\"Answer: q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -19*b**2 + 4886*b + 9. Let a(k) = 64*k**2 - 14656*k - 30. Calculate 3*a(o) + 10*m(o).\nAnswer: 2*o**2 + 4892*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3035666 (base 7) to base 12\nAnswer: 15573b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16106, -32200, -48284, -64352, -80398?\n\"Answer: c**3 - c**2 - 16098*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Let s(m) = -m**2 - 7*m - 1. Let t be s(-7). Let j(h) = h + 3. What is t*j(l) - 2*n(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 10*p**2 + 1. Let w be 72\/4 + 2 + 0\/2. Let v(c) = w*c - 40*c + 18*c. What is v(d(r))?\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21076\/(-944109) - 2\/(-72) and -31\/6?\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w**3 - 12*w**3 + 22*w**3)*(-2*w - w + 7*w)*(-2*w + 1 - 1).\nAnswer: -200*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3706228 divided by -5.\nAnswer: 3706228\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 414 + -1?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 1\/3*g**3 + 3*g - 2 - 7\/2*g**2. Let l = 23 - 18. Calculate f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55279 + 48993. Suppose 5*x - 376728 = 6*x. Let i = s - x. Round i to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3835*j + 3800*j - 97*j**3 + 358*j**3 to the form b*j**2 + z*j**3 + i*j + a and give z.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 156, 421, 810, 1323, 1960, 2721?\n\"Answer: 62*s**2 - 45*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*q**3 - 50345*q**3 - 95 + 189 - 94.\nAnswer: -49845*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 303745969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2792, 5601, 8410, 11219, 14028?\nAnswer: 16837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 3880280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 25*k**5\/2 - 4578335*k**4 - 1831651*k**3\/2 + 57870308*k**2 - 44684598*k + 8790408 = 0.\nAnswer: -4, 2\/5, 3, 366267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/3 - 31\/6. What is the second biggest value in 2\/13, 1\/22, s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpep when four letters picked without replacement from {u: 6, p: 3, e: 6, d: 4}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*l**2*s*w**3 - 2*l**2*s*w + 4500*l**2*w**3 - 6088*l*s*w - 2*l*s - 6*l*w**3 + 2*l*w + 6*s - w**2 wrt l?\nAnswer: 50*s*w**3 - 4*s*w + 9000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102193 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.39409l in millilitres?\nAnswer: 29394.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 - 11*d + 9. Let j(z) = -5*z**2 - 13*z + 10. Let k(u) = 6*a(u) - 5*j(u). Suppose 10*o - 5*o = 0. What is the units digit of k(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -59. Let d = a + -7. Calculate the remainder when 71 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6741003803 to the nearest integer?\nAnswer: 1889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 4. Let d(q) = -q**2 + 21*q - 102. Let t be d(24). Let o = t + 174. Calculate l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4544, 4542, 4540, 4538?\n\"Answer: -2*s + 4546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 108*m**2 - 3*m + 9. Let d(w) = 36*w**2 - w + 3. Let q(c) = -11*d(c) + 4*j(c). Is q(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 8, 2, 3, -24.\nAnswer: -24, -2, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 + 21 - 13 + 25*k wrt k?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.02, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -67 - 177. Suppose 75 + g = 2*x. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -3\/4, -4, -346?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m)\/m)**(-4\/11) assuming m is positive.\nAnswer: m**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5 + 4. Let j be (38 - 39 - -4*1) + 19. Suppose -x = 6*f + 52 - 15, -j = x + 3*f. Sort s, 0, x.\nAnswer: x, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20654096\/175 + -118023. Let w = l - 3\/25. Which is the nearest to -0.1? (a) w (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 816.5204m?\nAnswer: 816520.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.63*13.1\nAnswer: 47.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - 8 + 18*d as t*d + k and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25880 + -4?\nAnswer: -25884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12197303 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 4*f - 5*f + 5*f - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**5 + 31*l**4 - 35550*l**3 + 854113*l - 2 wrt l?\nAnswer: -20*l**3 + 372*l**2 - 213300*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 10. Let b = -1 - -6. Let i = b + x. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/143, -14.7, 0.3?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/747710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -1*sqrt(320))\/(sqrt(40)\/(sqrt(10)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c + 2 + 0*c**3 + 1\/6*c**4 + 1\/2*c**2. Let i(z) be the first derivative of m(z). What is the derivative of i(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/8)\/(13\/156). Suppose 5*w = -d + 4*d + 40, n*d + 22 = -4*w. Which is smaller: d or -80\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldlld. Give prob of picking 3 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75\/22? (a) 57 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(143) - (1*sqrt(143)*-1 - sqrt(143) - sqrt(143)))*2)\/((sqrt(1100) - (sqrt(1100)*-4 - sqrt(1100)))*-1 - sqrt(1100)))**2.\nAnswer: 832\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -81955.9329 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6555 is divided by 67?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2217133567 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2412 + -1015. Round v to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.059 at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 320032140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = q, 5*k - 2*q = -5*q - 3. Suppose -3*y + y - 4*s = -14, -4*y + s + 1 = k. Put y, 6, -1 in descending order.\nAnswer: 6, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:07 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 + 180 = 92*t - 327. What is the closest to t in -4, -0.3, -0.03, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/7)\/n*n*((n\/(n\/(n*n**8*n)))\/n)\/n assuming n is positive.\nAnswer: n**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680627 is divided by 1800?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) + 2*sqrt(960) - sqrt(15))\/((sqrt(60)\/sqrt(6))\/sqrt(2)).\nAnswer: 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 18*a - 12 = 16*a, 3*l + 5*a + 8 = 0. Let n = -1 + 2. Suppose s = l - n. Solve -s*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**3\/3 - 7*i**2\/2 - 8*i + 3. Let q be f(10). Let a = 52 - q. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1609*a**4*z - 12*a**4 - 1943*a**3*z - 17*a**2*z - 3*a**2 + 128*a + 5*z + 127 wrt a.\nAnswer: 38616*a*z - 288*a - 11658*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v. Let z(q) = 81*q**2 - 72*q + 36. Let k(t) = -23*t**2 + 20*t - 10. Let c(r) = 18*k(r) + 5*z(r). Calculate l(c(u)).\nAnswer: 153*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144 - 92*o**4 - 1193*o**4 - 1134 wrt o.\nAnswer: -5140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agojgaooggjgqgf. Give prob of picking 3 o and 1 f.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -735 - -217467?\nAnswer: 216732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 7*h - 3*h)*(-3*h - 2*h + 3*h) + (56*h - 49*h + 31*h)*(-3*h + 2*h + 3*h).\nAnswer: 74*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.606 + 8.5. Let v = -0.306 - n. Let f = 1.5 - 1. Which is the biggest value? (a) -2\/5 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**3\/3 + 2*g**2 + g + 3. Does 17 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a\/(((a**(-2\/23)*a)\/a)\/a)*((a\/(a*a\/a**(-2\/3)))\/a)**35)**(-1) assuming a is positive.\nAnswer: a**(31342\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -89*r - 320. What is the remainder when 190 is divided by z(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 8) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*-3)\/(4070\/(-666)))\/((-684)\/2280)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-25) + 4\/(0 + -20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 937370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11509184 is divided by 599?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54588, -54590, -54592, -54594, -54596, -54598?\nAnswer: -54600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.435 - 0.3907. What is y rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -872, -876, -892, -926, -984, -1072?\n\"Answer: -o**3 + 3*o - 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**(-39)*(g**(-1\/2))**(-2\/53))\/(g*g\/g**(-1)*(g\/((g*g**(2\/5))\/g*g*g*g))\/g*(g\/(g**(-7)\/g))\/(g**(-2\/3)*g)) assuming g is positive.\nAnswer: g**(-18959\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4001 + 8005\/2. Which is the nearest to 13? (a) -9 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:11 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2\/195, 2, 1\/5, 1342 in descending order.\nAnswer: 1342, 2, 1\/5, -2\/195, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13*k + 26341 = 8*k, 0 = 5*r + 5*k - 43835. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/9)\/((h\/(h*h**(-2\/7)))\/h))\/(h**(-2\/13)\/h*h*h**(-2)) assuming h is positive.\nAnswer: h**(1985\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 27*a**2 + 41. Let y(i) = -34*i**2 - 46. Let z(g) = -5*r(g) - 4*y(g). Let j(s) = 68*s**2. Give z(j(n)).\nAnswer: 4624*n**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - h - 7. Let a(w) = -w**2 + 1. Calculate 5*a(g) + x(g).\nAnswer: -6*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 - 3 = 0. Let p = -47\/255 - -1\/15. What is the closest to -2\/7 in -2\/7, i, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456662?\nAnswer: 2, 3, 17, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154.50176 + 154.5. What is p rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 5*g**3\/3 - 995*g**2\/4 - 1515*g\/2 + 6981. Solve i(r) = 0.\nAnswer: -3\/2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127 and 2258441?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 1 - -1) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 33.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Suppose 2*f - 3*j - 87 = r, -3*f = -j - 83 - 58. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*k**4 + 52\/7*k**2 + 0 + 4*k + 20\/7*k**3 = 0. What is k?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*x - 147 + 178, -5*r + 193 = 29*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 16. Let f = -3 + a. Calculate the lowest common multiple of (-30)\/(-6)*2\/5 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 3*i**2 + 6*i.\nAnswer: -3*i*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25\/4 + 5\/4*m**2 - 15\/2*m = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*16\/(-1080) - 36\/(-81).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28451 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 171*s + 117. Let a be u(0). Solve -w = 12*w - a for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.3. Let x = -14 + 15.3. Let g = x - -0.7. Put j, g, -1 in decreasing order.\nAnswer: g, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:42 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -33. Let b = v - -26.3. Let w = 49 - 48.8. What is the nearest to w in -2, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(1\/4)\/u)\/u)**50*(((u*u**(-2\/5)*u)\/u)\/u)**(-2) assuming u is positive.\nAnswer: u**(-367\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -176. Suppose -r + 27 = a. Find the common denominator of -52\/25 and (-1)\/(-4)*a - 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(5)) + (sqrt(5) - ((-3*sqrt(35))\/sqrt(7) + sqrt(5))) - (0 + -1*(sqrt(5) - sqrt(30)\/(sqrt(6)*1))**2).\nAnswer: -15 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 72 = -450. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-18)\/20)*9\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33470, 66941, 100418, 133901, 167390, 200885?\nAnswer: 234386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 7) to base 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7 = -11*z. Let b be (-161)\/897 - 2\/(-6). Sort b, 8, 4, z in decreasing order.\nAnswer: 8, 4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-133)\/(-28) + (-2)\/(-8). Solve -4*t = -5*t + v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 4*s**2 - 4*s + 3. What is the tens digit of i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h**2 + 0*h**2 + 6*h - 3 - h**2. Let g be z(4). Find the third derivative of m**g + 0*m**2 + 3*m - 3*m + 6*m**2 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4611357 + -21.\nAnswer: -4611378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - -8) + ((4\/(-5))\/(-4) - 182\/(-90)). Factor -22\/9 - y*b + 2\/9*b**2.\nAnswer: 2*(b - 11)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1126 - 658. Calculate the common denominator of x\/128*9\/(-54) and 13\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 6 + 11 + o**2 to y*o**2 + d*o + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.9 times -1.055?\nAnswer: -44.2045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669825563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -829732 * 2\nAnswer: -1659464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(-4*sqrt(252)))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416592.\nAnswer: 2, 3, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 95*j + 1064. Give f(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(288)*-1 + (-1 + sqrt(288))**2*-5 + 3 + (sqrt(288) - sqrt(288)*-2)*2 + -3.\nAnswer: -1445 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*g**2 - 18*g + 18*g)*(0 - 10 + 28 + g).\nAnswer: 57*g**3 + 1026*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 315383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 11997?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 - 1050*h - 1123. Determine g(-29).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + 0.04. Let v = 0.2 - 0. Let x = -0.3 - v. Which is the closest to 1? (a) t (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 - 13*r + 48. Let l be t(4). Let u = -9 + 3. What is the remainder when 81 is divided by u\/((-1)\/l*-6) + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/6 + 7033*v**3\/6 - 2059201*v**2 - 18599666*v\/3 + 61881620\/3 = 0. What is v?\nAnswer: -5, 2, 3518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(54)\/sqrt(2) - sqrt(27))\/(-2*sqrt(81)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-740)\/(-259))\/(3\/1659)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 7, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 23.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132200311 (base 5) in base 4?\nAnswer: 2201300311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33)\/(-88) + (4767\/8)\/3.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -703007 divided by 1\nAnswer: -703007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 16*q - 19. Let l(n) = n**2 + 8*n + 10. Let f(g) = 5*l(g) + 3*u(g). Suppose 4*o + 23 = -3*k + 3*o, -k - 5*o = 31. What is f(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 10 = -3*o. Is (-19188)\/(-8) - (7\/o)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540295 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 3) + (-868)\/(-420). Let p(k) be the first derivative of -g*k**3 - 5 + 1\/5*k**2 + 0*k. Find y, given that p(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*w + 3. What is the smallest common multiple of ((-22)\/5)\/((-2)\/10) and ((-5)\/(-15))\/(w\/36)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/160)\/(-9*(-3)\/18). Let u(t) be the third derivative of q*t**6 + 0*t**5 + 0*t**3 - 1\/672*t**8 + 2*t**2 + 0 + 0*t**7 - 1\/48*t**4 + 0*t. Factor u(h).\nAnswer: -h*(h - 1)**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 16*f - 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33025556 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b - 13 = 3*d, 3*d = -5*b - 17. Let c = 3 - b. Solve -c*w = -w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42753 is divided by 319.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4*o**(2\/17))**(2\/43))**(-31\/3) assuming o is positive.\nAnswer: o**(-4340\/2193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*-2 - (-3 + 5). Let t = 13 + -22. Let c be (-5)\/(-4) + t\/a. What is the greatest common factor of c and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -12*b - 8. Let z be (b - -1) + (-4)\/(-1) + -3. What is the remainder when (-64 + 0 + -6)*(z - -1) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 5, a: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2. Suppose -2*j = 4*v - 26, -2*v = -7*v + 5*j + 40. Let h(q) = -1. Let x(t) = v*h(t) - 4*r(t). Let l(k) = -4*k - 1. Calculate l(s) + 3*x(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -757136, -757133, -757130, -757127, -757124?\n\"Answer: 3*z - 757139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108.7 and -0.08?\nAnswer: -8.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.34.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:35 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/268 and 155\/156.\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 5*k - 1. Let c be m(4). Suppose 26 = 2*l - 0*r + 2*r, -2*r = l - c. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432236 divided by -2?\nAnswer: 216118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-8783 - 0\/(-1)). Let i(t) = t**2 - 32*t + 161. Let x be i(26). Suppose -5*m + 4*l + n - 1056 = 0, -7718 = -x*m + l. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 17. Let n(h) = -h + 7. Calculate n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlzl when four letters picked without replacement from {t: 3, l: 4, z: 6}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.0708?\nAnswer: -0.01416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**3 + 13*q**2 + 2*q - 19. Is j(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10564.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 220.2 - 221. What is the second biggest value in 1, c, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 8*k**3\/3 + 1. Let h(t) be the second derivative of 0*t**2 - 2 + 0*t**3 - 26*t - 5\/12*t**4. Give h(b(c)).\nAnswer: -320*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32023 (base 4) to base 11.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 469924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40117741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -3*x + 71. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8268487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.11009 milliseconds to minutes.\nAnswer: 0.0002185015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s**4 + 22*s**4 - s**4 + (-3*s**2 + 3*s**2 - 3*s**2)*(-1 - s**2 + 1).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 26*t**3 - 30*t**3 + 170*t - 150*t)*(6*t**2 - t**2 + 0*t**2)*(2 - 4 - 1).\nAnswer: 60*t**5 - 300*t**3 + 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*t**2 - 5 + 7 + 6 wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130078 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 201012379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h**(-2)\/h)\/h)*h)\/h)\/(h**(-1\/8)\/h)*((h\/h**0)\/h)**46 assuming h is positive.\nAnswer: h**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207387 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: Simplify (6*(5*sqrt(312)*1)\/sqrt(12))\/((sqrt(80)\/sqrt(5))\/sqrt(8) - -4*sqrt(8)\/sqrt(4)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-3)\/2 + -1). Let z = d + 0. Put -4, z, 4 in decreasing order.\nAnswer: z, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-4) - (-97)\/((-2619)\/(-1485)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c + 16 - 16 + (-3 + 2 + 2)*(-4*c + 4*c + c) + c + 7*c + c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18 - -27 - (-6)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 10*n + 181. Let q(i) = -2*i + 3. Let j be q(4). List the prime factors of 12 - (n\/j - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11 - 6*d - 54 + 0*d. Let x be b(-11). What is the highest common factor of 207 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 39 + 7*u + u in the form s*u + w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -6335715?\nAnswer: 6335722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) + sqrt(42)\/sqrt(6)))**2 - (-3 + (sqrt(76)\/sqrt(4))**2 + sqrt(19)).\nAnswer: -45\/4 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 563724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - 1c297?\nAnswer: -1c2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x - 1. Let v(o) = -2 + 3 + 9*o - o**2 + 0*o**2. Let l be 5\/3*-9 + 6 + 2. What is l*p(n) - 5*v(n)?\nAnswer: -2*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441948462 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: Is 12244128815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1 + (-3 - 1))\/(6\/(-40)) and 2\/((2\/(-72))\/((-72)\/16)).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1643*b + 8018 + 197 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 9, -d + 0*r + 178 = -r. Let n = 222 + d. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 4. Suppose 0*p + c = 3*p. Suppose p*x = -0*x + 24. What is the lowest common multiple of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7540320348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 323598533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10457, 10438, 10419, 10400, 10381, 10362?\n\"Answer: -19*f + 10476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1983*r**2 - 29*r + 16. Let i(v) = 1988*v**2 + 26*v - 17. Let y(d) = -3*i(d) - 4*k(d). Find the second derivative of y(t) wrt t.\nAnswer: 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsbskttnnpttknssknkp. What is prob of picking 1 p and 2 k?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 - 2*l + 4. Let w = -4 - -4. Suppose z + 3 = w, -4*z = d - 5*d. What is the units digit of t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbxxxxbbbbx. What is prob of picking 2 x?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3821 + 3825.682. Let v = q + 0.318. Let t be -1 - 1\/(8\/(-18)). Put t, -1, v in ascending order.\nAnswer: -1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from annnnanaaannaaaa. Give prob of picking 4 n.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39290473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Suppose 2*p - 39 - 15 = 0. Suppose 3 + p = 5*g. Determine s(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39000 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 33, -5, -2 in increasing order.\nAnswer: -5, -3, -2, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2 + 0*k + 3 + 3*k. Let u be 0 + 4 - (-2)\/1. Is s(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + q**4 - 7*q + 2*q - 4*q + 0*q**4 as y*q + g*q**2 + v + f*q**3 + z*q**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -59. Let k = 33 - m. Does -186\/7 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 57. Suppose 2 = z + 3*q - 13, -4*z + 60 = 5*q. Calculate the remainder when v(0) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22.6 and 1216886?\nAnswer: 1216908.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 - -7192704952\nAnswer: 7192704952.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 107 + 262 = 0. Solve -2*m = 4*y - 16, 5*m - x = -5*y - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.043 - 2.043. Let v = 0.03 + 0.37. Let l = -111.1 + 111. What is the closest to l in v, 10, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132711509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*p = -8, -7168*r + 7170*r - 4 = 4*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 717, 2, -4\/3, 3\/83, 2\/9, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, 0 = c - 3*w - 2*w - 2. Let h(a) = -2*a - 7. Let x(g) = -g - 6. Let j(v) = -6*h(v) + 7*x(v). What are the prime factors of j(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (59\/(-3))\/(5\/(-45)*3) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11101 and 6205.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 at most -2821856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82884310477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*((sqrt(220)\/(sqrt(99) - sqrt(11)))\/(sqrt(64)*-1))**2*3.\nAnswer: 177\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 - 69 = 2*q. Let a = q - -8. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p + 14. Let g be n(-6). Let l = 54 + -30. Let o = l - g. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, a: 4, t: 2, m: 1, u: 1}. What is prob of picking 1 m, 1 a, 1 u, and 1 t?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2223242 (base 5) to base 16.\nAnswer: 991d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*0 + (-75)\/(-25). Let x(z) = -3*z + 9. Let v be x(r). Solve l = -v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Suppose 1 = -y - 3*h, 0 + m = y - h. Is 1 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/9 (b) 0.3 (c) 0.02 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649291943.\nAnswer: 103, 25721281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 + 5*v + 5. Let l be m(5). Let y = 2 + -4. What are the prime factors of (y\/4)\/(2\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*j - 35, 4*j + y + 280 = 259 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.827499 + 746126.\nAnswer: 746132.827499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -23*z**5\/20 - 8*z**3\/3 - 10*z. Find the second derivative of x(j) wrt j.\nAnswer: -138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttuu. What is prob of picking 1 t and 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 140 = 494. Suppose 0 = -2*a + 5*a - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**2 + 3*z + 2. Let o be d(-2). Let w = o + -8. Calculate the greatest common divisor of w and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 0*i - i - i - 3*i + 6*i + 2*i + 1 - 1 + (0 - 3 + 1)*(0*i - 2*i + i) - 7*i + 6*i - 7*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 3. Let q be s(4). Let b be ((-10)\/(-4))\/(q\/((-20)\/6)). Let r = -11 + 9. Are b and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*t**3*v**2 + 2262*t**3 - 562*t**2 + 350752*t*v**2 wrt v?\nAnswer: -24*t**3*v + 701504*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1000110110100000?\nAnswer: -1000110110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9910 divided by 5.\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/1032*8\/((-80)\/(-5)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 175743795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 q when four letters picked without replacement from qyzqyqasss?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)**22\/(q**0)**(3\/5))\/((q**(-5)*q**(-4\/7))\/(q**(-2\/3)*q*q)**(-16)) assuming q is positive.\nAnswer: q**(131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a**3 + a**2 + a - 1. Let l(v) = -v + 13. Suppose 0 = -3*j - 4*x + 76, j - x - 10 = 6. Suppose -j + 68 = 4*y. Let d be l(y). Give f(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.018 and 294.\nAnswer: 5.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 23. Determine c(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54039371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1957909*s + 14. Let x(f) = f**2. Determine z(x(i)).\nAnswer: -1957909*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*f = -128*f - 1160. Let k = f + 302. Solve -2*w + 6*w - k = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1197\/(-28))\/(-9))\/(1\/(-4)). Let f = w - -118. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 248, 364, 482, 602, 724, 848?\n\"Answer: w**2 + 113*w + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(5)*-2 + sqrt(30)\/(sqrt(10)*4*3))*3)**2.\nAnswer: 15123\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2868 divided by 2.\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 23 = 5*k, 0 = 4*w - 5*w + 3*k + 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2114 = -4*h, -4*h = -2*u - h + 2121. Let a = -85741 + 260462\/3. Let z = u - a. What is the common denominator of -50\/113 and z?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 229*i - 13721. Give a(60).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c - 25?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.93 + 17. Let j = w + 0.53. Let s = 474 - 1424\/3. Which is greater: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 c, and 1 e when four letters picked without replacement from xzqeqcc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7980836 is divided by 3990410?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040247.\nAnswer: 3, 13, 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -7. Suppose 0 = -69*b + 68*b - g - 2, 2*b = 2*g - 4. Put b, 4, c in increasing order.\nAnswer: c, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let k be 10\/75 + (-102)\/2790. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47088, -93446, -139804, -186162, -232520?\n\"Answer: -46358*g - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 1\/56*d**8 + 1\/4*d**4 - 1\/15*d**5 + 0 + 1\/105*d**7 + 0*d - 1\/10*d**6 + 5*d**2 + 1\/3*d**3. Solve f(k) = 0 for k.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 14*u**2 + u - 9. Let n be f(14). Let x(l) = l**3 - 4*l**2 - 4*l - 4. Let o be x(n). Let d = o + 10. Is 11 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1352\/(-1690) + 18\/(-40))\/(1\/12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1143*w. Let y(j) = -661*j. Give y(o(l)).\nAnswer: -755523*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 392*i**2 - 4228*i - 16320.\nAnswer: -4*(i - 85)*(i - 16)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.78 smaller than 0.018045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 37. Suppose -4*s - 5*x = -95, x + 2*x - 15 = -s. Let d = s + p. Solve y = 2*g - 3*y - 16, 2*g - 2*y = d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3640136935 and 890?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/65 and 59\/39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 881062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -840\/4103 or 1?\nAnswer: -840\/4103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 29 - 913. Let c = -141 + q. Let o = -42 + c. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84500 + 24.5\nAnswer: 84524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 2*v**4 + 61*v - 59. Differentiate j(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:40 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**5*x + 6*t**3*x + 35*t**2*x + 3*t**2 + 2*t wrt t?\nAnswer: -60*t**2*x + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 97*d**2 + 96*d**2 + 0*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -102. Calculate the remainder when 54 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18702214563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a17a4 + -5?\nAnswer: -9a17a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4 + 35 + 4. Suppose 5*j + t = 213. Let p = j - 37. Which is the third biggest value? (a) -0.1 (b) p (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 342 = -633. Let w = f + 712. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 104, 238, 426, 668?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 162*d + 163. Calculate f(-161).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**7\/840 - v**6\/180 - v**3\/3 + 3*v. Let a(l) be the second derivative of k(l). Find the third derivative of a(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025275 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: How many minutes are there between 5:24 PM and 10:37 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -33. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2025*(-13 - 201\/(-15)) and 270?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 698 + -695. Solve 0 = -4*m + 5*s + 5, -3*m + 0*s + t*s = -3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488.79 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + 17 + (-2 - (2 - 2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 6, 1.2, 2.8, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b**3 - 5*b**2 + 91*b - 24. Let g(o) = 7*o**3 - 2*o**2 + 49*o - 12. Let t(u) = 11*g(u) - 6*p(u). Determine t(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -13 in decreasing order.\nAnswer: 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*-5.4.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l*l*l*l**4*l))\/l**(-3)*(l**1)**(-3\/10))\/(l\/(l\/((l\/(l\/(l\/(l**(-5\/6)\/l*l*l)*l))*l*l)\/l*l*l))*l**(1\/2)*(l**(-2\/7))**(-8)) assuming l is positive.\nAnswer: l**(-2923\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7275 and 161275?\nAnswer: 46931025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*a - 77*a = -1164*a + 2739 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1181 divided by -8.\nAnswer: 1181\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 4. Let v(q) = -2089*q**2. What is o(v(x))?\nAnswer: -4363921*x**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6\/u*u*u\/(u\/(u*u\/((u\/(u\/(u*u**(-3\/5))))\/u)))*(u**(-2\/21)*u)\/(u*u**(-1)) assuming u is positive.\nAnswer: u**(998\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 3*v - 21189*v**4 - 19*v + 0*v + 21190*v**4 - 1 - 4*v**3 as n + z*v + o*v**2 + l*v**3 + r*v**4 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/12 - 2*j**3\/3 - j**2\/2 - 25. Let i(z) be the second derivative of a(z). Determine i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6041 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from rgggggggggggg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13501763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/4 + 1*9. Let u(q) = 82*q - 64*q - 140 + 109. What is the tens digit of u(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242330 + -411213?\nAnswer: -113333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, -1, 113, 0.415?\nAnswer: 0.415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 2*y - 11. Suppose 3*r + 43 = 5*g + 2*r, 0 = 3*r + 9. Determine f(g).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886385059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/15368 - -12681\/140233. Let n = 5\/146 + l. Let v = 31 + -154\/5. Which is the third smallest value? (a) 10 (b) 1\/3 (c) v (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sookkoookkt. Give prob of sequence to.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*q - 1 + (-1 + 2 + 1)*(7*q - 3*q - 3*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69980 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792777.\nAnswer: 13, 17, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - 2*h**4)*(3 + 7 - 8)*(-3 + 2 + 3).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 6. Let f(z) = -z + 5. Let k(a) = 6*f(a) + 5*p(a). Let r = -4 - -3. Let c(s) = -s**2 - 3*s. What is r*c(y) + 3*k(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 107659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 19 = 2*y - 23, 5*y = -2*h + 29. Factor -8 + 7*q + 20 + h*q + 3*q**2 + 3*q.\nAnswer: 3*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240165367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 2. Let o be s(0). Suppose 2*a + 3*w - 30 = 0, -7 - 3 = -2*a + o*w. Calculate the remainder when a is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 15*y - 32*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 10*o - 108. Let d = -103 + o. Let l(r) = -r + 5. Determine l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*s + 50, -5*z + 24 = -5*s - 6. Suppose 4*b = 8*b - z, -x + 5*b = -69. What are the prime factors of x?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Let x be (-1)\/(-3) + (-110)\/384. Let t = x - 41\/192. Which is the biggest value? (a) -3\/2 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81635103 divided by -873\nAnswer: -93511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26*2\/8)\/(6\/(-8412)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 60. Let b = 10 + z. List the prime factors of (-1)\/b*4*14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 64*g - 81 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -n - 2305, -9*w + 3*n = -14*w + 2325. Let g = w - 433. Solve -5*c + l = 28, 0 = 3*c - 4*l - 2 + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 - j**2. Let h(y) be the first derivative of -8*y**3\/3 - 1324. What is h(l(q))?\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 13 - 116)*(-5*m - 2*m + 4*m).\nAnswer: 366*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1 - 6*y - 4*y**3 - 1 - 4 - 3*y**2 + 3*y**3. Is d(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 59.66. Let n = h + -1. What is n rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.395 - 205.905. Let o = -211 - n. Sort 0.04, 4, o in decreasing order.\nAnswer: 4, 0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1644*i*m*y**3 - 2*i*y**3 - 8*i*y**2 + i*y - 36*m + y**3 - 4 wrt y?\nAnswer: 9864*i*m - 12*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 199521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1300?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l + 122*l = 144 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2458100 to the nearest ten thousand.\nAnswer: 2460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 11, 25, 2, 68\/19, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + 5 + 8 + -28\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983.7987 nanograms to milligrams.\nAnswer: 0.0009837987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**2 - 8*l + 338. Let f(p) = -5*p**2 + 4*p - 169. Let g(k) = 7*f(k) + 4*i(k). Is g(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {v: 1, r: 1, s: 2, l: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/111 (c) 3\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1722465 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 2, -116, -5, 4.\nAnswer: -116, -5, 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684 and 566694?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.26523 millilitres in litres?\nAnswer: 0.02126523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111177734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*j + 277*j + 146*j - 3435 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*d + d = -10, 5*w = -d - 7. Let o(h) = h**2 - 2*h + 5. Let s(q) = 1. Let p(u) = w*o(u) + 5*s(u). Let p(n) = 0. Calculate n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -15. Let f be c\/7 - 16\/(-56). Solve -16 = -2*t + f*r, -2*r - 1 = 4*t - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**7\/t)\/t)\/(t**(-2)\/t)*((t*(t*(t*t\/t**(-7))\/t*t)\/t)\/t)\/(t**0*t) assuming t is positive.\nAnswer: t**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2977 = 55*p - 13523. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-10)\/(-48))*-5. Let j be (-2)\/(-4) + (-6)\/m. Let v = -0.184 + -0.016. What is the closest to 1 in -0.05, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170 - -81. Let t = -55 - w. Let s = t - 34.1. Which is greater: s or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**17)**(-36) assuming s is positive.\nAnswer: s**(-612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7*413\/590.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -33437?\nAnswer: 13374.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 4. Determine x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1123.13 + -0.13. Let i = s + -1123.00781. What is i rounded to four decimal places?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3209152338 plus 35338?\nAnswer: 3209187676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -20 - -18) + -11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743383 to the power of 1\/2, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19ed (base 15) in base 8?\nAnswer: 12767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 + 20*c + 27. Let s be g(-6). Let u = s + -179. Calculate the remainder when 42 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 31, -2, 70, -8, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -222.3 - 61.7. Let b = -237.3 - t. Round b to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053814 rounded to 7 dps?\nAnswer: 0.0000538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8976000 and 12000.\nAnswer: 8976000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.465572 hours to minutes.\nAnswer: 447.93432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103038*r = 103154*r - 6612 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*p + 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = 6. Suppose o*h - 2*h + 1 = 0. Which is the nearest to -2\/5? (a) 4 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 3*x**2 + 4*x + 5. Suppose 2*q = 6*q - 16. Let n = 0 + q. Give j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 31. Let k be s(-29). Suppose 0 = -2*p + 3*p + 44. Let m = p - -29. Put 2, m, k in descending order.\nAnswer: 2, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3314 + 16964\nAnswer: 16963.6686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -4. Suppose -4*q + 12900 = -j*q. What is q rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.5888 millennia in months?\nAnswer: 1663065.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2326*p - 14*p**2 - 4293*p + 1967*p - 5*p**2 + 18*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = s + 2, s + 15 - 13 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(-3\/11)*h)*h)\/h*h)\/(h*h**(5\/4)*h)*(h**(2\/3))**(-11) assuming h is positive.\nAnswer: h**(-1493\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 2. Let p(u) = 2*u**3 - 2*u**2 - 6*u. Let w(c) = -c**3 + c**2 + c - 1. Let y(b) = t*p(b) + w(b). Does 21 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 43*n + n**2 + 43*n)*(-3 - 10*n + 3) to j*n + w*n**3 + x*n**2 + r and give j.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - m**4 - 3 + 0*m**4 - 1 - 2*m + 2*m**3 in the form g*m + i + j*m**4 + k*m**3 + u*m**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 92430\/210 - 2\/14. Calculate the highest common divisor of a and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139350859 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 68 = -7*x - 212 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.12 - -5.72. Let v = -35 - -38. Suppose 0 = 3*p - 7*p + 3*j + 10, 14 = 5*p - v*j. Sort 4\/7, 3, l, p.\nAnswer: l, 4\/7, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 + -0.01. Let t = n + 0.15. What is the closest to t in 1\/5, 4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273143102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 1. Suppose 3*y = -0 - 6. Let g(s) be the second derivative of -s**3\/6 + s**2 + 42*s. Calculate y*k(x) - g(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.9 - 16. Let g = 0.5 + o. What is the second smallest value in -3\/7, -7, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 3*n**2 + n**2 + ((9*n + 2*n - 4*n)*(-2*n - 4*n + 3*n) + 0*n + 0*n - 2*n**2)*(1 + 0 + 0) in the form a*n**2 + q + u*n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36074655 - -23.\nAnswer: -36074632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 115\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3 + 4. Suppose -4 + 13 = 5*h - 4*q, 0 = q + z. Suppose 8*i - h = 31. Solve -t - i = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61549529 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/13 - 188*g**4\/13 - 3310*g**3\/13 - 1396*g**2 - 24528*g\/13 = 0.\nAnswer: -73, -12, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3585*a**3 - 2757*a**2 - 798032 wrt a.\nAnswer: 10755*a**2 - 5514*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 5, 4, -0.75?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -7*t**3 + 6*t**2 + 11*t. Let q be a(4). What is the units digit of 2 + ((-2)\/(-6) - 1)*q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 9. Let j(q) = q. Let u(k) = 3*j(k) - v(k). What is the remainder when 8 is divided by u(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-34)*(-4)\/(-3))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:07 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -160150, -320338, -480564, -640846, -801202, -961650, -1122208, -1282894?\n\"Answer: -3*v**3 - v**2 - 160164*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5006 - 4*c - 1661 - 1670 - 1675.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 e when three letters picked without replacement from leeeleeeeeeeleleeee.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/1*(-6)\/(-15). Let q = i - -4. Solve -4*u + u - 2*c - 5 = q, -5*u = -5*c + 50 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 10*t**2 - 13*t + 12. Let b(i) = i**2 - 31*i + 119. Let h be b(27). Determine l(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101102100 - -12?\nAnswer: 101102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 239a (base 11) in base 12?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33329043851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3275 and 42425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -69*b**4 + 5*b**2 + 79*b. Let i(a) = 34*a**4 - 3*a**2 - 39*a. Let t(u) = 5*i(u) + 3*z(u). What is the second derivative of t(y) wrt y?\nAnswer: -444*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3*c - 2. Let w be p(4). Suppose -3*l - s + 106 = 0, -w*s + 42 = 2*l - l. Let y = l + -10. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 295, 292, 289, 286?\n\"Answer: -3*m + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*x - 4*x**3 - 11*x**3 - 13*x**3 - 30*x - 7*x**3.\nAnswer: -35*x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 86976*n. Let z(k) = -70*k**2 + 1. Calculate h(z(q)).\nAnswer: -6088320*q**2 + 86976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - n**3 + 1001*n**2 + 1860*n**2 + 3135*n**2 - 6.\nAnswer: -n**3 + 5996*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55305 or -55304?\nAnswer: -55305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4. Let k = 1478\/7465 + 3\/1493. Let t = -24 - -14. What is the closest to f in k, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + 26. Let j(k) = 2*k - 9. Let x(c) = 14*j(c) + 5*l(c). Let r be x(3). What are the prime factors of r\/(-6) + 40\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - x = -4*x + 6, -4*x = 3*w - 5. Let d(h) = h**2 - h. Let z be d(w). What is the third derivative of -3*r**2 - r**z + 3*r**6 + 2*r**2 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 2. Let d be k(-5). Let x = d - -4. Suppose 0 = n - x - 1. Is 1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let m be (-1*v)\/(-3 - -2). Suppose 0 = -m*p - 2*l - 3 + 15, 3*l = 15. Which is bigger: -1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - m - 0 + 19, 3*v + 2*m - 17 = 0. Let k = 11 + -1. Suppose 0 = k*w - 2*w - 24. Solve w*i - y = v, -3*i + y = 2*y + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 + 3 - (2 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2 + 34714*f + 104160 = 0 for f.\nAnswer: -3, 17360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwu when three letters picked without replacement from {u: 3, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 5*l. Let c be y(-6). Let d be -2 - ((-3)\/(-2))\/(c\/8). Solve d = w + 2*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 - 4 + 1 + 4*x - 2*x**2.\nAnswer: -2*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.3 (b) 13\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84)*-2 + sqrt(84)) + sqrt(84))\/(sqrt(12) + (sqrt(12) - sqrt(768)*1)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -97, -209, -337, -487, -665?\n\"Answer: -p**3 - 2*p**2 - 99*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*p - 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q + 5*q + 3006. What are the prime factors of q?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 9*k**2 + 12*k + 12. Let i be c(9). Suppose 2*n + 0*n = z + 74, -4*n - 5*z + i = 0. Calculate the remainder when n is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnl when three letters picked without replacement from oowwonwqoolwnolllo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74488808*i*p*u**2 - 3*i*p*u + 3701*i*p + 5*i*u - 32*p wrt u.\nAnswer: 148977616*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4\/2 + 331*c**3 + 23054*c**2 + 415493*c + 2095941\/2 = 0.\nAnswer: -31, -3, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/(x**(-2\/5)*x))*x)*(x\/(x*x\/(x**(-1\/3)*x*x)))\/x)\/((x\/(x\/(x\/(x*x\/(x**(-6)*x))*x))*x)\/x**(-2)) assuming x is positive.\nAnswer: x**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3\/(-3)*9*(-502)\/6 + -3 and 10.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(180) + sqrt(180) + -2)*5 + 4*(sqrt(180) + -4*(sqrt(180) + 2 + sqrt(180)) + sqrt(180)))**2 + -1)*4.\nAnswer: -17856*sqrt(5) + 41292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33aa (base 12) in base 9?\nAnswer: -7784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 2\/13, 1, -0.69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**4\/4 + 2*h**2 - 85. Let o(a) = 21*a. Determine b(o(u)).\nAnswer: -126*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + 1))*-3 + -1*sqrt(108)*-6 + sqrt(108) + sqrt(108))**2 + 1.\nAnswer: 288*sqrt(3) + 6922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -9 - ((11 - 5) + 18 + (6 - -4))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 185\/4, -4, -3, -122?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3547 is divided by 3534.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 22 - 6)*(5*r + 3*r - 2*r) in the form d*r + v and give d.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let t be k(5). Calculate the least common multiple of t\/15 - 28\/(-3) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5952 and 28624?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/225)\/(324\/(-135)). Let f(z) be the second derivative of 0 - 2*z**2 + 5\/3*z**3 - a*z**5 + 10*z - 5\/6*z**4. What is f(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 3*w - 4. Let p(s) = -4*s**2 - 7*s + 9. What is -5*h(n) - 2*p(n)?\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/208 (b) 1 (c) 591 (d) 2 (e) -2\/5 (f) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 308070 divided by -1141?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Suppose 192 = 3*m + 78. Let c = m - 34. Solve 0 = -4*d - j + 5, 2*d = q*d + 3*j - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 874764, 874790, 874862, 875004, 875240, 875594, 876090?\n\"Answer: 4*f**3 - f**2 + f + 874760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 6*p = 11*p + 3, -m = 5*p - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16019\/7 + 2283. Find the common denominator of w and -51\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2 - 2*s - 4. Let y(w) = 6*w**2 - 2*w - 3. Let q(l) = -l**3 + 10*l**2 - 15*l - 3. Let t be q(8). Determine t*y(r) - 4*z(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 276 + -327. Which is bigger: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34443514.\nAnswer: 2, 7, 107, 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 1, 4, 2, -3 in descending order.\nAnswer: 8, 4, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:38 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 159*f + 811. Let g be a(-5). Solve g*b + 68 = 33*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/55)*h)\/h)**16 assuming h is positive.\nAnswer: h**(-32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 835896431 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -258 + 310. Suppose 0 = -5*o + o + 8. Suppose -o*p - 3*p + 77 = 4*d, 0 = 4*p + 4*d - 64. Calculate the highest common divisor of p and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41698?\nAnswer: 2, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus 3281019160.9944?\nAnswer: -3281019172.9944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 10834616*k**3 + 7336806491716*k**2.\nAnswer: 4*k**2*(k - 1354327)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231 - 159. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 4 + (-4)\/(-4). Let f(t) = -2*t - 2 + 5*t + b - 2*t. Calculate f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 5*h**2 - 8*h + 5. Determine d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6434 (base 7) to base 15.\nAnswer: -a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*o + 162, 4*s - 7*s = o - 237. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*y - 6, 2*y - p + 11 = -0*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d - 1. What is u(4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 6*s**2 + 7*s - 10. Let v(t) = -t**3 - 3*t**2 + 4*t - 5. Let l(z) = -4*o(z) + 7*v(z). Let a(g) = -g - 13. Let b be a(-9). Calculate l(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(78\/(-52884)). What is d rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.08 (b) -3 (c) -2\/11 (d) -3\/11 (e) 2 (f) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1498061, 1498060, 1498059?\nAnswer: 1498058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2834 and 113\/26160.\nAnswer: 340080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57737517 (base 8) in base 6?\nAnswer: 1125201315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 2666.\nAnswer: 23994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(4\/(-8)))\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.86 - -0.73. Is u greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3169339*f**3*o**2 + 3*f**3*o*w + 6*f**2 - 2*f*o**2*w + f*o*w + 9*f*o + 2*o**2*w - 1111*o**2 - 2*o wrt f?\nAnswer: 19016034*o**2 + 18*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/6 + (-1)\/(-3). Suppose 3*x = 2*z - z + a, -3*z = 3*x - 3. Let b(l) = -l**3 + 0*l**2 - 3*l**2 + 4 + 2*l - 2*l**x. What is b(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let n(b) = 5*b**2 + 27*b - 334. What is d(n(x))?\nAnswer: -15*x**2 - 81*x + 1002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 5 + 5)*(-1 + 1 - o) - 2*o**4 + 7*o**4 + o**4 + (o**3 + 0*o**3 + 0*o**3)*(4*o - 4*o + 2*o).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200012221 (base 4) in base 12?\nAnswer: -16b975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*i - 21982 = 700*i - 219*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -3 - 6\/10. Let j = -15.57 + 16.57. What is the second smallest value in 2\/9, j, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.866 = 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/60 + u**4\/3 + 5*u**3\/3 - 2*u**2. Let x be m(9). What is the units digit of 5 - 2 - (x + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -102.6. Let f = -8.7073717 - -9.10737193. Let j = w + f. What is j rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59.16751mm?\nAnswer: 59167.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12 = -2. Let t be 0\/((c + -1)*-1). Is -3\/10 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6)\/((-4)\/(-18)). Suppose -5*w + n = -2*w. Let c(t) = -t - 2. Let f(u) = 2. Determine w*c(d) + 2*f(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + 2*z**4 - 6*z**4 + (-5 + 5 - 2)*(9*z**2 + 2*z**4 - 9*z**2))*(41 - 38 + 44 - 3).\nAnswer: -352*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**2 - 1 - 3 - 143*j + 2 + 29*j**2 - 14*j.\nAnswer: -2*j**2 - 157*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44892468595383 - 5.\nAnswer: 44892468595378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 7995397?\nAnswer: 7995399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*g = 68*g - 364. Suppose -96*l = -g*l - 20. Solve -2*n + l = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -1.7, -2\/5, 5 in increasing order.\nAnswer: -1.7, -2\/5, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -247584 + 4?\nAnswer: -247580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/7 and (-11)\/((-198)\/(-12))*(-84)\/(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668530535 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10081506437 + -8410.5\nAnswer: 10081498026.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 11*v**2 - 395*v - 2287. Calculate l(-6).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -81*p - 201. Give d(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 336*u - 1776*u + 4 + 0.\nAnswer: -1440*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/135 and -58\/609513?\nAnswer: 27428085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 10 = 5*u. Suppose -15 = -b + 3. Let i be 4\/6*b\/4. Solve -2*t = -i*g + 6, -g = -0*t + t - u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1322*h**2 + 33047*h - 188. Calculate k(-25).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-32)\/11)\/2*22880\/(-2080)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:56 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (0 - 3) + 2. Let t = a + 4. Suppose 2*d = -3*h + t*h - 20, 4*d = -h + 30. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kelekkkllkell. Give prob of sequence klle.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17441715.\nAnswer: 3, 5, 19, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3456788 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrttamrpaatpatatraap. What is prob of picking 1 p and 1 a?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4671\/(-15570))\/(9\/60*196)?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -30.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6253 divided by -13.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 9*u - 1 = 0. Are 2\/7 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 27*h + 16. Determine b(-29).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2655 and 528.\nAnswer: 467280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Suppose -1 = j + r, r + i = 2. Calculate the least common multiple of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 854 and 14038724.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhmh when four letters picked without replacement from mhfhmgfhfhhghghhhf.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4083? (a) -5 (b) 5 (c) 0.5 (d) -1\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + b + 1 - 2*b)*(-3*b**3 + 0*b**3 - 4*b**3).\nAnswer: 7*b**4 + 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 53.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 11 = 3, 0 = 5*q - 6*r - 24. Solve q = -0*k + 9*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -47. What is the greatest common factor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 2*w**2 + w - 3. Let b be d(-3). Suppose -6*m + b*m = -12. Suppose 3*k = 5*k - 30. Solve m*j = j - k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -3)\/(2 - (-24)\/(-9)). Suppose -2*f = 3*d - 662, 6*d - w*d + 3*f - 657 = 0. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -794 or -795?\nAnswer: -794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44140 + 44140 - 88278 - 252*s.\nAnswer: -252*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, r: 2, f: 2, k: 4}. What is prob of picking 1 m and 1 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*b = 192, -3*d + d = -5*b - 128. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.042 - -0.458. Let w(v) = 5*v. Let n be w(-1). Which is the nearest to -1\/4? (a) k (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201814 (base 9) to base 16.\nAnswer: 1d2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2)*-1)\/((-13)\/(-78)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = x - 8, 4*x = 5*f + 10. Suppose 4*d = 4, x = 5*g - d - 4*d + 5. Suppose g = 4*s - s - 87. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221427?\nAnswer: 3, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -20. Suppose -9*u + m + 9 = -6*u, 0 = u - 3*m - o. Solve 0 = f + u + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1005*v - 1010*v + 141055. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -4. Let x(d) = -d + 9. Let m be x(n). Is m less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 0.5, -29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/102 - (-208)\/(-1989) - (-11298)\/(-189)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 1768806*j**2 + 3*j - 2*j + 1768832*j**2.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((10\/15)\/2*-2). Let v be (-1)\/y + 6 + 60\/(-18). Solve 2*k - v*k = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 532 - 535.8. Which is greater: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141306 >= -989134\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491194 is divided by 11675?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64.00021 - 64. Round s to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8002484471 a multiple of 16345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 1, -2\/9, 2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {s: 1, x: 2, r: 1, c: 4, j: 1, e: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b = -43*b + 28*b - 31*b + 1199 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 321959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/(-55))\/((-1)\/5). Put 2, -7, g in increasing order.\nAnswer: -7, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11610270039 + 218737487604817\/18840. Let i = -8\/785 + c. Find the common denominator of -71\/30 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 498\/11, -2\/11, 216 in descending order.\nAnswer: 216, 498\/11, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o. Let m(y) = -27*y**2 - 10*y - 12. Let b(k) = -2*k**2 - k - 1. Let c(i) = 10*b(i) - m(i). Give p(c(h)).\nAnswer: 84*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 4*6213\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = 0. Suppose h = -4*l + l + 30. What is the remainder when 4\/(-14) + 594\/21 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 18. Let b(x) be the third derivative of -1\/840*x**8 - h*x**2 + 0*x**4 + 0 + 0*x**5 + 0*x + 0*x**3 + 0*x**6 - 1\/525*x**7. Solve b(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 + -2 - -4) + 5 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.105.\nAnswer: 0.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*3*-6*6)\/(sqrt(88)\/(sqrt(1100)*-3)).\nAnswer: 3240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6910*q**2 - 35*q + 6908*q**2 - 13*q - 15*q.\nAnswer: -2*q**2 - 63*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5 = i, -o + 5*i + 46 = 0. Let f(t) = t**2 - 5*t + 2. Let l be f(3). Let x be (l\/2 + 1)\/(-1). Solve -o = 4*k - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:30 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 2148?\nAnswer: 70884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4034044826 to 3 decimal places.\nAnswer: 0.403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 + 35*n**2 + 44*n + 131. Calculate b(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (15 + -14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**7\/2520 - k**6\/144 - k**5\/15 - k**4\/8 - 2*k**2. Let b(r) be the second derivative of t(r). Is b(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:11 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864831 rounded to the nearest ten thousand?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.131 + -0.092. What is x rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = q - 20, -4*o + 15 = -6*o - 5*q. Suppose 0 = -j - o*j + 30. Let s = 0.04 - 1.04. What is the nearest to s in j, -0.5, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 225, 654, 1297, 2094, 2985, 3910?\n\"Answer: -10*f**3 + 167*f**2 - 2*f + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-12)\/(-9))\/((-8)\/(-12))*194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768040 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 6. Suppose 0 = -u + 4*a + 11, 2*a = 4*u + u - 19. Let z = 32 - 35. Let t = u + z. Determine m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2077449*f**2 + 2322574 wrt f.\nAnswer: 4154898*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7226)\/46969*286\/16?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 290097.904 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 7a?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -18345.3565 to 0 decimal places.\nAnswer: -18345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + t**4 - t**3 - 9*t**4 + 2*t**2 to i*t + l*t**3 + c*t**4 + y*t**2 + o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by -18*-1*(-3)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*-1)\/(sqrt(12)\/(-3*sqrt(6) - sqrt(6))) - (((-2*sqrt(12))\/sqrt(2))\/sqrt(2) - -6*sqrt(36)\/(sqrt(12) + sqrt(48)\/sqrt(4))).\nAnswer: 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 + 3*d + 3. What is z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**2 - 12*f**2 + 21*f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70670?\nAnswer: 2, 5, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20b (base 13) to base 7\nAnswer: -1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*x**3 + 21*x**2 - 22*x**2 + x**2 + 78*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/48*3\/((-900)\/16). Let c(d) be the first derivative of -27 - 3\/10*d**4 + 6\/5*d**3 - w*d**5 + 0*d - d**2. Let c(h) = 0. What is h?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -8*i**3\/3 + i**2\/2 + 70*i - 4697. Calculate b(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 4 - 3\/2*i**2 + 5*i. Determine k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2, 3, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060791035 rounded to 4 decimal places?\nAnswer: -0.0608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 17*f**3 - 15*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15857127*n**2*p + 16*n**2 - 152755 wrt p.\nAnswer: 15857127*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 1, 0 in ascending order.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-7)\/(-70)*10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -2*d + 2*p, 4*d + 0*p - 288 = -2*p. What is the common denominator of 49\/6 and (-3)\/6 + d\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-90))\/((-2)\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/4 - 1\/20. Let v = 157 + 51. Let o = v + -1044\/5. Which is the third biggest value? (a) 1 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*x - 72 + 26 + 47 - 3*x + 0*x + 0*x - 1 + 1 + x + 3*x - x + 0*x + (1 + 2*x - 1)*(1 - 1 + 2) - x - 4 + 4.\nAnswer: -70*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 280 = 939*m - 996*m, 280 = 4*x - m for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 26*o - 30 = 0. Let b(h) = -4*h**2 + 4*h - 3. Let u(j) = j**2 + j. Let a(f) = -b(f) - 3*u(f). Is 11 a factor of a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0.61182.\nAnswer: -2.38818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 4*w + 13*w = 240 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12*n**5 + 286*n**4 + 1626*n**3 + 1576*n**2 - 6696*n - 10880 = 0.\nAnswer: -16, -5, -17\/6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4310 divided by 5.\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 4. Let z(j) = -49*j**2 - 63. Let g(f) = 63*b(f) - 4*z(f). Let s(y) be the third derivative of -y**5\/20 - 13*y**2. Give s(g(d)).\nAnswer: -147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwzr when four letters picked without replacement from zizqvwr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 13*k**2 - 8*k - 31. Let p be u(-9). Suppose 0 = 15*a - p - 574. What is the remainder when a is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*f**4*q - 274*f**3 + 2*f**2*q - 3*f*q - f + 3591*q + 1 wrt f.\nAnswer: -360*f**2*q - 1644*f + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.099 + -49.399. Let u = 53066439 - 53066487.300462. Let n = o - u. What is n rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (94746\/12)\/((-1)\/(-2)). Suppose -2*f + 5*d = 8*d - 21394, 2*d = -2*f + 21390. Let u = v - f. What is u rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + g**2 - 5 + 1 + 3*g. Let t be w(-5). Let u = t - -3. Solve -u = -2*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 7*g - 5. Let b = -133 - -131. Let v be (-4)\/(b - (-12)\/4). Let w be s(v). Solve -f + 2 = w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89471.\nAnswer: 17, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1088 divided by 2.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 197049, 197048, 197047?\n\"Answer: -b + 197050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128355.52329 - -128355. What is c rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 1. Let k be i(-3). Is 6 a factor of 1 + k + -1 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a decade in months?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -14*j**2 - 26*j. Let k(t) = 9*t + 2. Determine w(k(x)).\nAnswer: -1134*x**2 - 738*x - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 145.6 (b) -417 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -11. Let g = 2.298 - 4.298. Which is the biggest value? (a) 1\/9 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/572059 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 625227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/2*-1)\/(((-17661)\/(-1334))\/87)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -r - 1, 104*q = 100*q + r + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2628\/60 - (-2)\/10. Suppose 0 = -q*r + 41*r + 37500000. What is r rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1890261 divided by -13599\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 19. Let h(j) = j. Let b(l) = 6*h(l) - u(l). Let g be b(0). Let d = 37 - g. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*2\/9*-21\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -39. Calculate the remainder when r is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14304221733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 1. Let c = 3.39 - 0.99. Let m = k - c. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -28, -58, -100, -154?\n\"Answer: -6*d**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 214116 divided by -2\nAnswer: -107058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 5*r + 28. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -366 - 7553499851\nAnswer: -7553500217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3 - 14676*t**2 - 3841077*t + 3855750 = 0.\nAnswer: -250, 1, 5141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8213376?\nAnswer: 2, 3, 73, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 - 318. Let c = 54 + l. What is the third biggest value in 0, -0.08, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 9 = -12*j. What is the remainder when 56 is divided by 170\/10 - (1 + j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-263)\/4 + (-10 + 6)\/16. Let u = i - -83. What is the remainder when 82 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjjhzhj. Give prob of sequence hhhz.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 4131*b - 19*b**3 - 5*b**2 - 4*b**3 + 25*b**3.\nAnswer: 2*b**3 - 2*b**2 + 4131*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5785530064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 - 196*b**4 - 3264*b**3 - 19456*b**2 - 16384*b.\nAnswer: -4*b*(b + 1)*(b + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1\/2 (b) 524 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219908723 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1406*m + 1721*m - 3374*m = 21820*m - 264804 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 1\/3, -2, 5, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1239 + 2575\/2. Find the common denominator of 83\/116 and y.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 99*b**2 - b. Let p be k(-1). Suppose -4*z - p = -28. Let l be z\/(-4)*(-28)\/(-6). 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: Solve -5*q + 8*q = -x - 1, 4*x = 3*q + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 465432 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**8\/84 - 4*u**7\/21 - 7*u**5\/60 - 22*u**3\/3 + 290*u**2 + 2*u. Find the third derivative of j(z) wrt z.\nAnswer: -240*z**2 - 960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/3 smaller than 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 25168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 895890725 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.178784ng?\nAnswer: 0.000000004178784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 13, 0.17 in increasing order.\nAnswer: -0.3, 0.17, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/4 + 10*i. Let y(w) = -5*w**2. Determine y(z(n)).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 10:08 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 17. Let b(s) = s + 6. Let q(h) = 17*b(h) + 6*g(h). Let l be (-7 + 1)\/(9\/(-6)). Let j(c) = -l*c + 6*c - c. Calculate j(q(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 8*t - 1. Calculate o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -3 (c) -7\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 45538*g. Let m(c) = -13*c**2. Calculate m(d(b)).\nAnswer: -26958222772*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 - 2 = 0. Let m be ((-3)\/3)\/(q\/15). Suppose m = x - 2. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:26 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415023296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 16*c**2 + 16*c + 19. Let n be d(17). Let m = 4 - 3. Let h = m + -0.9. What is the third smallest value in h, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5808) + (sqrt(5808) + 0)**2*-4 + (-1 + sqrt(5808))**2*-2 + (sqrt(432)*-1*-4 + sqrt(432))\/(4*sqrt(9)*2))*-4.\nAnswer: -890*sqrt(3) + 139400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -0.19, -1\/2, 2\/7, -14 in descending order.\nAnswer: 2\/7, -0.19, -1\/2, -5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-128)\/(-448) - (3 - 1692\/644). Let q be (2\/4)\/(1\/4). Suppose 2*y + q = 4*h, -4*y + 1 = -3*h + 5. What is the nearest to 0 in 0.3, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 110, 221, 376, 581, 842, 1165?\n\"Answer: y**3 + 13*y**2 + 27*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -33, -31, -7, 45, 131?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000001111 (base 2) to base 6.\nAnswer: 33223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + -4 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-26 - (20 - 25)) + 7 + 18\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 93933 - -3.675693013\nAnswer: 93936.675693013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34132 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: Collect the terms in -86*n - 736*n - 33 + 33.\nAnswer: -822*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4806 - 4804. Let o(y) = -y**3 - 2*y**2 + y + 1. Give o(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + 17. Let y = x - 75. Which is the third smallest value? (a) 1\/11 (b) y (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 6*u**2 + 8*u**2 + 5 - 3*u**2 - 28*u**2. Let w be n(-2). Let z = w - -191. Does 36 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k. Let l be u(2). Let r = l + -13. Suppose -5*p - r = -5*d, d = 6*d - 3*p - 21. Solve -y + 2 = -d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4\/7, -3, -0.6 in increasing order.\nAnswer: -3, -0.6, 1\/3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 344143 + -341615.112. Let r = d - 2550. Let z = 22 + r. Round z to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-23898)\/4 + 3. Let w = 26530 - j. Suppose 4*z + w = -21422. Round z to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -67\/19 (b) 0.7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/3 + 2008*n\/3 + 2012\/3.\nAnswer: -4*(n - 503)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10991279 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30881, 30915, 30949, 30965, 30945?\nAnswer: 30871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -139. Suppose -50*a + 12 = -t*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 102*z - 34*z = 522 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*x + 379, 0*x - 490 = 4*v + 5*x. Let r = 342 - v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 8. Let x(r) = -1 - 4*r - r + n*r. Give x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1094, 4073, 8922, 15641?\nAnswer: 24230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 28*c - 49. Let k(o) = -41*o + 73. Let g(j) = -5*k(j) - 7*w(j). Let i be g(3). Solve -3*h = 12, -i*x - h - 35 = -11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 18. Let z(n) = -3*n + n - 2 + c*n. Let p(i) = -8 - 9*i + 9 + 1 + 2. What is 6*p(t) + 11*z(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -5 - (3 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -795, -794, -791, -786, -779, -770?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9164, -18338, -27514, -36692, -45872, -55054, -64238?\n\"Answer: -i**2 - 9171*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = x + 20, -3*x + 2*c = 2*x + 118. Let j = x - -25. Suppose -f + j + 4 = 0. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -25.6. What is the fourth smallest value in a, -0.2, 1\/8, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g + 5*n = 0, g - 3*n = 2. Suppose 5*x - 2*x = v + 245, 3*x = -v + 235. What is the greatest common factor of g and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1872 or -1?\nAnswer: -1872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61890481 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = -3*j. Let g = -4.8208 + -1.1792. What is the nearest to j in g, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 208*l**2 - 2*l - 213*l**2 + 406*l**2)*(4*l + 2*l - 4*l).\nAnswer: -30*l**3 - 4*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -1. What is the units digit of 2\/(c\/108)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2187 + 2191. Let l be 24\/(-63) - 2\/(-6). Let z = l + 65\/42. Sort z, x, 3.\nAnswer: z, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 - (8 - (5 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34491252 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 1 - o**4 + 2*o**2 + 1 + 4 + 6*o**4 to d*o**2 + b*o + j*o**4 + w*o**3 + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 50) + (-32 - 3)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -65 + 65 - 29*s + 22*s. Let k(p) be the third derivative of -p**5\/6 + p**2. Give l(k(j)).\nAnswer: 70*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = 7. Let z = 41 + -56. Let p = -4 - z. What is the remainder when p is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 14*i**2 + 18*i + 18. Give r(9).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7597 + -157436.\nAnswer: -157435.2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n**(-1))**49\/((n\/(n**(1\/10)\/n))\/n**2)**(2\/23) assuming n is positive.\nAnswer: n**(-16904\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1376\/7 + -197. Let t = 184 + -187. Which is the nearest to -1? (a) t (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11789.88626 + 11790. What is k rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 39 = -4*m. Which is the second biggest value? (a) -22 (b) -4 (c) 3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187*d**3 + 1683*d**2 - 11*d - 12252.\nAnswer: 1122*d + 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa0238 (base 15) in base 11?\nAnswer: -10002a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -246 (b) -8\/5 (c) 0.07 (d) -2\/5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279971 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.25 - -2.25. Let n be 3\/(-1) + 2 + 1. What is the biggest value in n, c, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from {a: 4, o: 6, m: 9}?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98645050 divided by 98350?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.2 + -10. Let i = 6.2 - u. Which is the second smallest value? (a) -5 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 0.061833.\nAnswer: -0.138167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32342430042 - 22?\nAnswer: 32342430020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.967 and 378.1.\nAnswer: 743.7227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007143695 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + sqrt(128)*-4 + sqrt(128)*-5 + 3)**2)*1.\nAnswer: 288*sqrt(2) + 10371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o - 171 + 53 + 14*o + 86 + 20*o. What is x(5)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -807683.2 to the nearest 1000.\nAnswer: -808000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 19. Let k = o + -12. Suppose -5*v - k + 23 = 0. Solve 0 + 1 = v*d + x, 2*x - 2 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3384755 and 13034.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -279 + 283. Let h = 17\/315 - -5\/63. Sort 3, h, k.\nAnswer: h, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 3*k + 2*k - 6*k.\nAnswer: -k + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19667 divided by 277.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/3 - 2980*r**4\/3 - 2223077*r**3\/3 - 4434242*r**2\/3.\nAnswer: -r**2*(r + 2)*(r + 1489)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/x**(1\/5))**(-3\/37) assuming x is positive.\nAnswer: x**(19\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/2212328?\nAnswer: 9\/2212328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:18 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -5*s + v, -s - 2*v = 34 - 105. Let f = 377 + -417. List the prime factors of s\/f*-2*28.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - (50 - 45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1292*x + 1286*x - 120 = 0. Let w be 2252500010\/(-25) + (-4 - 88\/x). What is w rounded to the nearest 1000000?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8 - 10*a + 3 + 5*a + 61*a**2. Let f(h) = 1067*h**2 - 88*h - 88. Let q(w) = -88*b(w) + 5*f(w). Let m(t) = -2*t**2. Give m(q(o)).\nAnswer: -2178*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -f - 440, 53 = y + 49. Let w = f - -464. Solve -z = -4*j - 4, 0 = -2*z - 3*j - w + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4 + 19. Solve -y + 8 = -2*q + 5*q, -4*q = -d*y + 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4\/2 - 275*c**3\/4 - 2565*c**2\/4 - 8505*c\/4 - 3645\/4 = 0. What is c?\nAnswer: -9, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 + -294. Let s = -91 - b. Find the third derivative of 7*h**5 + 4*h**2 - s*h**2 + h**2 wrt h.\nAnswer: 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 32. What is d(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y = -54*y + 1226 + 2615 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336834856 a multiple of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21300*q = -19899*q + 26619 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 11 + 51*c**2 + c**3 - 11 - 3 - 29*c**2. Does 9 divide s(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 304. Calculate the greatest common divisor of 36 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -451, -9, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26848?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733*q + 524*q - 2634*q + 447*q + 622*q.\nAnswer: -308*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -374 - 274. Let y be 1\/1*1*-43. Let a = y - f. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 51, -12.4 in descending order.\nAnswer: 51, -4, -12.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*j + 439, 2*f - 4*j + 55 = -159. Let g = -323\/3 - f. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005008 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713688 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 8*f**2 + f**2 - f**2 + 4 - 4 - f**2 - 1 + 1 + 69*f + 28*f**2 - 69*f + (-4*f**2 + 5*f**2 - 3*f**2)*(-1 - 2 + 1).\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25523 + 21927. Round q to the nearest ten.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - o**2 - 8*o - 5. Does 52 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58712189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.9 - -0.1. Let n = -2.2 + -0.8. Let b = n + 2.9. Sort 4, p, b in descending order.\nAnswer: p, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 59.7 (c) 5 (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**3 - r**2 - 1. Let f be y(2). Suppose -5*c + m + f = 4*m, 2*c + 5*m = 21. Let j = 4 - c. Let v(w) = -w**3 - 4*w**2 + w + 2. Give v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2. Suppose 5*k + 2 = 7. Let g(f) = 3*f + 1 - f - k. Give z(g(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3994 - 3992. Solve -2 = 3*b - s*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23878 - 23804. Solve 0 = -14*w + z - 130 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -146545?\nAnswer: -146548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 412\/(-9) - 152\/(-228) - 2\/(-18).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 0*h**3 + 5*h**3 - 2*h + 5*h.\nAnswer: 5*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29574*g**3*t**3 - 190*g**3 - 47*g**2*t**3 + 5623*g**2*t - 3*g + 2*t**3 + 12 wrt g?\nAnswer: 177444*t**3 - 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let c(q) be the first derivative of 0*q + 2\/5*q**5 + 0*q**4 - 2\/3*q**3 + a + 0*q**2. What is the third derivative of c(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - 24565?\nAnswer: -24613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 64, 104, 130, 136, 116?\n\"Answer: -x**3 - x**2 + 50*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebhxbrbbbbberbq. Give prob of picking 1 x, 1 q, and 1 e.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 0 + 42 + -9 - -16\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -36225?\nAnswer: -181125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 13 + 3. Suppose -3*h - 2 = l, -5*l = -4*h - 7 - 2. Let w be (3\/(-9))\/((-1)\/(-3)). Sort w, m, l in ascending order.\nAnswer: m, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000676536523 rounded to seven decimal places?\nAnswer: -0.0000677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + g + 0*g + 0*g + g - g - g + 0*g + (-1 + 2 + 1)*(0 + 0 - 2*g) + 2*g + 0*g - 3*g - g + 0 + 0 - 1 + g + 1 - 27*g - 3 + 6 + 26*g.\nAnswer: -6*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2130*v + 2127*v + 8, 0 = o + 2*v + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 6*n - 6. Let d be i(6). Let l be (280\/d)\/((-1)\/(-3)). Let o be (-8)\/l + 189\/15. Solve v = 5*r - o, -3*r + 8 = -2*v - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 871080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 - 166. Which is the second smallest value? (a) j (b) -5 (c) 2\/5 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*r - 2. Let v = 8 + r. Suppose -68*l + 27*l + 1476 = 0. Calculate the highest common divisor of l and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1003534, -2006900, -3010266?\n\"Answer: -1003366*p - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 50 (c) 35 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -3. Suppose 67*r + 120 = 72*r. What is the lowest common multiple of x and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/165 and -10\/51.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 0, 7 in descending order.\nAnswer: 7, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.1. Which is the closest to 2? (a) -0.4 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -1. Suppose 2*h + z = m, 5*m - m - 2*h - 52 = 0. Calculate the remainder when m is divided by 2 - (8*-1 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.796 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1101010101101?\nAnswer: 1101010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53941332 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3500, -6999, -10484, -13949, -17388, -20795?\nAnswer: -24164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -6, -22*a - 26*a + 51*a + f = -23 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 114779707965373.\nAnswer: 114779707965373.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 8*i + 10*i + 20, -i = -z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 619.0855 litres?\nAnswer: 619085.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7616143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (789\/8679)\/(10\/44). Let t*g + 2\/5*g**2 - 4\/5 = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2629731 is divided by 525946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25042, 24054, 23066, 22078, 21090?\nAnswer: 20102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:16 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1989614 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:31 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562657*u - 4 - u**2 + 3*u**2 + 10 - 4*u**2.\nAnswer: -2*u**2 - 562657*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16913837200 rounded to the nearest one million?\nAnswer: -16914000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25909.\nAnswer: 13, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 323\/4?\nAnswer: 323\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 829 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -113*z**4\/4 - 2*z**3\/3 + z**2\/2 + 2*z + 2. Let u be 10\/(-115) + 126\/(-138). Is f(u) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(-3 - 1 + 2) - 160 + 289 - 150)*(-h**4 + 3*h**4 - 3*h**4).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.31 - 4.69. What is the closest to -2\/5 in 3, 2\/3, y, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, -77, 5 in decreasing order.\nAnswer: 5, -3, -15, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -34, -804, -15 in descending order.\nAnswer: -15, -31, -34, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 46, -1\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1042 + -0.0058. Let k = -0.11 - -0.1. Which is the fourth biggest value? (a) 0 (b) 2\/3 (c) m (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 393\/273 + 2\/(-13)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4451 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 b(n) = 8*n + 8. Determine b(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -2, 43.\nAnswer: -8, -4, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-6)\/(-3)*-1. Let v(z) be the third derivative of 19*z**4\/24 - z**3\/6 + 38*z**2. Is 14 a factor of v(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3 + 0*g**2 + 1\/3*g**3 + g. Let h(x) = x**3 - 2*x**2 - 2. Give -2*f(y) - h(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -677139\/430 - -12747\/43. Let r = i - -1272. Find the common denominator of -65\/14 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15235 and 50?\nAnswer: 152350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1 - 3 + 3. Let j be ((-1)\/2)\/((-2)\/8). Let a(x) = 0*x - j*x - 6 + 3*x. Calculate 2*a(u) - 11*t(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itsl when four letters picked without replacement from ilitvis.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/23)\/d)\/d*d\/((d\/(d*d\/(d*d**5*d)))\/d)*(d*d*d**(-2\/7)\/d)**(5\/4) assuming d is positive.\nAnswer: d**(-3317\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8. Let o(j) = j - 7. Let u(g) = 5*o(g) - 4*v(g). Let a be u(-6). Let c = a + 60. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 48 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/12*846\/(-282)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950 minus 75979?\nAnswer: -73029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 - 276 + 109)*(2 + 0 - 1)*(-m - 11 + 11).\nAnswer: 297*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3339 - 1.6661. Suppose 0 = -5*v + 40 + 10. Let r be (4\/v)\/(16\/15). Sort o, 1\/8, r in increasing order.\nAnswer: o, 1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-7 + 2 - 246). Let t = z - -288. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0 + 0)*(203 + 1011 - 156).\nAnswer: 5290*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -140492.01 rounded to the nearest 1000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3930 + 13351. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -588 in descending order.\nAnswer: 4, 2, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**2 - 44*t**3 + 35 + 40 - 80.\nAnswer: -44*t**3 + 25*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 216604603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k - 16*k + 22*k in the form b*k + s and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 331*c**5\/20 + c**3\/6 - 331*c**2\/2 + 2809*c. Find the second derivative of j(w) wrt w.\nAnswer: 1986*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = 4*v - 7*c - 30, 2*v = -4*c + 30. Solve -15 = -3*m - 2*x, -v*m + 2*x = 7*x - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/66*((-6)\/24)\/(18\/((-162)\/(-9)))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, m: 12}. What is prob of picking 4 l?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1900))*-3 + -4*(-2 + sqrt(1900)))**2.\nAnswer: -1960*sqrt(19) + 93296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*f = -657*f + 5*w - 82, -33 = -3*f - 3*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 16*z + 16. Let r be n(-17). Let m = -1176 + 4701\/4. Which is the closest to 3? (a) r (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44532*g + 44564*g - 89106*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6 - 4. Suppose -342 + 332 = a*l. What is the nearest to -1\/3 in l, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.72 times 10\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 91*m**2 - 11*m - 12. Let h be o(4). Suppose -5*x = -x + 5*s - h, -2*s + 1400 = 4*x. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31125938 smaller than -31125938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28804045 or 28804046?\nAnswer: 28804045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8644.133 millilitres to litres.\nAnswer: 8.644133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2400752 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125755332 from -278392.\nAnswer: 125476940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13 and -93\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 350*y**2 - 26*y + 38984 wrt y?\nAnswer: 700*y - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 836 + 3691. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**3\/3 - 7. Let q(w) = 2*w. Determine q(n(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - -13983.\nAnswer: 13997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3938725*a - 17750. Let z(w) = 1775*w - 8. Calculate -4*d(r) + 8875*z(r).\nAnswer: -1775*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 smaller than -84450.7225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19661 - 11660. List the prime factors of y.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:47 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from nnnrhpd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 + 60*b + 140. Determine s(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -0.1200745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 981, 3\/5 in decreasing order.\nAnswer: 981, 3\/5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-74))\/((-50)\/(-15)). Suppose -154*p = -150*p. Is r at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) - ((sqrt(208) + 1 + sqrt(208))**2 + sqrt(208)).\nAnswer: -833 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - m - 4 = 4, 5*g + 5*m = 35. Let r = 124 - 124. Suppose -4*p + 104 = g*d + 21, -5*p - 3*d + 120 = r. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/105 and -27\/120980?\nAnswer: 2540580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(4\/1))\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 4275 = -3782 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from pwwcwwoa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let t(g) be the first derivative of -g**5\/20 + g**4\/12 - g**3\/6 - 2*g - 1. Let n(v) be the first derivative of t(v). Determine n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*m - 101*m - 87*m + 11 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69\/5 + -202\/15. What is the smallest value in t, 0, -2\/25, 2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 3, -2, 1, 582, -4 in decreasing order.\nAnswer: 582, 35, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8196737 litres to millilitres.\nAnswer: 819.6737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(-45)\/((w**5*w)\/w**(-1\/12))*((w**0)**(3\/8))**(1\/14) assuming w is positive.\nAnswer: w**(-289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1689, -1822, -2035, -2322, -2677?\nAnswer: -3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 0*y**2 + 0*y**2 + (-10*y - 6*y + 4*y)*(-10*y**2 - 23*y + 23*y + (2 + 2 - 3)*(0*y**2 + 0*y**2 + y**2)) as d*y**2 + k + o*y + h*y**3 and give h.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3625, -3, -4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 398*l + 2. Let u = 12 - 11. Let f be h(u). Round f to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2838 = 27*h. Suppose -914 - 334 = -3*w. Let p = h + w. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 0 + 19 = -27. What is the remainder when 9 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -10. Suppose -5*l + c*l + 24635 = -z, 3*l - 14781 = z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -3\/4*w**2 + 3\/16*w**4 - 11\/12*w**3 + 2*w + 100. Factor a(r).\nAnswer: (r - 4)*(r + 1)*(3*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86496229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -5\/2, 0.6 in descending order.\nAnswer: 0.6, -5\/2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 4*f**2 + 3. Let b be t(4). Let r be 2*(b - (0 + 2)). Let -69 + 69 - r*c**2 + 4*c**3 - c**3 - c**4 = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 13910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71\/165 + 1\/33. Let n = -4.9 - 1.1. Let q = n + 8. What is the biggest value in t, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137524 = 6087*w + 14960*w - 637495 - 110392 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -297, -5, -0.03, 2\/11, 44?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/(63375\/546))\/(22\/(-715))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*((-6)\/(-9))\/((-24)\/100179) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 227 in 1, -11, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 284 = -2*v. Calculate the highest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:35 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*r = -110, 83*p = 85*p + r - 44 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -263, -533, -805, -1079, -1355, -1633?\n\"Answer: -a**2 - 267*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytataayyaayta. What is prob of picking 2 y?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 4*i**2 + 2*i + 5. Let c be w(3). Suppose 0 = s + 3*s + c*s. Let q be 3\/60*(1 - 6\/(-2)). Sort q, s, -2\/19, -1\/6.\nAnswer: -1\/6, -2\/19, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-6) + 1)*0. Let w be (-1 - o) + (-110)\/(-85). Let j = -59\/85 + w. What is the second smallest value in 4, -2\/11, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100*p - 151*p - 4 + 5 + 0 + 0 + 2*p + (-2 + 1 + 3)*(4*p - 3*p + 4*p) + (-1 - 1 - 2)*(2*p - 5*p + 2*p).\nAnswer: -35*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64740221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10404 divided by 2601?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from pppppppwppppppp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/50)\/((-8)\/20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m + 2*m + 1)*(5*m**2 + 30*m**2 + 31*m**2).\nAnswer: 132*m**3 + 66*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -992.3872 - -1021.387145. Let b = 0.111 - -28.889. Let w = i - b. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*r**2 + 3*r**2 - r + 25*r**2 + 11*r**2 - r to j*r**2 + k*r + o and give j.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 7 = -v - 3, -2*v + 6*k + 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 144088 take away 17709?\nAnswer: 126379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 72. Let k(x) = -732001*x + 1. What is k(t(d))?\nAnswer: 732001*d - 52704071","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**2 - 165*a + 1360 = 0.\nAnswer: 16, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d + 1088 - 3860. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = 3. Let r = -293 - -289. Which is the nearest to 1\/4? (a) u (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-51))\/((-138)\/(-414))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/12 + f**3\/2 + 7*f**2\/2 + 3*f - 37. What is i(8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9700 is divided by 1373?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.243926km in meters?\nAnswer: 5243.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032586 rounded to 6 decimal places?\nAnswer: -0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111020220 - 1?\nAnswer: -111020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62605\/3 - (-12)\/18. Suppose z - 1464 = 2*i - k, i = k + 9705. What is i rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1217029 equal to -1217029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69\/136 - -1\/136. What is the fourth smallest value in 2, -2\/5, t, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/7303387 and -123\/728.\nAnswer: 58427096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 6 - 2)*(-18 + 46*b + 30 - 14) + 3*b - 4*b + 2*b - 2*b + 2*b - b + (b + 0 + 0)*(3 + 1 - 6) + 2 + b - 2)*(b + 3*b - 2*b).\nAnswer: 366*b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 31*d**3 - 33*d**2 - 31*d + 32.\nAnswer: (d - 1)**2*(d + 1)*(d + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -440, -727, -1080, -1511, -2032, -2655?\nAnswer: -3392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6448 and 50716744?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 5:52 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 501419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12031702 is divided by 2464.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 482068 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6154)\/905*(-10 - -5)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23841253 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12277 is divided by 2455.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 + 160*d**4 - 1500*d**3 + 3920*d**2 - 3200*d = 0.\nAnswer: -40, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918, 3712, 8378, 14916?\nAnswer: 23326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(-83*y**2 - 240 + 43*y**2 + 41*y**2) as m*y**2 + q + r*y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6547506 and 0.2?\nAnswer: 0.4547506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-21) - 10\/(-15). Put -4, r, 0.09 in descending order.\nAnswer: 0.09, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3394*c - 3. Let g be u(-2). Let v(i) = 23*i + 74. Let w be v(-3). Suppose -w*j = -10*j + g. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let t(u) = 3*u - 9093. Calculate f(t(j)).\nAnswer: -6*j + 18186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.2 + 31. Let t = p - -0.2. Let z = 0.07 + 3.93. Which is the second biggest value? (a) t (b) z (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 + 225. What is the greatest common factor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/27)\/f**(-1\/3) assuming f is positive.\nAnswer: f**(11\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + 3 + sqrt(162) - (-2 + sqrt(162) + -2)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 7*r - 2.\nAnswer: (r - 2)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 p when three letters picked without replacement from {p: 2, h: 1, w: 4, x: 2, c: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62275.4 centuries in decades?\nAnswer: 622754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = b + 2*u - 2, -b - 2*u = -5. Let d(l) = l + 3. Let g be d(4). Let r(o) = o**3 - 6*o**2 - 5*o - 10. Let t be r(g). Sort -5, b, t in increasing order.\nAnswer: -5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 575?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1853*t + 35016.\nAnswer: 1853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46243.26597 rounded to the nearest 100?\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*s - 732 = 0, -2*y + s = -5*y + 530. Calculate the least common multiple of y and 2.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**3 + 4*a**2 - 4*a - 4. Let j = -107 - -80. Let f(h) = -48*h**3 - 27*h**2 + 27*h + 27. Determine j*q(w) - 4*f(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 58 - 12 = 0. Let w(o) = -o + 2. Calculate w(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(108)\/sqrt(6)*2)\/(sqrt(300)\/sqrt(2) + sqrt(6)).\nAnswer: -2 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.68488877 rounded to one decimal place?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4673*t + 25682. Determine w(5).\nAnswer: 2317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 85, 130, 189, 268, 373, 510?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g + 10. Suppose 25*n + 95 = -153*n + 159*n. Let p = -14\/3 - -16\/3. Which is the smallest value? (a) p (b) n (c) g (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 15 = -3*t. Let o be 17 - (0 + 2 - 0). What is the highest common divisor of t and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 0*q**3 + 1\/8*q**2 - 12 - 1\/40*q**5 - 1\/16*q**4 + 1\/8*q. Determine d, given that k(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -1, 46, 135, 278, 487, 774, 1151?\n\"Answer: 2*d**3 + 3*d**2 - 6*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5013*w**4 - w**3 + 3*w**2 + 626?\nAnswer: 120312*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200876.\nAnswer: 2, 13, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000973 rounded to seven dps?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1496 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -226060, -226024, -225948, -225814, -225604?\n\"Answer: 3*y**3 + 2*y**2 + 9*y - 226074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u - 118. Let m be k(-19). Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 654.425181 to one decimal place.\nAnswer: 654.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 - t**4 - 36*t**3 - 138*t**2 + 6*t wrt t?\nAnswer: 120*t**2 - 24*t - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 + -3.8. Let k = v + 3.3. What is the smallest value in -3, k, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42670 and 14056?\nAnswer: 1194760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 2 = -29 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + ((sqrt(448) + -1 + 1 - sqrt(448))*1 - ((sqrt(448) - 4*sqrt(448)*-1) + 6*(sqrt(448) - -1*sqrt(448)))) + -4)**2.\nAnswer: 816*sqrt(7) + 129481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:06 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/14)\/(2\/20). Let p = -6 + b. Is p\/(-2) + (-27)\/(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Let c = 27 + q. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -15\/8*c**4 + 0*c + 14\/15*c**5 - 1\/3*c**2 - 14\/9*c**3 + 4 + 49\/36*c**6. Find h, given that t(h) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102331\/4 + 25735. Let k = 151 - l. Put k, 4, -1\/5 in descending order.\nAnswer: 4, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/60 - 3*h**4\/8 - 3*h**3\/2 - 2*h**2. What is the tens digit of n(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110101000100 (base 2) in base 4?\nAnswer: -3311010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307451979?\nAnswer: 3, 101, 338231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 614, 1816, 3018, 4220, 5422?\nAnswer: 6624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65811 divided by 3.\nAnswer: -21937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -4) + -45 - 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257\/4 - 65. Let p = -0.58 + 0.38. Which is the closest to -1? (a) i (b) -1\/10 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -31, 16, 4, 0 in descending order.\nAnswer: 16, 5, 4, 0, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ssississsssiiissss.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 3, 0.1, -371 in descending order.\nAnswer: 3, 0.1, -42, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272860493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119078 is divided by 117.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -825448*m**5 - 20928331*m**2 wrt m.\nAnswer: -49526880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + 0.1. Let d = 0.9 - 1. Let v = 0.6 + -0.9. What is the closest to d in v, 0.4, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2076 - -2081. Sort -11, w, -3 in increasing order.\nAnswer: -11, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149*b**5 + 33 + 10 - 41 + 2*b**2 + (14*b**2 + 20*b**2 - 13*b**2)*(0 + b**3 + 0).\nAnswer: 170*b**5 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -130 - 8\/(-6)*18\/12. Let l be (r\/12)\/(-8) + 33\/9. Suppose 0 = -3*k + l*z + 89, -3*z + 7*z - 172 = -4*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 6:17 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*o - 315. Let f = 61 + o. Suppose -2*q - q + 2*z - 6 = 0, -4*q - 2*z = 8. What is the nearest to f in q, 4\/5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*a + a**2 + 119*a - 3*a**2 to the form y*a + k + z*a**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 5. Let d be u(4). Let i be (24\/20)\/((-99)\/(-30) + d). Suppose -2*c - 30 = -i*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1272\/32436 - -154*4\/(-5304)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(0 + -37) - (0 + 1). Let m = 42 + o. Differentiate -20*x**2 - m - 2*x**2 - 7 + 3 wrt x.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.44 to zero decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -14*k. Let x(y) = 111*y. Let o(s) = -33*r(s) - 4*x(s). Let l(i) = -i**2. Give o(l(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25146 divided by -6?\nAnswer: 4191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2534 divide 29173571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872 divided by -468?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/1118*4836\/1488)\/(7\/(14\/(-3)))?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -287210\/9 + 31669. Let x = a - -243. Let w = -3.93 - 0.07. What is the closest to -1\/5 in w, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 2726700300?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*n**2 + 50710*n + 48704668 wrt n.\nAnswer: -38*n + 50710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t**3 + 64*t**3 - 108*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 181)\/(-13) + (-1 - -2 - -3). Solve -24 = -17*s + i*s - 5*o, 4*o = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4)**42\/((((w\/(w*w**(-1\/11)\/w*w))\/w)\/(w**(-2\/13)\/w))\/(w*w*w\/w**(-3)*w*w*w**(2\/9))) assuming w is positive.\nAnswer: w**(226483\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -1311120 (base 4) in base 2?\nAnswer: -1110101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37072 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-10)*(-56)\/(-98)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 106\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5154*s**3*u + s**3 - 40*s - 54 wrt u.\nAnswer: -5154*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6*(-15)\/(-2). Let f be (385\/(-21) - 7)*(-1 - 26\/4). What is the highest common divisor of f and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14163140 (base 7) to base 9.\nAnswer: 2441502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 6\/8*8*6\/(-4). Solve -15*b + 13*b - 5*z = v, -4*z = 2*b + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**6\/5 + 7*d**2\/2 - 6*d. Differentiate n(t) with respect to t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1\/6 (c) 0.5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 379, 331, 285, 241, 199, 159?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(3) + 1)**2 - sqrt(3))*1 - ((sqrt(864) - (3*sqrt(864) - sqrt(864))) + sqrt(24))\/sqrt(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402\/9749 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (16 - (-9 + 18 + 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -3*m. Let k(a) = a**3 - 5*a**2 - 2*a + 10. Let y be k(5). Solve -m*n - 3 + 19 = y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**8)\/z)\/z*z\/(z*z**(1\/4)*z*z)*z*(z**8*z*z)\/(z*z\/z**3*z*z)*z**8*z*(z**(-1\/5)\/z)\/z*(z\/(z*z**(-2\/15)))\/(z\/z**(-3\/7)) assuming z is positive.\nAnswer: z**(1787\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0180550429 rounded to six dps?\nAnswer: 0.018055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:17 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/18*47\/(-1222)*4?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + 1 + sqrt(242)*2)*-3)**2.\nAnswer: 660*sqrt(2) + 8737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrvrvvvmrr. What is prob of picking 1 r and 1 v?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -18\/1879 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 943 = -799 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 2*l + c, 5*l - c = c + 211. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiiixixixiixi. Give prob of picking 2 i.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoffbfffffffbf. Give prob of sequence bboo.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2685 - 2724.8. What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*k - 65 + 3 - 44 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-15))\/((448\/(-408))\/(-14)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 - 5 - 7*w - 6 - 37 wrt w?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55689, 55636, 55573, 55494, 55393, 55264, 55101?\n\"Answer: -x**3 + x**2 - 49*x + 55738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 242\/((-39)\/15 - -1). Let d = 1414 - 1263. Let x = j + d. Put -3\/5, 4, x in decreasing order.\nAnswer: 4, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 30*m = -12*m + 442 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244426?\nAnswer: 2, 7, 13, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(363) + 0)*-4 + 5)**2.\nAnswer: 528*sqrt(3) + 52276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waododaiwdooowoodi. Give prob of sequence owd.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1132*j*m**3 + 2*j*m**2 + j*m - 2*j + m**2 - 47115 wrt m?\nAnswer: -3396*j*m**2 + 4*j*m + j + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -23. Suppose -3*k - 5*h = -4 - 6, 0 = 5*k + h - 24. Suppose 3*n - i = 0, 5*r + n = k*n + 189. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51, -234, -533, -948?\n\"Answer: -58*g**2 - 9*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a micrometer in nanometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4727 + -2688. List the prime factors of p.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1948 by 1.\nAnswer: -1948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3799 - 3849 = 10*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*194\/20 - 2\/(-10). Differentiate -33 - 47 - 88 + 32 - 17*p - s wrt p.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 96629*w**2 + 193139*w**2 - 96610*w**2 + 3*w.\nAnswer: -100*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35778.\nAnswer: 2, 3, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 6, 22, 56, 114, 202, 326?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -176*t - t - t + 534. Suppose 5*v - 16 = 3*v. Solve c + t*c + v = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2)\/(-2 - 5 - -6). Suppose -t + 62 + 43 = p. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17700 (base 11) to base 3.\nAnswer: -1021000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -10. Suppose -w + 68 + 73 = -5*p, l = -2*w - 8. Let d = p - -58. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 9:06 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10ab32a (base 13) to base 10.\nAnswer: 5137129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -8599*h**4\/12 - 787*h**3\/3 + h**2 - 202*h - 14. Find the second derivative of v(i) wrt i.\nAnswer: -17198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 1\/3, 10.1 in decreasing order.\nAnswer: 10.1, 4\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54088 + 43?\nAnswer: 540cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6828 or -6816?\nAnswer: -6828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 3, 4, 0, -1047, 51\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(77) - (sqrt(77)*-2 - sqrt(77)))*-6)\/((sqrt(343) + sqrt(343)*1 - sqrt(7))*-3))**2.\nAnswer: 704\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -17, -24, -33, -44?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + -9 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5972 a factor of 1006323804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 1. Let f be (-15)\/20 + (-9)\/4. Let n(t) = -5*t**2 + t - 3. Let s(q) = f*l(q) - n(q). Give s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9815 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -151120, -302244, -453368?\n\"Answer: -151124*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539340.\nAnswer: 2, 5, 11, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 2422*o - 4852.\nAnswer: 2*(o - 1213)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678674128.\nAnswer: 2, 11, 37, 89, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**23)**(2\/73) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 2*g**2 + 2*g - 1. Determine f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147 * -5.81.\nAnswer: -854.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 - (-63)\/12. Suppose 4*v + 4*d - 26 - 10 = 0, v - z = -3*d. What is the remainder when 173 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q - 17*q + 40*q + 3386*q**3 - 12*q.\nAnswer: 3386*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647401 = 6795*k + 127229 for k.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m + 7 - 4*m + 0*m - 1. Let a be j(1). Which is greater: a or -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62532, -67292, -72052, -76812?\n\"Answer: -4760*u - 57772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3\/3 + 3*f**2\/2 + 13*f - 30. Let d be g(4). What is the first derivative of -2 - d*z + 7 + 7 - 1 wrt z?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 3, p: 3}. What is prob of sequence paae?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2636 rounded to 1 decimal place?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-19))\/w*w**(-32)*w*w**22\/(w**31\/w) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 469876 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 9 - 26) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*i**2 - 11*i**2 - 9*i**2 + 10*i**2 + 9*i wrt i?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/4 + -1)\/(-1). Let m(z) be the first derivative of 2\/5*z**5 + 0*z**2 + 2 + 0*z**3 - u*z + 0*z**4. Differentiate m(a) wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49913 minus -0.352192?\nAnswer: -49912.647808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 9*r**2 + r**2 + (5*r + 0*r - 3*r)*(r - 3*r - r))*(-5*r - r + 0*r)*(0 + 1 + 0) + (3*r**3 + r**3 - 5*r**3)*(1 + 4 - 4) - 1 + 1 - 2*r**3.\nAnswer: 51*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(2\/(-23))*(-2 - -514)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjk. Give prob of sequence ck.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o = -24. Let s(c) = 3*c**3 - 5*c**2 + 19*c - 12. Let u(w) = 5*w**3 - 7*w**2 + 29*w - 18. Let n(g) = -8*s(g) + 5*u(g). Is n(o) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -1 + 7 + -14 + 2 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - sqrt(425)*1)**2*-6 + sqrt(425).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-882))\/(-1*1\/(-3)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510476 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(684) + -5)**2 + 1 + ((sqrt(627)*3)\/sqrt(11))\/(-3*(sqrt(3) + sqrt(48))).\nAnswer: -3544 + 1499*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.14 (b) 2\/1617 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12825)\/(-300))\/((-1026)\/152)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 4*r - 2. Let y(d) = 3*d**2 - 9*d - 4. Let n(t) = -9*m(t) + 4*y(t). Let h(u) = 7*u**2 - 2. Determine -5*h(s) - 6*n(s).\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - (sqrt(5)*-4 - sqrt(5))**2) + 1*sqrt(5)*1.\nAnswer: -120 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 38. Let y be (3\/6)\/(6\/1524). Let n = y + w. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqc when three letters picked without replacement from cchhczzqccczh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2, -0.149239, 2.9, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*t**3 - 669*t**2 + 3*t - 2253320 wrt t.\nAnswer: 225*t**2 - 1338*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*z - 390 + 26 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l + 12. Let z = -11 + 7. Which is the second smallest value? (a) 0 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-9) + -2)*7. Let k = -2 + z. Which is the second smallest value? (a) 0 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s + 14. Let h(q) = q**3 + 8*q**2 + 10*q + 13. Let d be h(-7). Does s = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/27768 and -9\/332.\nAnswer: 2304744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 2 (c) -7544 (d) -1\/4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 48.004. Let d = t - 0.00816. Round d to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(1037 + 932 - 1498)*(-3*f - 3*f + 3*f) to h + y*f and give y.\nAnswer: 2826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2082)\/1735)\/((-6)\/(-5)*4\/(-276)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**6\/6 - 323*s**5\/5 - s**4\/4 + 13*s**3\/3 - s**2 - 2*s + 1873. What is the third derivative of k(j) wrt j?\nAnswer: -60*j**2 - 7752*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 35. Let x(i) be the first derivative of i**3\/3 - 4*i**2 + 7*i + 20. Let m be x(b). Solve m = 4*c - 21 + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/5*15\/6. Suppose -l*x + 3 = 15. Which is smaller: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369232817 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -21289\/307?\nAnswer: -21289\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9357, 9356, 9355, 9354, 9353, 9352?\nAnswer: 9351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/(-28))\/(2\/28). What is the tens digit of 5*1065\/a - 3\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose 3*v = -s*v. Suppose v = 2*a + 2*a - 64. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + (sqrt(76) + 1*sqrt(76))**2 + 3 - (2*(sqrt(76) + 2) + sqrt(76))) + 2.\nAnswer: -2*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 96*w**3 - 220*w**2 - 312*w.\nAnswer: 4*w*(w - 3)*(w + 1)*(w + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722*i + 1764 = -718*i. Let l = i + 254. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-16 + 33) - 12\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.85585 seconds to nanoseconds.\nAnswer: 30855850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 10 - ((-5 - (-14 + 30)) + -9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 7 + 6)*(3 + h**2 - 3) - 2*h**2 + 4*h**2 + 2*h**2 + (5*h - 3*h - 3*h)*(1 - 1 - 3*h) as w*h + f + t*h**2 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5178 (base 11) in base 10?\nAnswer: -6861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1. Let p(w) = -w + 7. Let s(z) = 28*j(z) + 4*p(z). Let f(x) = 6*x. Calculate s(f(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 25. Let z be -1*1 + (-5)\/(-3). Let m = 2 - 1.9. Sort z, v, m.\nAnswer: v, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -623*h - 669. Let j(v) = -221*v - 223. Let x(k) = 17*j(k) - 6*o(k). Give x(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2847?\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27219756.\nAnswer: 2, 3, 439, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -12, -10?\n\"Answer: 2*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21926618 and 1372.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -28. Suppose -3*v - 299 + g = 0. Let z = v - -175. Calculate the remainder when z is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - g**2 + 2*g - 6. Let u be x(2). Suppose 0*w - 4*w + u*t = -140, -5*w - 3*t + 164 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203998597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**2 - 281*j**2 - 14488 + 14257 wrt j.\nAnswer: -572*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 - 65*u**3\/2 + 1125*u**2\/2 - 5875*u\/2 + 5000.\nAnswer: -(u - 5)**3*(u + 80)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579 - -3481 - (-128 + 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437123994 to the nearest integer?\nAnswer: 20908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - j - 12 = 0, -5*t - 4*j + 32 = -j. Let u(x) = 12*x**3 - 5 + 1 - x**2 + t. Is u(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3 + (-7 + -1 - (-130)\/13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 20 = 4*p - 5*p, -5*p + 5*q + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1. Let o(s) = 27*s**2 + 27. Let w(b) = -o(b) + 3*r(b). Find the first derivative of w(v) wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2850213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -487 - -194. Let p = -293 - s. What is the second smallest value in -0.3, 2\/13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112 (base 3) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2. Let c(r) = 3*r - 1. Calculate d(c(m)).\nAnswer: -18*m**2 + 12*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11130 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:37 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5\/7 - 5648*q**4\/7 + 68452*q**3\/7 + 141776*q**2\/7 - 888576*q\/7 = 0. Calculate q.\nAnswer: -1424, -4, 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z + 9. List the prime factors of h(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -695*u**4 - 6*u - 536. Let q(c) = -2*c**4 + 2*c. Let t(a) = n(a) + 3*q(a). What is the first derivative of t(g) wrt g?\nAnswer: -2804*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 11. Let q = 16 + c. Solve -q*m = -o - 25, -2*m - 5*o + o + 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -2\/13, 0.5 in increasing order.\nAnswer: -0.9, -2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 634 + -647 + 21 + -1 - -30?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 + -419\/3. What is the closest to p in 3, -5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0 - 12. Let v be 309\/2 - 2\/u. Calculate the highest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:45 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 9 - -1) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 16*h + 2. Let l be n(16). Suppose 6*p = l*p + 8. Solve -z + p = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 3*k + 2*k)*(-6123 + 1619 - 526 - 3778 + 230) as d*k + f and give d.\nAnswer: -17156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddf when three letters picked without replacement from dddddddddfdd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 748 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.09, -4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*i - 527. What is the remainder when i is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z - 504 = -19*z + 27*z. Are 12 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95262568 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2309*r - 9284. Determine p(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 5*o**2 + 2*o**2 + (-1 - 1 + 0)*(5*o**2 - 13 + 13).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/5, 2\/5, -0.11, -15133?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-137*t + 17*t**2 + 137*t)*(2*t - 5*t + 5*t) to d*t + g*t**3 + l + r*t**2 and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and 10398935 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -731 - 7*w + 727 - 3*w as p*w + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -202*g - 78787. Determine y(-390).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9566, -16719, -23872?\nAnswer: -31025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 0*b + 12 = 0. Suppose -3*d + 17 = b. Suppose d*j - 17*j = -1788. What are the prime factors of j?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 8:15 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.8 + 163.8. Let y = 131.97 - a. Is 0.2 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 32*p**2 + 5 + 0 + 4*p**2 - 2 - 6*p. List the prime factors of v(-3).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Let x(j) = j**2 - 2*j - 1. Let l be x(v). Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(175) - (1*sqrt(175) + sqrt(175))) - sqrt(175))\/sqrt(7))\/(sqrt(500) - (sqrt(500) + sqrt(500) + (-5*sqrt(500)*-1 - sqrt(500)))).\nAnswer: -sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 575\/(-90)) + (-7)\/(-63).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55102 = -50*z + 55*z - 863. Is 104 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5759635, -11519365, -17279095?\n\"Answer: -5759730*d + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 - (-5 + 2). Suppose 0 = -6*n + o*n + 32. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1493668070 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 642\/30 - -3*(-8)\/(-40).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 1. Let g be w\/(32\/11 + -3). Let o = 22 + g. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 141, 284, 405, 504, 581, 636, 669?\n\"Answer: -11*s**2 + 176*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 354 + -348. Let q be 14\/18*1 + -1. What is the nearest to q in v, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*t - 60, t + 60 = 2*k + 3*k. Let s = -6262 + 6262. Solve -3*y + s*y - 6 = 2*w, 0 = -4*w - 5*y - k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7220 - -7220. Are v and -1984 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (0 - (3 - 5)). Suppose 0 = 5*s - w - 2*w - 13, 0 = -f*s - 5*w + 45. Solve -s*z - x + 22 = -0*x, -5*z + 18 = -x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b - -93?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -319 + 344. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3521281043?\nAnswer: 7, 17, 29590597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*u - 70*u + 0*u**2 + 61*u**3 - 72*u + 19*u**2 + 182*u to d*u + n*u**2 + r*u**3 + y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 362*l**2 - 7. Let z(g) = 37*g**2. What is q(z(k))?\nAnswer: 495578*k**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -157 (c) 107 (d) 0 (e) 0.2 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -4*d + 4*p, -2*d + 5*p + 7 = 0. Let i = d - -2. Let z(x) = 3*x. Let n be z(1). Solve i*o = 3*a - a - 11, -4*a = -o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -0.9. Let n = 16.8 - 15. Let j = -0.2 - n. What is the second smallest value in -6, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/7 + 5 + (-16)\/(-4). Let x(d) be the first derivative of u*d**2 + 0*d - 4\/3*d**3 + 1 - 3\/2*d**4. Factor x(y).\nAnswer: -2*y**2*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 19 + 111. Calculate the remainder when 67 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, k: 4}. What is prob of sequence okoo?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:23 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28.555 and -0.164?\nAnswer: 28.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 40*p**4 - 5*p**3\/3 - 10*p - 115. Find the third derivative of w(b) wrt b.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k + j - 1, k + 5 = 2*j. Let f(p) = 342*p**3 + p - 1. Let r be f(k). Let q = r + -3110\/9. Find the common denominator of q and 107\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 225*c**4 - 9*c**3 + 9080*c**2 + 9082*c**2 - 18163*c**2 in the form q*c**3 + t + w*c + d*c**4 + h*c**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 3:43 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456455437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 - 200437*o**4\/3 - 200439*o**3 - 601319*o**2\/3 - 200440*o\/3.\nAnswer: o*(o - 200440)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 124 + 5?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 28*j - 11. Let w be z(-5). Let h = w + 155. Solve 0 = 2*o + y - h, 2*o + 2*y + 2 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*1.2143\nAnswer: -0.206431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h - 16 = -4*q, 5*q - h = 20. Let f(y) = 3*y. Let b(c) = 3*c. Let v(m) = 5*b(m) - 6*f(m). What is v(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-two fifths of a millisecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 59*j**2 + 170*j - 111. Let v be a(56). Suppose -2*s - s = 0. Sort s, 4, v, -2.\nAnswer: -2, s, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (12 + (-21 - -29) + -98) - 3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/4))\/(6 - 2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3878, 7788, 11724, 15680, 19650?\n\"Answer: -r**3 + 19*r**2 + 3860*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**3 + 16*g**2 - 30*g - 9. Calculate the remainder when f(3) is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.5. Sort 7, 0.5, s in decreasing order.\nAnswer: 7, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*n + 21*n - 288 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*n + 125 = 9, -3*n = -2*g + 38. What is the remainder when 28 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 32. Suppose -3 = 3*o + 5*g + 7, -4*o + 15 = g. Suppose -2*r = -2*j + 10, -8 - 12 = -o*j + u*r. Solve -3*m + j*m = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 5*p**2 + 3*p**2)*(34 - 69 - 8*p**2 + 39).\nAnswer: -64*p**4 + 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6130890.3 to the nearest ten thousand.\nAnswer: -6130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e25042 - -4?\nAnswer: -e2503e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -2106279 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b5 + -4?\nAnswer: 12b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 18484, -4, 1, 4 in descending order.\nAnswer: 18484, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 - -427988?\nAnswer: 427968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -12607, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0.01, -0.397 in descending order.\nAnswer: 1, 0.01, -0.397, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2))\/sqrt(12) + -2 + 1)**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 10:38 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -26, -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 58381604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 - (126 - (68 + 254)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765870857 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-2)\/(sqrt(54)\/(sqrt(54)\/sqrt(6)))*2 + -2.\nAnswer: -8*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let b(w) be the second derivative of -w**3\/6 - 8*w. What is b(m(u))?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + b + 21. What is the third derivative of -3*p**5 + p**2 + b - 7 wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59742487.57 to the nearest one thousand.\nAnswer: 59742000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oojg when four letters picked without replacement from oororfoogooroojoro.\nAnswer: 11\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/71 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -603 or -541?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 241149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/7))**(-24)\/(d\/d**(1\/6)*d*d\/(d**4\/d)*d*d)*(d**(-2\/7)*(d\/d**(-2\/13)*d)\/d)**(-25) assuming d is positive.\nAnswer: d**(-3173\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 - 5*g - 20. What is the hundreds digit of t(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**25*s**(4\/9))\/(s**(-3\/5))**(-3\/23) assuming s is positive.\nAnswer: s**(26254\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -332034 divided by -6?\nAnswer: 55339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -149 (c) 0.973 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52 - 4*l + 2*l**3 + 22 + 29 + 80*l**2 wrt l.\nAnswer: 12*l + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, 36, -0.2 in increasing order.\nAnswer: -0.2, 2\/55, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 + 1)*(-57*y - 50*y + 42 + 109*y) in the form f*y + n and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + (sqrt(76) - (sqrt(76) - -1*sqrt(76)))*-5)*3)**2 + ((1*sqrt(133))\/sqrt(7) - (-1 + sqrt(304))))*2.\nAnswer: -6*sqrt(19) + 49250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 17454*y + 561600.\nAnswer: -3*(y - 32)*(y + 5850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315744 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {h: 8, s: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 34580?\nAnswer: -34582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 20, 2*b + 2*c = 6*b - 58. Suppose 6*p = 5*n + 7*p - 34, 0 = -5*p - 5. Let x = b - n. Solve x*u = -4*h + 4 + 6, -2*u + 4 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -41, -100, -191, -320, -493?\n\"Answer: -t**3 - 7*t**2 - 5*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*l + 1, 0*k + 6 = -3*l + 3*k. Let y be -2 + (-3 - 29) - l. Let z = 55 + y. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.44, -26, -0.1.\nAnswer: -26, -10.44, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -33, -3, 0, -8, 346 in increasing order.\nAnswer: -33, -8, -3, 0, 1, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i. Let u(b) = -b**3 + 14*b**2 + 12*b - 6. Let c(n) = -5*p(n) - u(n). What is the remainder when c(11) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 162*q**3 + 1469*q**2\/2 - 1170*q. Differentiate l(p) wrt p.\nAnswer: 972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 22618.71mg?\nAnswer: 22618710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 21. Let g(z) = 5*z + 5. Give g(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11708, 11701, 11688, 11669, 11644, 11613, 11576?\n\"Answer: -3*t**2 + 2*t + 11709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12105767903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -29*a + 22*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p + p**3 - 14*p + 2*p - p**2 + 1. Determine u(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, -3, 51, -2\/29, 0.006 in increasing order.\nAnswer: -3, -0.3, -2\/29, 0.006, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 7 - b - 6.\nAnswer: -b - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 * -124.\nAnswer: 13640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*i**3 + 24*i**3 + 23*i**3 + 27*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8af - -fd?\nAnswer: 9ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 10 + 4. Suppose j = -u - u. Let f(m) = -5*m - 12. Is f(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(-137)\/40 + -1 and (10881\/990 + -11)*-103.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*g**2*t - 65190*c**2*g**2 + 30*c**2*t + 528*c*g**2*t + 3*c*g*t + 2*c + 2402*g**2 wrt c?\nAnswer: -2*g**2*t - 130380*g**2 + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 - 8*s - 11. Let w be z(-4). Solve 2*b + 3*b - 15 = -w*l, -l + 2*b + 6 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30dc53 (base 14) to base 11.\nAnswer: -a28937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1394, 4, 5, 2 in descending order.\nAnswer: 5, 4, 2, -1394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161786731 and 5.\nAnswer: -808933655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r\/(((r\/(r**(2\/3)\/r)*r)\/r)\/r))*(r\/(r\/(r*r**(1\/3))*r))\/r)\/(r**1*r**(-1\/3))*r*r**(1\/3)*r**(-4)*(r**(-3\/5)\/r)\/r*r\/r**(-1\/6) assuming r is positive.\nAnswer: r**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**2 - 4*p - 33. Determine c(5).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -1\/3*u**4 + 0*u + 31*u**2 - 4*u**3 - 1\/90*u**5 + 0. Factor n(h).\nAnswer: -2*(h + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22425 and 16474900?\nAnswer: 7475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*s**5\/17 - 2122*s**4\/17 - 10354*s**3\/17 - 790*s**2 - 5208*s\/17 = 0. Calculate s.\nAnswer: -3, -1, -4\/5, 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*h + 7 + 8 = 0, 5*h + 15 = -2*g. Suppose g = -q - q + 4. Solve 2 + 1\/2*l**2 + q*l = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102\/1 - (4 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6)\/((-3)\/(-8)). Let v be ((-6)\/t)\/((-18)\/120). Calculate the greatest common factor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34524 is divided by 518.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b56 - a003a?\nAnswer: -9c1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 + 27 - -7 - (-1 + -2)) + 13.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 173 = 5*c, 19 + 26 = c + 5*m. Let n(x) = -18*x - 15*x + c*x. Let s(d) = 47*d. What is n(s(q))?\nAnswer: 94*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Which is the third smallest value? (a) -5 (b) -6 (c) 0.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -2563, -5039?\n\"Answer: -2476*g + 2389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*h - 506 = -498, 4*h = g - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2749434 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0 - 1\/3*m**3 + 0*m - 1\/72*m**4 + 1\/180*m**5 - 4*m**2. What is h in d(h) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30770 by 5.\nAnswer: -6154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -912, -914, -916, -918?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.2 (c) -2\/153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-60))\/(((-36)\/(-32))\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -38. Let g = u + 10. What is the tens digit of 30 + 1 + g + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**7\/o))\/o*o**(-17) assuming o is positive.\nAnswer: o**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*a**5*d**2 - 3*a**2*d**2 + 4*a*d**2 + 27*d**2 wrt a.\nAnswer: 980*a**3*d**2 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(20\/(-25))*8\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118893553*p**3 - 25647170*p**2 wrt p?\nAnswer: -713361318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 86*r**2 + 64*r - 7. Let g be f(-1). Solve 3*n - 11 = -k, 4*k + g*n - 12 = 11*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 0.081. Let g = -1.979 - p. Let t = 3 + -4. Put t, 5, -1\/5, g in descending order.\nAnswer: 5, -1\/5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:13 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1832 - 7*v**3 - 3663 + 1831 - 2*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + t + 2*t)*(-124 + 124 - 60*t) - 9*t - 8*t**2 + 9*t to the form c*t + k*t**2 + l and give k.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 50*b + 263. Let p be h(-17). Let y = -591 - p. Sort y, -9, 3, 4.\nAnswer: -9, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*l - 48090 = 0, -18*l = -4*o - 17*l + 64150. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 559277 - 242343. Suppose 4*f + h = -295066. Round f to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**3 - 4*m**2 - 41*m - 50. Let c(k) = -k**3 + 3*k**2 - 1. Let r(u) = -5*b(u) - 35*c(u). Let r(x) = 0. What is x?\nAnswer: -19, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197589227 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/60 + -2 - (-1)\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t = 0, -20 = -4*u + 5*t. Factor 4*n**2 - 3*n**2 - 2 + 0 + 6*n**2 - u*n.\nAnswer: (n - 1)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 11:56 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28929252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2002022 (base 3) to base 2\nAnswer: -10111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036 a factor of 516406200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259 - -253.92. What is m rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 16 + -36 - (0 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:19 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -430 + 2533. List the prime factors of q.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36\/13 - -93\/65. Suppose 46 - 46 = -4*u. Find the common denominator of ((-34)\/(-4))\/(14\/(-8) - u) and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*z + 4*l, 5*z + 0*l - 3 = 3*l. Let h = 3.9 - 36.9. Let r = -32.6 - h. Sort z, -2, r.\nAnswer: -2, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64297 is divided by 83.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2851*d**2 - 4*d**3 + 2851*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 3*a - a)*(116*a + 771 - 771)*(0 - 1 + 0).\nAnswer: -116*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9319.564 millilitres to litres.\nAnswer: 9.319564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11036599, 22073200, 33109801?\n\"Answer: 11036601*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4504 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpyp when four letters picked without replacement from blgppylpyppyypypy.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -353 - -507. Let o be (-3)\/(-5) - u\/(-10). Let p = 29 - 21. What is the highest common divisor of o and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 7. Let a = -3 + n. Let o(v) = v + 6. Let u be o(a). Let y(q) = -5*q**2 - 2*q - 1. Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 + k - 3. What is q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2370*z - 1642*z - 71344 for z.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1323 and 11445?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + r**3 + 2 - 638*r + 779*r to o*r**3 + g + c*r**2 + a*r and give a.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-24)\/356)*-22*(-1)\/(-22).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 64074632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 7030 and 4283 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/114*-15*(1 - 38\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 0.4.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.1, -1, -3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 4*j**2 + 5*j. Let n be s(5). Suppose -3*l + 5 + 1 = n. Suppose -l*i = -b - 3*b + 10, -4*b + i + 11 = 0. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.4 + -6.4. Sort -4, z, 7.\nAnswer: -4, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 87 = -42. Let y = 67 - p. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/2))**(-2\/17))**(1\/7)*((o**1*o)\/o)**15*o**(-4)*o*o\/(o\/((o*o**(5\/6))\/o)*o) assuming o is positive.\nAnswer: o**(8431\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = d - 4*h, 3*h = -4*d - 2*h + 35. Let k = 12 - d. Let b = k - 4. Sort 4, b, 3 in descending order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 1. Let d(l) = -l + 2. Let o(n) = -3*d(n) + 5*x(n). Suppose k + 8 = -2*w, k + 2*w = -w - 12. Suppose -s + 4 = -k*s. Determine o(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -29, -24, -17, -8, 3, 16?\n\"Answer: g**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 25, 5 = 5*b + 4*f - 0. Solve 0 = -3*h + b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -4, -11, -20, -31?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p - 2. Let t = -31 - -30. Which is the third smallest value? (a) 0.7 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12300 - 71209 = -4106*t + 167430 - 37463 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, and 2 e when four letters picked without replacement from {a: 2, e: 2, t: 1, w: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 24*k**2 - 141*k - 9. Calculate the lowest common multiple of t(7) and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6923*a - 6914. Give d(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/15 + (-2)\/5. Let r = n - 1. Suppose 8*c - 15 = r*c. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-12 + 23) - (0 + 4 + 13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41256518 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*g**2 - 104*g**2 + 117*g**2)*(3*g**2 + 0*g**2 - 2*g**2).\nAnswer: -81*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. What is the second smallest value in -3, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*(12\/(-9))\/4. What is the third derivative of -4*z**2 + 10*z**3 - 7*z**q + z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + p**3 - 5*p - 3*p**2 + 4*p**2 + 5 + 0*p**3 + 10. Let g(k) = k**2 - 2. Let v be g(-3). Is l(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1024*v**2 + 2575798*v**3 + 3540*v**2 - 3368*v**4 - 2575798*v**3 wrt v?\nAnswer: -80832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/12)*r*r)**(-2\/109) assuming r is positive.\nAnswer: r**(-25\/654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*63\/56*(-98)\/2352?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n. Let v(q) = 431426*q. Determine u(v(r)).\nAnswer: 862852*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 8*x + 6. Let m be l(-6). Suppose 8*z - 14 - 10 = 0. Suppose 5*q - q = 5*i + 282, -m = -z*q + 3*i. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/2940*-110 + 11\/77. Let i = 9 + 0. Which is the smallest value? (a) i (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a millisecond in microseconds?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 12 = 22*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13*v**2 - 10*v - 17. What is the remainder when 164 is divided by o(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 9663*n - 10774*n - 3.\nAnswer: -1111*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + h + 12. Suppose -h*z + 4 = -0*z. Let i be ((-57)\/76)\/(z\/(-4)). Solve 2*v + 4 = -t, -i*v = t + 1 + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41863 not equal to -41863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16635 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d + 51*d = -3*p + 1024441, -3*p + 1024433 = -d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 + 5*k + 8. Let g(t) = -3*t**2 - 2*t - 13. Let n(m) = 2*m**2 + m + 14. Let x(h) = 5*g(h) + 4*n(h). Calculate -6*b(p) - 5*x(p).\nAnswer: -p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 30, 4.\nAnswer: 4, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxzhtxzktzdh. Give prob of sequence dth.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275138*g**3*u + 38*g**2*u + 2*g**2 - 63*g + 20*u wrt g.\nAnswer: 1650828*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -145*x - 21. What is the tens digit of v(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33944 is divided by 1474.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 13?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -36 - 3*b + 20 + 16. Let y(v) be the third derivative of 0*v + 0*v**3 + 4*v**2 + 0 + 1\/6*v**4. Determine y(f(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 21 = -5*q + 5*b, 0 = -2*q + 3*b + 7. Let r(u) = -7*u**3 - 5*u**2 - 5*u + 5. Let n(i) = 7*i**3 + 6*i**2 + 6*i - 6. Determine q*n(o) + 6*r(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 5, r: 1, n: 4, q: 1, p: 1}. Give prob of sequence nrn.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/30)\/((-75)\/125)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6931110 is divided by 3132.\nAnswer: 3126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 110101000000?\nAnswer: 110100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, t: 4, g: 5}. Give prob of picking 1 g and 1 i.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3976260*h**3 + 5059*h**2 + 278*h + 2.\nAnswer: -23857560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l + 49. Let j be w(-10). What is the greatest common factor of 261 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -1. Let m = -26 - -28. Which is the second biggest value? (a) l (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -56*u**2 + 8*u - 7. Calculate y(1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 125, 128, 131?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18 and 70\/5823.\nAnswer: 11646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4319 - -4937. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g - 26. Let i(y) = -1. Let c(o) = 156*i(o) - 6*p(o). Let f(z) = -z. What is f(c(x))?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-38)*(-2)\/26*1\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072 take away -0.1?\nAnswer: -2071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 753454?\nAnswer: 3013816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 37*h**2 - 20*h + 41. Let q be t(18). Let m(x) = x**3 + x**2 - 6*x + 4. Let c be m(-3). Solve q*v + 19 = c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/98 and 143\/490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10178738 is divided by 771?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x = 32*x + 5*r + 45, -12 = -4*x - 8*r for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:34 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122\/(-14)*(89 + -103) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = 4*d - 2*p + 202, -2*d = 2*p + 198. Let v = d + 98. Let l(z) = -z**2 - 6*z + 5. Calculate l(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5962 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:48 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/21 - 106\/6. Let p = i + 31. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*z - 6, 0*g + g = 3*z - 10. Suppose -t + c + 419 = 0, z*t - t + c - 1261 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751644?\nAnswer: 2, 3, 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 39*g**2. Let s(b) = 10 - 29 + b + 19. Give s(x(q)).\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -45085, -0.9, -2, -3\/4?\nAnswer: -45085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/232)\/(6\/32*-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.088 and 0.105.\nAnswer: 0.00924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-120)*30\/4. Let d be (-8)\/(-3) + (-4)\/6. Suppose 0 = y*p + d*p. Is 0 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let u be (4\/3)\/((-1)\/3). Let h(c) = c**2. Let k be 4\/22 - 26\/22. Let a(o) = -5*o**2. Let f(q) = k*a(q) + u*h(q). Calculate f(p(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -33*n - 5*n**2 + 1083 - 29*n + 0*n**2 - 4*n. Let r(d) = -d**2 - 1. Let u(i) = -5*c(i) + 30*r(i). Find k, given that u(k) = 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*v**5 - 5*v**4 + 10355*v**2 - 61486829*v wrt v.\nAnswer: 2580*v**3 - 60*v**2 + 20710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - (370\/(-52) - -6). Let m = 63\/26 - 30\/13. Let u = c - m. Sort -3\/2, u, 0.13.\nAnswer: -3\/2, 0.13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7701336 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -4 + 0*f - 9\/4*f**4 - 1\/6*f**6 - f**2 - 7\/3*f**3 - f**5. Solve y(c) = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 11. Let w be y(-2). Let l(n) = 7*n**3 + 5. Let j(k) = -11*k**3 - 8. Calculate w*j(h) - 8*l(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157176 is divided by 4492?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 3 + -1 + 2. Let w(p) = -3*p**3 - p**2 - p - 1. Let d be w(-1). Solve 5*z = -4*q + 1, d*q - 5*z + v - 29 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 - 44*d**2 + 29*d - 16.\nAnswer: -6*d - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 328813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786219 + 786219 - 2121*z.\nAnswer: -2121*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-3 + (-19)\/((-57)\/18). Suppose 0*f - 5*j + 20 = 4*f, -3*j = f - 12. Solve f + 3 = g*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 - 0.1. Let g = -163\/6 + 27. Let m = 17.871 - -0.129. Which is the closest to 0.1? (a) g (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2\/5 + 523376*b\/5 + 14657664\/5 = 0. What is b?\nAnswer: -28, 130872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 805. Let r(p) = -92*p - 165*p**2 + 92*p - 184*p**2 + 348*p**2. Give r(d(b)).\nAnswer: -25*b**2 + 8050*b - 648025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + g + 3*g)*((-3 - 1 + 3)*(-1 - 1 - 1) - 4 + 2 + 0) as o + z*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b6 (base 15) in base 9?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -153351031 (base 6) in base 7?\nAnswer: -36422125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34929663 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 0*n**3 + 2*n**2 + 0*n - 3 + 3\/4*n**4. Find the second derivative of x(c) wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091120568.\nAnswer: 2, 167, 409, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/510 and -41\/5490?\nAnswer: 93330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/144*6*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 251*a**2 + 57*a - 2641. Is b(30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 61, 38, -3, -68, -163, -294, -467?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 165*y**2 + 985*y - 30 = 0.\nAnswer: -6, 1\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.186*1.876.\nAnswer: 7.852936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3750*a - 1098 = -3689*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -7. Let b(n) = n + 2. Suppose 0 = -t - 0*y + 4*y - 2, -t - 5*y + 34 = 0. What is the remainder when t is divided by b(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h**2 - 3*h - 2. Let i be q(3). Let b = -18 - i. Calculate the remainder when 31 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156187 is divided by 1404?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p**3 - 39*p**2 - 70. Let b(h) = -15*h**3 + 45*h**2 + 71. What is 6*b(j) + 7*k(j)?\nAnswer: j**3 - 3*j**2 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 5*p - 2. Let g be c(3). Let m = 6 - g. Suppose -b**2 + 2*b**2 - m*b**3 + 3*b**3 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 25406*x + 31147. Let b(v) = -12704*v - 15486. Let i(s) = -5*b(s) - 3*z(s). What is the derivative of i(r) wrt r?\nAnswer: -12698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6374 - 6371. Solve -p + 4*w = -j*p - 14, 11 = p - 4*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swss when four letters picked without replacement from wxsxwxsxxssxxxxssx?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102222 - -21211?\nAnswer: -12011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = 595*x - 629*x - 1063 - 1204 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5120290*u**5 + 39*u**4 + u**3 - 269589488*u**2.\nAnswer: 307217400*u**2 + 936*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070192um in nanometers?\nAnswer: 7.0192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 = -19. Let o be (-2 + w)*(0 - -1). What is the second smallest value in -1\/5, o, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/127128 and -17\/69.\nAnswer: 2923944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49742073*g*w - 2*g - 1290627 wrt w.\nAnswer: -49742073*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b**5 + 0*b**4 + 0 - b**2 - 1\/30*b**6 - 1\/3*b**3 + 0*b. Differentiate r(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16217303 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/36681736 and -109\/18340868.\nAnswer: 36681736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45173692 to the nearest integer?\nAnswer: 6721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - 115. Calculate the greatest common factor of 270 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 1. Let r(k) = -152*k + 57. Let f(b) = -57*g(b) - r(b). Let l(s) = 3*s. What is f(l(i))?\nAnswer: -57*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 166, -2\/11, -4, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1882*z - 600*z + 181 - 181.\nAnswer: 1282*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -5, -2, 1, 4?\n\"Answer: 3*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a**2 - a + 2. Let x be t(0). Let l(h) be the first derivative of -10\/9*h**3 + 2\/3*h**2 - x - 2\/15*h**5 + 2\/3*h**4 + 0*h. Factor l(b).\nAnswer: -2*b*(b - 2)*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -71, -111, -149, -185?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18133800 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 2*p + 4*p - 6.\nAnswer: -p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = -8. Suppose -2*u + 3*t = -h, -3*u - 4*t = -5*t - 14. Calculate the highest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**7\/14 - o**4\/4 - 4*o + 4. Let a(i) be the first derivative of n(i). What is the third derivative of a(q) wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252248872 to the power of 1\/2, to the nearest integer?\nAnswer: 15882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - 2*r + 6*r)*(248*r + 314*r - 152*r + 191*r) to y + u*r**2 + k*r and give u.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 976.\nAnswer: 12688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Calculate the common denominator of ((-258)\/(-27) - 4) + 1 and (-2)\/t - 221\/(-30).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 60, 119, 200?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 277.2 - 240. Let w = v + -40.2. Let u be -2 - (-4)\/(2 + 0). Which is the second smallest value? (a) u (b) w (c) -0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292 divided by 1?\nAnswer: -1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b. Let j(y) = y - 1. Give -j(g) - t(g).\nAnswer: -18*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 654273386 to the nearest integer?\nAnswer: 25579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o + 117*o + 68*o - 25*o + 213*o as f*o + p and give f.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2)*(-15)\/10. What is the units digit of (-13 + 1)*t\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 2*c**2 + 4*c**2)*(-7 + 3 - 2)*(2 - 2 - 1)*(0*c + 0*c + c)*(-1 - 4 + 1).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-10))\/(((-22080)\/(-2800))\/(-92))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.303 * 0.19.\nAnswer: -8.41757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 52, 67, 80, 91, 100, 107?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 2*f**2 + 5*f**2)*(-2*f**2 + f**2 - f**2) - f**4 + 2*f - 2*f + (19*f**2 - 281*f + 281*f)*(-3 + 3 - 2*f**2).\nAnswer: -37*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*9\/(-12)*(-9 - 287\/(-35)). Let o(a) be the second derivative of 0 - 22*a - 9\/100*a**5 + 12\/5*a**2 + x*a**3 - 11\/20*a**4. Find r such that o(r) = 0.\nAnswer: -4, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 1\/12*h**4 + 0*h**2 + 0*h**3 + 0 + 2*h. Let x(k) be the first derivative of k**2 + 11. Calculate x(a(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2*3)\/(sqrt(252) + 1*sqrt(252) + sqrt(252) - sqrt(252)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*d + 4*d + 148 = 0, d = -2*s + 128. Suppose 12 = 2*y - 3*o + 8*o, 2*y + o - 12 = 0. What is the highest common factor of y and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 - 1.2881904?\nAnswer: -423.2881904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6224 - 6223.987798. Round w to four dps.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(3\/5)*p*p*p)\/p**2)\/(p\/(p*p**(-1)))**29)\/((p*p**6*p)\/(p**5\/p)*((p\/(p\/p**(2\/3)))\/p)**(-2\/3)) assuming p is positive.\nAnswer: p**(-1432\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/14960 and 131\/1593240.\nAnswer: 3186480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:53 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1177 - -10) + (-26)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.52417 + -0.04583. Which is bigger: -58 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/j*j**6)\/(j*j\/((j*j**2)\/j))**(-18\/7) assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85\/24 or -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Solve 0 = -2*b - 2*b - 4, g*y = -2*b + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -2*j - 7\/2*j**2 + 0 - 1\/3*j**3. What is the remainder when 3 is divided by n(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/8*14\/245*7\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -2 - (-38 + 62).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 18*s**2 + 2\/15*s**5 + 1\/2*s**4 - 4\/3*s**3 - 2\/15*s**6 + 1\/84*s**8 + 0 + 0*s**7 - s. Factor k(f).\nAnswer: 4*(f - 1)**3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixqaxaxxqaxxaxaaxax. Give prob of sequence qx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 6*y + 7. Let w be j(7). Suppose 4*d + q + 1 = w, 3*d + 5*q + 23 = d. Let c = d + 1. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/45*3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.760084 litres to millilitres.\nAnswer: 5760.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2242.\nAnswer: 1\/2242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -390691240 or -390691239?\nAnswer: -390691239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bca + -2?\nAnswer: -2bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 17*a - 45. Give t(25).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**3 - 3*q**2 - 2*q + 4. Let y(k) be the second derivative of -9*k**5\/20 + 5*k**4\/12 + k**3\/2 - 7*k**2\/2 + 742*k. Determine 5*l(a) + 3*y(a).\nAnswer: -2*a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 7*y**2 + 228*y + 12. What is d(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*r - 4*r = -1, -3*i = r. Let b be (-64)\/8 - 3 - -7. Put b, -6, i, 4 in descending order.\nAnswer: 4, i, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 157572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199005214*z**4 - 30029096*z + 2 wrt z?\nAnswer: -2388062568*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 2\/5, -0.15, 10?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 173.889?\nAnswer: 178.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 9:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 257757 at most 3350850\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*c + 11, 5*c + 2 + 17 = 3*f. Suppose -f + 5 = z. Let b(r) = r**2 + 4*r. Let q be b(-4). Solve q*j + 8 = -z*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 2*h - 6*h)*(h - 17 + 17)*(1 + 0 - 4) as u + m*h + i*h**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2412, 19266, 65006, 154074, 300912, 519962, 825666?\nAnswer: 1232466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16894\/77 - -1406\/7. Let h = 441\/22 + r. Factor 1\/2*j**2 + 1\/2*j**4 - h*j - 1 + 3\/2*j**3.\nAnswer: (j - 1)*(j + 1)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*(sqrt(17) + sqrt(34)\/sqrt(2)) + 3)**2 + (sqrt(34)\/sqrt(2)*-5*-1)**2 + 3).\nAnswer: -3050 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173895*d = -5*u - 173894*d - 20, 2*d = 5*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -109*c - 1 - 1 + 113*c + 2*c**2. Let t(k) be the second derivative of 1\/12*k**4 + 0*k**2 - k + 0 + 1\/6*k**3. Give 3*t(b) - w(b).\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 - 24. Let u be a(10). Suppose -282*r + u*r + 282 = 0. What is the remainder when 154 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.63 + -500.37. Let g = m + 505. What is the nearest to g in -4, 54, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-3)\/((-84)\/(-112))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = -0, -r = -2*w + 3. Let p(v) = -2*v - 1. Let h be p(-3). Suppose -h*o + r*g + 81 - 2 = 0, -3*o + 2*g = -48. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**2 + 89*h + 233. Let r be c(-7). What is t in 13\/2*t + 169\/4 + 1\/4*t**r = 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 2182403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Let j(g) = -g**3 - 2*g + 0*g + 3 + g + 4*g - 2*g**2. Let y be j(w). Solve y*p - 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 + 37*y + 2. Let z be m(6). Suppose -o = 10*o - z. Which is the nearest to -6? (a) o (b) 3\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x + 2*x - 4*x)*(-72 + 72 + 28*x + 1 + x - 1 + x - 2*x + 3*x + (1 - 6 + 4)*(4*x - 4*x + x)) as k*x + v*x**2 + d and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(-277 + 33*i + 277) + (3*i + 0*i - 2*i)*(1 - 3 + 5).\nAnswer: 102*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2218 + 3764. What is the remainder when l is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104 - 215 - j**3 - 29621*j + 29622*j to m + a*j**2 + p*j**3 + q*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let n(p) = p**3 - 4*p**2 + p + 2. Let q be n(3). Let i be l(q). Suppose -i*z - 2 = -37. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 2111695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-268)\/(-68))*(-20 + 35 - 13)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and 13\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555420.\nAnswer: 2, 3, 5, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -915.6913 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 321*v**2. Let g(s) = 672*s**2. Give h(g(p)).\nAnswer: 144958464*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*w + 327*w - 636*w**3.\nAnswer: -636*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 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: Four letters picked without replacement from {f: 1, m: 7, t: 5}. What is prob of picking 4 m?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 498*g**4 - 2*g**3*o**3 + g**3*o*y + 3*g**2*o**3 + 32*g**2*o**2*y + 8*g**2*y wrt g?\nAnswer: 11952*g - 12*o**3 + 6*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1 (c) -3\/2 (d) -0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1480*g. Let k(u) = -21*u**2 + u. Give k(s(q)).\nAnswer: -45998400*q**2 + 1480*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.815 - -10.21. Let k = q + -23. Round k to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4422.\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6 - 6 - 2*u**2. Let a(t) = -4*t - 5*t + 34*t. What is a(l(g))?\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1522? (a) 0.7 (b) -1\/4 (c) 4\/249 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816159.2l to millilitres.\nAnswer: 816159200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0*y**2 - 2*y - y**2 - 2*y + 5*y + 4. Let j = 41791\/112 - 2622\/7. Calculate the common denominator of j and d(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1 + 0*o - 6*o + 2*o. Let t be l(-1). What is the highest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/23 and 49\/4184.\nAnswer: 96232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/14*(-8)\/100?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + q - 202852 = 0, -89*o + 2*q = -92*o + 121707. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -49528\nAnswer: 25\/24764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 44532000 (base 6) to base 11\nAnswer: 841a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6104, 24392, 54872, 97544, 152408?\nAnswer: 219464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - 75\/9. Let k be (-6)\/z*-12*1. Let a(j) = -9*j. Let u be a(1). Is u greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (-5)\/5) + 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(24)\/(sqrt(4)*1) - -2*sqrt(54))\/(((sqrt(128) - sqrt(128)*2) + sqrt(2) + sqrt(2))*2)*-2)**2*-2.\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97155037*f**3 - 144*f**2 - f - 608759 wrt f.\nAnswer: 582930222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 2\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + -10.84. Let x = 11.1 + o. Let n = 6.8 + 2.2. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233840379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283 by 1128.\nAnswer: 283\/1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*a**2 - 24*a**3 - 30*a**3 + 0*a - a + 23*a**3 + 67 + 26*a**3 wrt a?\nAnswer: -30*a - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5557 - 1?\nAnswer: -5560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21714, -21713, -21712, -21711, -21710?\n\"Answer: g - 21715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6382 - -6372. Which is smaller: -1\/161 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 2}. Give prob of sequence skks.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 2*p**2 + 2*p - 3. Let u be f(3). Let a = u - -10. Suppose -2*g + a*g = 48. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/7 (b) 0 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10592.92334 - 0.72334. What is a rounded to the nearest 100?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + 0 + -52 + 32 + 19 - (-6 + 11)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1569580, 1569571, 1569562, 1569553, 1569544?\nAnswer: 1569535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3.5. Which is the biggest value? (a) 0.2 (b) -1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)\/j*j**(-7))\/(j*(j**(1\/8)\/j)\/j*j*j*j**3))\/(j**2*j\/j**(-1\/10)*j**(1\/7)\/j**(-4\/3)) assuming j is positive.\nAnswer: j**(-14309\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5) + (15 - 448\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 0.4, 0, 5, 4, -478 in descending order.\nAnswer: 10, 5, 4, 0.4, 0, -1, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + 0 + (8 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/7 - 14505*c - 203082\/7.\nAnswer: 3*(c - 33847)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133012010 (base 4) to base 12.\nAnswer: 61858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -7. Suppose 465 + 635 = 5*o. What is the remainder when (o\/(-30))\/((-1)\/3) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -284\/5*h + 10082\/5 + 2\/5*h**2.\nAnswer: 2*(h - 71)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/5 of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*h - 14 = 3*o, -4*o - 5*h + 16 = 0. Suppose x + 117 = -0*a - a, 316 = -3*a + 4*x. Let m = o - a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4 + 40322*d**3 + 1090392*d**2 - 4845368*d + 5006624 = 0. Calculate d.\nAnswer: -31, 2, 20188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + (-1136)\/24. What are the prime factors of 0\/(-11) + (-1 - s)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2035216055 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432946503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198 - 142) + 2 + 13\/(-5) + 40\/25.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -116752 + -0.1\nAnswer: -116752.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*43.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmqqamamaqm. Give prob of sequence aaq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 7*b. Suppose -3*f + b*f + 6 = 0. Find n such that 1\/3 + 1\/3*n**3 + n**f + n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*z + z + 3*t, 2*z + 2*t = -12. Let a = 13 + z. Solve 4*v + 18 = -2*u, -a*v + 4 = -4*u + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h - 2*r = 153, 5*h = 2*r + 725. Let y = -120 + h. Let x(u) = -u**3 + u**2 - u + 12. Calculate the remainder when y is divided by x(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = 20. What is the smallest common multiple of 5 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7135 - -12815. List the prime factors of m.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/85673189 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104057460 and 6588?\nAnswer: 104057460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -100*f**2 + 1790*f + 68. Determine n(18).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - u + 80 - 66 = 0, 26*g + 2*u = 31*g - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p - 42*p + 1799*p - 85869 = 0 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*j - 53 = 217*j + 59 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (0 - 0\/(-3)). Let t be (177\/12)\/(1\/1). Let g = d + t. Find the common denominator of -75\/2 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.9, 115, -4\/7 in increasing order.\nAnswer: -4\/7, -1\/5, 0.9, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**2 - 3 - s**3 + 0 - 2*s**2. Let g be k(-9). Is 131\/2 - g\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12 = -0*a, 4*a + 68 = 4*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/160 and -73\/100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1897 - 1905. What is the fourth smallest value in l, 15, 3, -3\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:43 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 30 - 12 = -4*i, s = -i + 14. Let w be (-4 - (-20)\/i)*-9. Suppose -5*n + 3*v = -1, -3*n + w = 5*v - 0. Is n bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + 3955 = 3717 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 2, u: 5, m: 8}. What is prob of sequence eum?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 + 1541\/11. Let w = -393 + 622. Let g = 228 - w. What is the smallest value in s, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 6 = 0. Let r(n) = -n + 3. Let g be r(z). Suppose 2*l + g*l = -10. Does -5 = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*86.232686.\nAnswer: -51.7396116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1386 and 105\/638?\nAnswer: 40194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17981035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n + 1 + 15*n - 5)*(0*n - 4*n + n).\nAnswer: -15*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)\/(((f\/f**(3\/7))\/f)\/f)*((f\/f**11)\/f)\/(f*f**13) assuming f is positive.\nAnswer: f**(-179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -24*k**3 - 23*k + 2. Let p(h) = -120*h**3 - 139*h + 11. Determine -4*p(i) + 22*x(i).\nAnswer: -48*i**3 + 50*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 8. Let c be b(6). Let u(r) = -r**2 - 4*r - 1. Let z be u(c). Let g = z - 0. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 5*d**2 - 6*d + 2. Let q be p(6). Suppose -u = -q*u. What is the nearest to u in 2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/542389 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-303)\/4242*9*-7.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.537? (a) 2 (b) 10 (c) -5 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3582*q - 1273*q + 1331*q - 1247*q - 9762*q to the form i*q + s and give i.\nAnswer: -14533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12512 and -85\/4968.\nAnswer: 337824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p + 4*p + 5*p - 4 + 0 - 2*p + 0 + (4 - 1 - 2)*(4 - 4 + p).\nAnswer: -3*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23132 + 23365. Calculate the remainder when 944 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-44))**(-39)\/(o*(o*o*(o*o\/((o\/(o*o**(1\/6)))\/o))\/o)\/o)**(5\/2) assuming o is positive.\nAnswer: o**(20467\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1069 + 1073. Solve 5*j - h - 15 = 4*g, j - 8 = 5*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6898, -13765, -20550, -27211, -33706, -39993, -46030?\n\"Answer: 7*o**3 - o**2 - 6913*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4184 in 49, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let o(j) = 45638*j**2 - 5*j - 5. Let q(a) = o(a) - 3*t(a). Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2899 * -0.4\nAnswer: -1159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 0.7 (b) 4 (c) 0.4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*z + 134 = 23*j, -5*z + 1 - 14 = 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2783913 divided by -2?\nAnswer: 2783913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 - 15 = 0. Solve -4*z - 4*j = -9*j - b, 4*z - 4*j = 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30248 - -41594?\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + -0.05. Let b = n - -0.33. Let h = 0.07 - b. Round h to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1231.8839 - -1232. Let r = f + -0.12267. Round r to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/(-4) + (-3)\/9 and 2\/(-11)*(-27544)\/5634.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by -404\nAnswer: -115\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 0) + (-16 + (14 - -10) - 11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/24 and -4*(-1)\/(-2) - 370\/(-165).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 20*r**3.\nAnswer: 5*r**3*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 4*j - d, 5*d = 0. Let v be 203\/3 + (-1 - j). Let x = 65 - v. Which is the closest to x? (a) 5 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145483550 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*m + 24701, -3332 - 15191 = -3*m - 5*c. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21969116 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6389.\nAnswer: 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170173.\nAnswer: 167, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.1525, 0.4, 3, 0.3.\nAnswer: -18, -0.1525, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -16, -4*g + 3*x + 4 = -0*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 525771 divided by 1199\nAnswer: 525771\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.6651 seconds in milliseconds?\nAnswer: 819665.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Suppose -u*p = 2*x + 6 + 8, -4*x = p + 18. Let v be (-20)\/(-15)*3\/p. Which is greater: v or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-3*o + 3*o - o)*(2*o - 3*o - 3*o)*(2 - 1 - 2).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.07 + 0.23. Let i = 253.88 - 257. Let z = i + r. Sort 3, z, 1\/4 in ascending order.\nAnswer: z, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:52 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a39 - -21?\nAnswer: 9a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9198*h**2*o**2 - h**2*o - h**2 - 44*h*o**2 + 2*h*o - 144 wrt h.\nAnswer: 18396*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 + -99 + (2 - -1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*o - 16. Let l be 4\/o*15\/(-69). Sort l, -1, -1\/4.\nAnswer: -1, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 - 2*l**2 + 26*l. Let r(h) = -11*h**3 - 7*h**2 + 79*h. What is -7*c(i) + 2*r(i)?\nAnswer: -i**3 - 24*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 4*h**3 - 2*h**3)*((3 + 1 - 2)*(406*h - 370*h - 267*h) + h + 2*h + 0*h).\nAnswer: -459*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3254?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -54*y**2 + y + 3. Let h(s) = 52*s**2 - 10*s - 4. Determine 3*h(p) + 4*m(p).\nAnswer: -60*p**2 - 26*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(432) - (-1 + sqrt(432)*-3))*6 + 1*((sqrt(432) - (sqrt(432) + -1 + sqrt(432) - sqrt(432))) + sqrt(432)) + 6*-2*sqrt(432))**2.\nAnswer: 2184*sqrt(3) + 73057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikuiigkiigtg. Give prob of picking 1 g and 1 i.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603\/9 + 5 + (-282)\/54.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110011010 (base 2) to base 4.\nAnswer: 2332122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*q**2 - q**3 + 30*q**2 + (11*q**3 - 16*q**3 - 14*q**3)*(0 + 2 - 1) to w*q**2 + r*q**3 + c + z*q and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - -60. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24946*l**2 - 37*l - 23. Suppose 0 = -5*f - k - 33 - 53, -f + 4*k = 13. Let h be p(f). What is h rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*d - 5*r, 0 = -4*d + 2*r + 2*r + 76. Suppose -f - d = -49. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h**2 + 15*h - 10. Let d(z) = 2*z**2 - 3*z + 2. Let j be (-11 + 0)*(-2)\/6*-3. Calculate j*d(q) - 2*s(q).\nAnswer: -2*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 15*b + 21 = 0. Suppose -b*j = -14*j - 189. Calculate the smallest common multiple of j and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxx when four letters picked without replacement from {m: 5, x: 4, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 361 and 1\/48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4702, 9134, 13116, 16420, 18818, 20082, 19984?\nAnswer: 18296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 150. Let h be i\/2*-2 + (-59 - -58). Solve h*s = -s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5055 - 12145. Let y = h - -42443\/6. Calculate the common denominator of 79\/30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 9*d. Let i(h) = 10490*h. What is i(g(x))?\nAnswer: -20980*x**2 - 94410*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 90\/12)\/(122043\/(-3060) + 40).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3495*p**3 + 9*p**2 + 21*p. Let f(o) = -17475*o**3 + 42*o**2 + 98*o. Give 3*f(m) - 14*y(m).\nAnswer: -3495*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 4*h**2 + 2*h - 1. Let u be k(-3). Suppose 5*a - 1 - 5*a + 4 - 3*a**u = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 7*f. Let p be (16\/2 - 4) + f. Solve -l + p = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56 + 62)*((8\/(-4))\/2)\/(-3). Let b(w) be the first derivative of 1\/14*w**4 + 0*w + 2\/21*w**f - 27 + 10\/63*w**3. Find t such that b(t) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 greater than or equal to -682\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 6 - 18 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:21 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29227*d**2*o**3 + 2*d**2*o**2 - d**2*o + 3*d**2 + d*o**3 + 2142*d*o**2 + d*o - 5*o**3 - o**2 - 4*o wrt d.\nAnswer: 58454*o**3 + 4*o**2 - 2*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b + 8. List the prime factors of u(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30209786221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 5) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 3*p + 11 = 2*o + 143, 10*o + p = 343 - 289 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a - 200 = -60*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.207 * -2093\nAnswer: -433.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4 - 8*x**3 - 14*x**2 + 8*x + 15 = 0?\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:17 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/8)*r**(-2)*r*(r*r\/((r\/r**(-3\/4)*r)\/r))\/r*r*r*r\/(r*r\/(r\/r**(-2\/5)*r)*r) assuming r is positive.\nAnswer: r**(21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 121, -1\/3, 2, -1\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 - -74. Let o = 36.9 + f. Let n be (8\/(-10))\/((-12)\/20). Which is the nearest to 0? (a) n (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*b + 8438 = 357*b - 7062 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -660 - -655. Let s(h) be the first derivative of -5*h**3\/3 - 3*h**2 + 2*h + 1. Let y(r) = 3*r**2 + 4*r - 1. What is l*s(d) - 8*y(d)?\nAnswer: d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3074 and 154018?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.4725 minutes in days?\nAnswer: 0.437828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 58 + m - 2*m + 2*m - 14. Let t = -1 + 1. Calculate the remainder when o(t) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 49324*o\/7 + 304107122\/7.\nAnswer: 2*(o + 12331)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*k - 20*j*u**3 + 45*k*u**3 + 126*k + 48*u**2 + 32 wrt u.\nAnswer: -60*j*u**2 + 135*k*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.204177 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 61689177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1802211 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/6*(-4 - -3)*-2. Suppose -4*b - 25 + 269 = c*y, 0 = 3*b - 4*y - 208. What is the remainder when b is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*5\/(-40)*4\/5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8102 + 21644. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 1. Calculate v(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*c - 4*m + 8, 0 = -4*m + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-120)\/(-1983)) - (-8)\/(-80). Let n = -54 + l. What is the remainder when n is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3186 and 5492664.\nAnswer: 5492664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744654.\nAnswer: 2, 53, 109, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -20. Calculate the least common multiple of z and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.08, -0.01, 0.04, -15?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 6. Let f be z(9). Let i = f - -2. Suppose -62 - 8 = -i*t. What is the lowest common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -339\/214, -4, 6 in descending order.\nAnswer: 6, -339\/214, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9) + 22\/(-3). Let n be ((-2)\/s + (-51)\/(-42))*-2. Which is the closest to 0.3? (a) n (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 - 2*p - 3. Suppose -171 = -5*b - 116. Let v(q) = -2*q**2 - q - 2. Give b*v(x) - 6*y(x).\nAnswer: 2*x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 24*f**2 - 21*f + 286. List the prime factors of t(9).\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -74491507\nAnswer: 7449150.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 - 174*v + 251. Determine u(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 35469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -19. Let u be v\/((-9)\/3) - 2. Suppose 0 = 2*r + u*r - 15. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*j - 425169 = 294*j. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*n + 2102 - 266 = -1428 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323704 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = -2*c + 4*o, 2*c - 4*c - 266 = 2*o. Let u = -234 - c. What is u rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 3, g: 1}. What is prob of picking 1 g and 1 e?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.37952055 to three dps.\nAnswer: -21.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from oahkixa?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21*3 + -1 + 168\/33.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - n**2 + 2*n - 1. Let s be 1\/((-1)\/(-3 - -2)). Let t be d(s). Suppose 5*i = t*i + 8. Solve 0*k + i = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(5\/3)\/v)*v**0)\/(v**(2\/7))**(-25\/2) assuming v is positive.\nAnswer: v**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**3 - 3*i**2 + 3. Let w(g) = -13*g**3 + 7*g**2 - g - 7. Calculate -7*d(b) - 3*w(b).\nAnswer: -3*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 71*h**2 + 10371*h + 736. Determine o(-146).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*x + 5*u, -2*x - 4*u = -0*u + 32. Let i(d) = d**3 + 2*d + 6. What is the remainder when 3*(34\/x)\/(-1) is divided by i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.066 in 2\/25, -14, 3, 2999?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -49221.\nAnswer: 1\/16407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1051 + 0.3949. Which is the third smallest value? (a) q (b) -3\/4 (c) 0.37 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.91518.\nAnswer: 0.183036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15267 - -15287. Let m = 1 - -1. Sort m, -4, 5, z in descending order.\nAnswer: z, 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22843.3 and -4.8?\nAnswer: 22838.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -202144 greater than -2188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 151.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 5*p - 535 = -2*x + 18*x, -3*p = -3*p - p + 81 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.94 + -494.94. Let q = 488.61 + l. Round q to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.1. Let k = 34 - 32. Which is the closest to 1\/4? (a) -0.5 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 2 = -i + 11*u, 0 = -2*i + 2*u + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*s + 34, 51 = 2*f + 4*s + 13. Suppose 7*r - f*r = -640. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686465 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**4*n**3 + 9*l**4*n - 3*l - 10*n**3 wrt l?\nAnswer: 84*l**2*n**3 + 108*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 595\/37?\nAnswer: 595\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257676 is divided by 7997?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:57 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 189*k**2. Let z(n) = -5*n**2. Calculate m(z(s)).\nAnswer: 4725*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/360 + 4*i**5\/15 - i**4\/24 + 3*i**3 - 133*i**2. Let q(c) be the second derivative of m(c). Give q(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 41*q**8\/336 + q**7\/105 - 19*q**5\/30 - 3*q**3\/2 + 2*q**2 - 762. Find the third derivative of o(b) wrt b.\nAnswer: 2460*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269015 is divided by 353.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*(-8 - -5). Let z(f) = -1 - 3*f**2 + 0*f + 3*f + 4*f**m + 0*f**2. What is z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 520 - 15746 = -2*k, 16236 = 2*k - 2*d. What are the prime factors of k?\nAnswer: 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140674508 a multiple of 1378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 22*s**2 + 34*s + 18. Let q be d(9). Solve 5*r - 4*p = 18, q*r + 3*p - 2 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/2 + 4184170*z - 8753639294450 = 0. Calculate z.\nAnswer: 4184170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 367, 0, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 3 (c) -16 (d) -918 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 3. Let d(i) = -2*i - 3. Let l(h) = h - 4. Let g be l(15). Suppose -2*j + g = 5. Give j*d(t) - 4*x(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*f - 1 - 24*f + 6.\nAnswer: 212*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-16)\/(-40))\/(6\/(-165))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 3*b + 15 = 11*m, m = 2*b + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 8. Let d be q(4). Let o(l) = 4 + l + d - 5. Let r be o(-9). Which is the second biggest value? (a) r (b) -2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 939\/622 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -12 - -4) + 2 + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5218.8 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/5072916 and 20\/1268229.\nAnswer: 5072916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:51 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -y + 26, 4*d - 7*d = 5*y - 65. What is the first derivative of y - 15 - 1 + 15 + 11*j**4 wrt j?\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*a + 192*a = -736 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.2 - 13.2. Let h = 8 + -5. Let c = 153 + -153.1. What is the nearest to c in h, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4666 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 155 = 43 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78610.2 + 6711.\nAnswer: 85321.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 28 - 32 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 16 - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(3 + 1 - 2)*(7*q**2 + 5*q**2 - 3*q**2).\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/90 + -8\/45. Which is the second biggest value? (a) -28 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8 + z**3 + 0 - 9*z**2 - 23*z + 2*z**2 + 11 + 9*z**2. Calculate b(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155\/72 + -19\/8. Which is the fourth smallest value? (a) -4\/5 (b) l (c) -2\/11 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by 2657805.\nAnswer: -76\/885935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4069 (base 12) in base 13?\nAnswer: 324c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 + 162 = 2*u. Let a = u - 123. Suppose x = -3*k + 2*x + a, -3*k + 91 = -5*x. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668560646 to the power of 1\/2, to the nearest integer?\nAnswer: 25857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) + (-2 + sqrt(17) + 3)**2 + 3*(sqrt(17) + -2)).\nAnswer: 36 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1845\/132148?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 118 + -130 - (-9 + 1 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 16*o - 14. Let c(i) = -i**2 - 10*i + 32. Let a be c(3). Let z be l(a). Solve -4 = 3*q + t, 2*q + z + 1 = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668621 is divided by 133587.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21686, -4, 2\/31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-7)*9 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 63 = -93. Calculate the smallest common multiple of 40 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2109 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Let j(n) = -3*n**3 - 3*n - 6. Let m(h) = -19*h + 15*h - 23 - 3*h**3 + 17. Let a(k) = b*j(k) - 3*m(k). Differentiate a(x) wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5544*b**3 + 9049*b**2.\nAnswer: -33264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let h = -68.2 + 76. Let i = h + -8. What is the closest to m in 1\/3, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 730 + 722 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 791 + -2309\/3. Find the common denominator of -64\/9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77701 and 4587.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 21 = 3*f - 4, -3*f + 23 = v. What is the third derivative of 8*x**2 + 8*x**4 - f + 3 + 4 wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r + 24. Give z(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 712365 and 798?\nAnswer: 189489090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/63*(-238)\/(-4). Let j be 1\/7 - l\/(-21). Solve -c = 5*r + 25, j*c + 35 - 6 = -r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 2372 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0235, 0.03, 1?\nAnswer: -0.0235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -338? (a) -7\/22 (b) 39 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306644168 to the nearest integer?\nAnswer: 17511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*u + 163 - 150, 2*j = -u - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -5*m + c, -2*c - 194 = m - 6*m. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3db70 + -5?\nAnswer: -3db75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/29, -3\/25, 4\/7 in decreasing order.\nAnswer: 4\/7, 2\/29, -3\/25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a. Let d(x) = -55*x. Give s(d(m)).\nAnswer: -220*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 - -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25*t\/t**(-14\/3))**(-17) assuming t is positive.\nAnswer: t**(-1564\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 q when four letters picked without replacement from {p: 4, q: 3, r: 2, y: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.7 and -5?\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/5 + 369*v**3\/5 - 280*v**2 - 3120*v = 0. What is v?\nAnswer: -20, -5, 0, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2 + 2*h + 5. Let n be 11*(-6)\/(-15) - (-2)\/(-5). Suppose 4*d - 8 = n. What is the least common multiple of d and l(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, t: 3}. Give prob of picking 1 h and 3 t.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, d: 2, x: 2, i: 1, h: 1, q: 2}. Give prob of sequence ex.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -36.59 and 1.\nAnswer: -35.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**6\/6 + 24*a**2 - 42. What is the second derivative of m(x) wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -10. Let z(j) = -671*j**3 - j. Let n be z(1). Let s be n*r\/((-7)\/(-6250)). What is s rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3)*224\/64?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24 - -1)*40\/10. Let x = 90 + l. Is 1*2439\/(-6)*x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 73*j + 119. Let a(s) = -s**2 + 37*s - 47. Let y(t) = -5*a(t) - 2*d(t). Give y(-39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y, -y = -5*c + y + 322. What is the smallest common multiple of c and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/46500 and -67\/40?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o. Give v(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -14) + 16 + -10 - -12.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 204 = -8*w + 4*s, 3*s = 3*w - 303. Let b(n) = -10*n - 32. Let m be b(6). Let q = w + m. Solve -q*a - c + 22 = -4*a, 0 = -c + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5392.9 - 3215.3. Round m to the nearest one hundred.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/15)\/((-1)\/(-5)). Suppose k*u - 255 = -u. Calculate the greatest common divisor of u and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 48, 64, 80, 96, 112?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 41 = 17, -3*d + 35 = -4*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21796\/21 + -1038. What is the third biggest value in 0.05, z, 1, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 5a73?\nAnswer: -5a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 21248276?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 435033.\nAnswer: 3915297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 22. Let f(d) = -12*d + 54. Let x(r) = -2*f(r) - 5*z(r). Let t(p) = -2 + 1 - 4 - p + 6. Calculate 2*t(n) + x(n).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/378 and -13\/55858194.\nAnswer: 55858194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59.3 + -18.7. Let h = b + 71. What is the third smallest value in h, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/60 - c**5\/6 + 11*c**4\/24 - 2*c**3\/3 + 147*c**2 + 13*c. Give d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5804)\/(-24) + 3\/18. Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 30. Let y = -18 + s. Let m be (-864001)\/y - 15\/90. Round m to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16140 divided by 6\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 1. Let y(v) = 4*v**2 + v - 7. Let x(n) = -4*n**2 - n + 6. Let c(l) = 6*x(l) + 5*y(l). Let r be c(1). Is h(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {q: 5, f: 2, s: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -n - 19, -5*a = -3*n - 81. Suppose 5*q + 2 + 8 = -2*r, -2*q + a = -3*r. Solve q*u + 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/4 + p**3\/2 - 277*p. Let s(f) = f**2 + f. Give -c(g) - s(g).\nAnswer: 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -16 + -4 + 12 + -26 + 4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -13, -14, -15?\n\"Answer: -z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzcozccczoccczc. What is prob of sequence ccc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 443, 452, 465, 482, 503?\n\"Answer: 2*u**2 + 3*u + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*p = 16, -2*i + 59*p - 8 = 58*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**6 - a**4 + 1. Let g = 121 - 122. Let u(f) = 23*f**6 - 2*f**4 - 8*f**2 + 2. Let l(p) = g*u(p) + 2*z(p). Find the third derivative of l(q) wrt q.\nAnswer: -2520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104845431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 0.22, 3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - l**3 + 7*l**3 + l**3 - 7*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:16 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 33\/(-9))\/((-72)\/3672). Let u(g) = g + 2. Let c be u(2). Suppose -n = -3*l, d = c*n - l + 6*l. Solve -8 + 27 = -3*o + w, 35 = -n*o + 5*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112 - (0 - ((-5)\/5 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -135 + 115 - (-11 + -2) - ((1 - 0) + 11).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/18)\/x)\/(x\/(x*x*x**(-24)))*(x\/(x\/((x**(-1\/9)*x)\/x*x))*x)**(3\/10) assuming x is positive.\nAnswer: x**(-1052\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lld when three letters picked without replacement from {l: 2, d: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/40 - 2*i**5\/5 + 59*i**4\/8 - 39*i**3 + 3*i**2 - i + 97. Factor h(t).\nAnswer: -3*(t - 3)*(t - 2)*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1.4, 3\/2, 1395, -10, -6, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3530099*r**2 + 1885465 with respect to r.\nAnswer: -7060198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58015?\nAnswer: 5, 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -12 + -19 + (19 - -16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v - 27. What is the remainder when m(-10) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, g: 7}. Give prob of picking 2 g and 1 a.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1215*i - 179560. What is h(148)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32114491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 23*r**2 - 40*r + 44. Let l be j(-21). Let g = 2873 + -1081. Suppose -5*u - 5 = 0, -743 = -l*i + u + g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdd when three letters picked without replacement from udrdxdrd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23183088.3 seconds?\nAnswer: 268.32278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328716560 and 17360?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 54 - 66 = 0. Which is the third biggest value? (a) -0.5 (b) 1\/2 (c) u (d) -230\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59ee (base 15) to base 9.\nAnswer: -28208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*o - 650, 5*l - o - 112 = 518. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*5\/10 - -194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 0 + 0)*(44 - 20 - 22) as f + j*b and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 8*z + 8*z - z + 8*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12778, -25909, -39040?\nAnswer: -52171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 1. Let u(n) be the second derivative of -37*n**4\/4 + 2774*n. Calculate u(a(h)).\nAnswer: -444*h**2 - 444*h - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 4. Let y = 2.7 + f. Let n = y + 0.7. Which is the closest to 0.1? (a) n (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 16937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfiqqxqiixb. What is prob of sequence if?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 1637 = 4*g - 815 - 810, -5*g + k - 18 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*y - 0*y. Suppose 5 = o - 3. Let q(g) = -g**3 + 9*g**2 - 9*g + 11. Let f be q(o). Solve y = -j - f*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2*o - 2*o)*(4 + 3 - 5)*(16 + 3 + 4).\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 14*j**2 + 16*j - 21. Is m(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*g + 363 = -2*k, 0 = -k + 3*g + 133. Let j(b) = k*b - 66*b - 59*b + 1. Let l(q) = 2*q**3 + 7*q - 7. Calculate -21*j(w) - 3*l(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 160835*b**3*h**2 + 9759*b**3 - 2*b**2*h - 4*b - 2 wrt h?\nAnswer: 321670*b**3*h - 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 71*p + 85. Suppose 0 = -2855*v + 2921*v - 2244. Determine c(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(20)\/sqrt(4))**2 + 3 + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -981\/10 and -99 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 5*j. Let c(z) = -z**2 - 11*z - 6. Let o be c(-10). Let p be d(o). Suppose 0 = 2*w - p*w + 6. Calculate the remainder when 6 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let y be (1\/(-5))\/((-4)\/(-10)). Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 4*k**2 - 2*k + 10. Let u be b(4). Let z(n) = -109 + 5*n**u + 109. Let a(p) = 2*p**2. Calculate a(z(j)).\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2841 - 0.0151911202.\nAnswer: -0.2992911202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5 + 7\/3*q**4 + 1\/3*q**2 - 5\/3*q**3 + 0 + 0*q = 0 for q.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18826 by 2.\nAnswer: -9413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*j + 163*j + 88 + 2572 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -7. Suppose 2*l + 2*l + 3*b = -27, -5*l = -2*b + q. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let r = -118.42 + 118.4. Let v = 7.4 - 7. What is the biggest value in v, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16782 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuyuuuuuyuuy. What is prob of picking 3 y?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 150000 = 3*q. Suppose 2*f - q = -0*f. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + x - 4*x + 124 = 0, 68 = 2*q + 3*x. Calculate the least common multiple of q and 784.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/45 + a**3\/6 - a. Let y(l) be the second derivative of j(l). Let m(u) = -114 - u + 114. Calculate m(y(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 10, d: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*l - 0*l + 425235. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + -3 + 2 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1 + (1 + 0 + 1)*(0 + 2 - 1) + 2 - 2 - 3 + 2 + 0 - 4 + 0 - 3 + 1)*(-8 - r + 8) in the form m*r + s and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18389\/195 + -283\/3. Suppose -3*r - 5*g = 5, -r + 3*g = 6*g + 3. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2 + 3*y + 16. Let g be f(5). Suppose 5*l - 179 = g. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 77. Suppose -4*n = -3*c - n, c + 4*n = 20. Sort c, -3, j in increasing order.\nAnswer: -3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.1 (c) 4\/3 (d) 0.2622 (e) 6 (f) -0.1 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 46. Let u(i) = -2*i**3 - 4*i**2 + 12*i**2 - 20*i + 3*i**3. Let x be u(t). Is -2\/261 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-3844))\/((-108)\/(-1674)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(100) + -6*sqrt(100)*1 + sqrt(100))\/(sqrt(20)\/(sqrt(30)\/sqrt(3))).\nAnswer: -20*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d**2 - 17*d + 11. Let x(r) = -5*r**2 + 8*r - 5. Suppose -11*p = -28 - 38. What is p*y(i) + 13*x(i)?\nAnswer: i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50722517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 7*i**4\/2 + i**3\/3 + 211*i + 159. What is the first derivative of q(s) wrt s?\nAnswer: 42*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1773, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 45256967*k**3 - k**2 + 248306552*k?\nAnswer: 12*k**2 - 271541802*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55.5 + -55. Put -2, 1\/3, -0.1, p in increasing order.\nAnswer: -2, -0.1, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 51*p = -24*p - 170, 3*m + 18 = 5*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = 25. Solve 0 = s - j, -p + 5*p + 2*s + 10 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40\/259, -2\/5, -4 in descending order.\nAnswer: 40\/259, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 1216 = 208. Let m = 313 - h. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(468) + -2) + sqrt(468) + ((sqrt(468) + 2)*3 - sqrt(468)) + sqrt(468))**2 - (-2*sqrt(468)*-1 - (sqrt(468)*1 + 1))**2.\nAnswer: 12*sqrt(13) + 22463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -j - 12, -5*j - 10*u + 13*u - 32 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -5 (c) -45 (d) -2 (e) -1 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34183649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*w - 573 = s, -582 = 4*s + 2*w. Let d = -141 - s. Let j(m) = m**3 + 6*m**2 - 7*m - 4. What is the lowest common multiple of d and j(-6)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - s**2 - s - 1. Let o be p(-1). Let u = 26 - 23. Let l be 1*u*10\/(-150). Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 q, and 1 c when four letters picked without replacement from fgggarqfqrffgfffcfa.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - 2*f**4 - 2*f**4 + (-3 + f + 3)*(-7*f**3 - 32*f**3 + 112*f**3).\nAnswer: 74*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u + 6 = 0. Let k(y) = u*y - y - 1 - 2. Suppose 5*j + 1 = 3*a - 0*j, -3*a - 3*j - 15 = 0. Give k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 319*d + 2197. Let w be z(7). Solve -13 = 44*y - w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guu when three letters picked without replacement from {u: 2, g: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9 = -1. Suppose 0*n = 2*n - 152. Suppose 2*g - n = -m*g + 4*y, 3*g = y + 57. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*p**2 + 86*p**2 - 38*p**2 - 6*p to k*p**2 + v*p + a and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 0)\/((-16)\/(-8)). Sort -1, -105, b.\nAnswer: -105, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 - 12*n + 6. Let r(l) = -l**2 - l - 1. Let s(a) = p(a) - 5*r(a). Let w be s(-8). Solve 1 + 4 = -3*v + o, -v - 15 = w*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-3) + 3 + (0 - 2). What is the third derivative of -89*v**5 + 62*v**4 + 2*v + 99*v**2 + 91*v**5 + w*v**4 wrt v?\nAnswer: 120*v**2 + 1488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-2)*(-14 - -13). Suppose 0 = -t - 3 + 13. Let n = r - t. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 11*u - 4. Let l(d) = 2*d**2 - 12*d - 4. Let p(s) = -5*l(s) + 6*q(s). What is the tens digit of p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -396?\nAnswer: 395.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 897213586?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 73840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, w: 2, v: 6, c: 1, o: 3, q: 3}. What is prob of sequence qeov?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -5\/12*z**4 + 0*z**3 + 0*z - 4*z**2 + 0. Let d(m) = 2*m. Calculate t(d(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 350*y**2 - 353*y**2 + 19*y + 8*y. Let b be k(9). Solve 5*r - 5*a - 25 = b, -4*a - 11 = -4*r - 3*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 - 8*n + 26. Let o be k(4). Let b = o + 125. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(147) + 0))**2 + (sqrt(147) - (5 + (sqrt(147) - sqrt(147)*-1))) + sqrt(147) - (sqrt(147) - -1*sqrt(147)*-4 - (sqrt(147) + sqrt(147)*-2)*-3)**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67890 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2085*a**2 - 2 + 2087*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 226555.23 milliseconds?\nAnswer: 3.7759205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 601464258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -7 + 11 + (-27 - 5) + -1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2073290 and -47\/15549675.\nAnswer: 31099350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -576*d - 60. Let v be l(-5). Round v to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53\/3 - 17. Put 0.08, u, -0.5 in decreasing order.\nAnswer: u, 0.08, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 25*y + 48. What is n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + -2*sqrt(2916))\/(5*-5*sqrt(12)))**2.\nAnswer: 867\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 2*m - 3. Calculate w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(833)*6 + sqrt(833) - 2*sqrt(833)*-1)**2 + ((sqrt(119) + -3*1*sqrt(119) + sqrt(119))\/sqrt(7))**2*-5).\nAnswer: -202164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 359 (b) 4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271076 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49215 is divided by 2342.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -758 - -874. Calculate the smallest common multiple of j and 87.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 974400 divided by -32\nAnswer: -30450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -5 + -1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000935075 to 7 decimal places.\nAnswer: -0.0000935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*c - 13*c + 108*c)*(76 + 52 - 83).\nAnswer: 1935*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5\/3 + 80*v**4\/3 - 65*v**3 - 620*v**2\/3 + 860*v\/3 + 400 = 0. Calculate v.\nAnswer: -2, -1, 2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**4 + f + 0 + 2\/3*f**3 + 0*f**5 + 0*f**6 + 0*f**2 - 5\/42*f**7. What is the second derivative of d(h) wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102.9926 + -103. Let m = v - 0.0402. Round m to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Let o be a + 0 + 1 + -1. Suppose o = -3*u - 1 + 10. Solve u*h + h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.1 + 33504375420.\nAnswer: 33504375396.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -13*m**6\/60 + m**5\/30 + m**4\/12 + m**3\/6 + 341*m**2. Give d(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 9*i - 10699. What are the prime factors of i?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (0 + 1))\/(-1). Suppose -2 = j*m - 12. Find the first derivative of 4*l**3 + l**2 - 5 - l**m wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(3\/(-2))\/((-27)\/20)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.414 - 2818.285.\nAnswer: -2830.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2495686 and 101\/14.\nAnswer: 17469802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 + -115. Determine f so that -36*f + 8*f**3 + 4*f**5 + 8*f**2 + 16 + 24*f**3 + 0*f**2 - d*f**4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -35, -2\/3, -4, 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9 - -3.851. Let u = s + -0.241. Let d = u + -0.01. Which is the biggest value? (a) -2\/5 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 + 7*l**4\/12 - l**3\/6 + 5*l**2\/2 - 4*l. Let u be r(-7). Suppose u = -0*q + 3*q. Solve -q*o = -7 - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1700 and 63\/51475.\nAnswer: 3500300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*v - 8, 0 = -v + 4*k - 16 + 5. Suppose 35 = v*q + 5. Let h = q + 9. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/12087 (b) -2.97 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 635 + 634 + 638 - 2319*r**2 - 1907 as i*r**2 + p + w*r and give i.\nAnswer: -2319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 82416421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-12)*u\/u**(-5))\/((u**(-1\/3)\/u)\/u)**(2\/147))**31 assuming u is positive.\nAnswer: u**(-9703\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439361.\nAnswer: 13, 33797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p. Let j(z) = 4*z - 5. Let v(s) = -12*s + 16. Let y(b) = 16*j(b) + 5*v(b). What is y(i(g))?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5375741, -10751475, -16127209, -21502943, -26878677?\nAnswer: -32254411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1564.98 + 31.98. Let y = -1532.5 - n. Let p = 15.83 + -16. Which is the third biggest value? (a) p (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 1)*(-30)\/40. Suppose -5 = f - p. Does 28 divide (3 - 2)*f - -96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*z + 4328 - 3197 = -4053. Is z at most 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 240*h + 1338*h + 0*h**3.\nAnswer: 3*h**3 + 1098*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -62*u. Suppose -5*b - 136 = -3*m, -131 = -4*m - 4*b + 93. Let i(t) = -7*t. Determine m*i(p) - 6*c(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*a**4 - 81321*a**2 - 762917*a - 1.\nAnswer: 624*a**2 - 162642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622 (base 14) to base 3.\nAnswer: 1122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 32*s + 76. Let l(w) = 4*w - 1. Let r(z) = j(z) - 5*l(z). Let y be r(-4). Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.2129 rounded to zero decimal places?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 11*v**2 - 2*v - 10. Give g(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-80)\/(-3400)*85*(28\/440)\/7)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*-8*3\/6 - -3. Suppose 15*a - v = 11*a + 13, 3*a = -2*v + z. Solve 4*b = 5*s + 22, -a*b = -2*b + s - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -73, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*v**3 + 2*f**3 + 93*f**2*v**3 + 563*f*v**2 wrt v.\nAnswer: 6*f**3 + 558*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1984603379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16\/96*-8*(-30)\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 82) + 43 - 2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faf when three letters picked without replacement from {f: 3, a: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00182732 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmis when four letters picked without replacement from {m: 1, r: 1, j: 2, q: 2, s: 2, i: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from yvbheehheyexhxh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145787431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = b + 15, 5*o + 5*b + 12 = 9*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362861*w**2 + 33*w - 23600533?\nAnswer: -725722*w + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + 0.05. Suppose -5*o + 5 = 5*n, 4*o + n + 4*n - 9 = 0. Put o, m, 1\/4 in decreasing order.\nAnswer: 1\/4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + t**3 + 3*t - 3*t**3 + t**3 + 6*t**3 + (4 + 2*t**3 - 4)*(0 - 2 + 3).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (90 - 77) + (-2 - (4 + -5)) + 5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4074 - -4077. Solve 0 = m*u - 4*z + 17, -2*u + 259*z + 4 = 264*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -6, 0.4, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -9. Let k = 30 + w. Suppose k = -3*x - 6*x + 1143. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -79*a**2 + 2*a + 1. Let l = -6995 + 6994. Calculate x(l).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9221671?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 13*c - 8. Let q be j(-12). Suppose 0 = q*a - 15*a + 847. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*294\/245\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 474301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 + 102. Which is the nearest to 0? (a) q (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 3, b: 2, z: 1, n: 5}. What is prob of sequence qnzn?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 - (2 + -1 + -2 + 1) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 5*t - 167 = -15*i, 2*i + 82 = -92*t + 96*t for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 0, s - 4*i - 409 = 211. Suppose -f - 79 + s = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 5:54 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2091883 is divided by 1553?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/49)\/(2\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*sqrt(52).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 7 = -5*l, -2*o = 4*l - 5*o + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 - 183296*y**2 - 733136*y - 733120 = 0. What is y?\nAnswer: -45820, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j - 53 + 20\/3*j**4 + 0*j**2 - 1\/30*j**6 + 0*j**3 - 7\/10*j**5. Find the third derivative of m(g) wrt g.\nAnswer: -24*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 + h - 1. Let t(u) = u**2 + u - 2. Let q be t(-3). Let m = 5 - q. Let y be b(m). Put -1, y, -2 in ascending order.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**5\/60 + f**3\/6 + f**2. Let u be 4\/(-10)*(-25)\/5. Let i(b) = b**2 - 2. Give u*i(d) + 4*h(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -455, -1357, -2705, -4499, -6739, -9425?\nAnswer: -12557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 93*y - 895. Give b(10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/584667 + 389758\/2923335. Factor 26\/15*j + d*j**2 - 4.\nAnswer: 2*(j - 2)*(j + 15)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1 - 24\/18). Let x be 1 - -1*3\/u. Factor -512\/3*b - 512\/3 - 64*b**2 - x*b**4 - 32\/3*b**3.\nAnswer: -2*(b + 4)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1118*k + 23283. Calculate v(-21).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/244 and 25\/32.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 21*j**2 + 41*j + 24. Let f be s(8). Solve -13*z = -5*z - f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/(-24))\/(2078\/(-31170))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 7, t: 5}. What is prob of sequence tgi?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626, -625, -622, -617, -610?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 37340938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1039, 3471, 5903, 8335, 10767, 13199?\n\"Answer: 2432*x - 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141688 + 186937 = 55*f. Is f a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (9 + -2)) + -3 + 11 + 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19. Suppose 0 = 2*r - 5*n + 7, -2*r = 3*r + 2*n + 32. Let p(j) = -j**2. Let w(t) = r*p(t) + v(t). Find the first derivative of w(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*h**2 + 106*h**2 - 407*h**2 - 1859*h**2.\nAnswer: -1914*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -659901435 divided by -5?\nAnswer: 131980287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - 143. Find the common denominator of 23\/11 and (w\/(-104))\/((-6)\/(-4)).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -1, 0.059 in decreasing order.\nAnswer: 0.17, 0.059, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/14 and -87\/1252.\nAnswer: 8764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (53280\/(-2886))\/(51\/(-221))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 + w + 9. Let a(u) = u**2 - u. Let s(y) = -6*a(y) - h(y). Let x be s(-7). Solve -c + 15 = -x*z, 2*c - 2*z - 1 = 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 1\/1260*y**7 + 0 + 0*y - 1\/720*y**6 + 0*y**3 + 0*y**4 + 0*y**5 - 4*y**2. Factor x(q).\nAnswer: q**3*(q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3543 and -956314980.\nAnswer: -956311437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*a + 3, -n - 10 + 13 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8. Let x(f) = 2*f + 1. Determine -b(p) - x(p).\nAnswer: -2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.84480101 minus 226.8514?\nAnswer: -229.69620101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180191054 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**3 + 3*m**2 + 2*m + 4. Let u(o) = 5*o**3 + 4*o**2 + 3*o + 5. Let q(n) = -4*c(n) + 3*u(n). Give q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - y + 4. Let l be p(-3). Let z = l - -5. Suppose -4*a + 3*a - b = -7, -a - 1 = -3*b. Sort z, a, -4 in descending order.\nAnswer: a, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 0*y = 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**27)\/f)\/f)\/f**(-1\/7))\/((f\/f**(-8\/9))\/f*f\/(f\/(f*f\/(f**(-25)\/f)*f))))**(8\/9) assuming f is positive.\nAnswer: f**(-29104\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 5) to base 6\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and -0.7.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 4 in descending order.\nAnswer: 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_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: Put together -13119228 and 4.\nAnswer: -13119224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 2*o**2 + 5*o**3 + 5*o + 2 - 7*o**2 - 4*o**3. What is h(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8832 and 16944.\nAnswer: 3117696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 30*y**2 - 597*y + 36. What is r(19)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -63675.18.\nAnswer: -7641.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 138243.\nAnswer: 1\/138243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240573509 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47025*b*y**3 - 14*b - y**2 + 28*y + 10 wrt y.\nAnswer: 282150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 16*o - 240 = 0. Calculate the smallest common multiple of -16*(133\/38 - (-8)\/(-2)) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*d = -14, -2*d = 4*u - u + 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 2*p)*(p**2 + 2*p**2 - 9*p**2) + (-4 - 5 - 2)*(2*p + 2*p - 2*p)*(-3*p**2 + 2*p**2 + 29 - 27).\nAnswer: 10*p**3 - 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*b*c**2*o + 27507*b*c**2 + 3*c**2*o - 157*c**2 - 23*c*o - 39*c wrt b?\nAnswer: -21*c**2*o + 27507*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/11))**(4\/3)\/(a\/(a*a**10))**(-6\/17) assuming a is positive.\nAnswer: a**(-796\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14519863, -14519862, -14519861?\n\"Answer: x - 14519864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(3) - (sqrt(180)\/sqrt(5))\/sqrt(12))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2982962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhmm when four letters picked without replacement from {z: 1, g: 1, s: 2, h: 3, m: 3, p: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -2*t. Let u(s) = s + 1. Let d be u(t). Solve 5*f + h + h = 24, -3*f + d*h = -8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51e0 - -5?\nAnswer: -51db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 907587?\nAnswer: 907591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1215 - 1405 = -33*g + 1043. Calculate the highest common divisor of 555 and g.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 174 - 173. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from kktkkttkktqqt?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/3 - 510*y**3 - 24874*y**2\/3 - 30690*y - 68728\/3 = 0. What is y?\nAnswer: -11, -4, -1, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:43 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2. Let f(z) = 4 - 15*z**2 - 7390*z - 4 + 7390*z. Determine h(f(c)).\nAnswer: -675*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 90930 = -1469917 - 3133763. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose -z*g = -4*y - 0*g + 6, 0 = -4*y - g + 9. Solve y*s - 2 - 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 3. Let r be v(3). Suppose u + r*u - 89 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.28? (a) 0.051 (b) 1 (c) 2\/9 (d) 2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(7 + -5) - -2509. Suppose -9*g + r - 711 = 0. Calculate the smallest common multiple of 28 and g.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 - 48 + 25)*(2*i - 3*i + 3*i) in the form k*i + u and give k.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53789?\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (sqrt(108) - 3*sqrt(108)*-2) + -3*sqrt(108)*1 + sqrt(108) + -3 + 2)**2.\nAnswer: -72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 18. Let b(k) = -472*k + 3770. Let f be b(8). Let o(g) = -2*g + 17. Calculate f*m(h) - 5*o(h).\nAnswer: -2*h + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 112832.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17729.9 rounded to the nearest one hundred?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 96 = -16. Let y(t) = 2*t - 6. Calculate y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 + f - 1. Let u be j(1). Let p(k) = u*k - k + 2*k + 11 - 12. Let v(r) = r**2 - 23*r - 2. Let m be v(23). Calculate p(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. Let i be (x*(1 - 10))\/(-1). Suppose -2*d = l + 3*d - 13, 4*l = 4*d + 4. What is the greatest common factor of l and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 8 = 21*t + 4*y, 6 = t + 2*y. Let w = 7 + -3. Suppose -27 = -w*z + z. Solve 0 = -t*g + z - 25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -18*g + 322. Let y be p(18). Put -7, y, 2, 3 in descending order.\nAnswer: 3, 2, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3541 - -134567\/38. Let i = 10846 + -216797\/20. What is the common denominator of w and i?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let y be w(5). Suppose 0 = -4*x + 4*t + 1096, -x - t - 824 = -4*x. Suppose -i - y*i = -x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.59 + -7.01. Let y = -7.60368 - b. Round y to 4 decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 18 = -2, 2*d + x = 40. Let k = d - 10. Solve 3*j = 6*p - p - 14, k = -4*j - 4*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 10*r**2 + 11*r - 13. Let l be z(9). Let t be (42\/l)\/((-8)\/(-60)). Suppose -5*a = -2 - t. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1027 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -41*o**3 + 2*o**2 - 1. Let x be m(1). Let h = x - -60. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 5. Let z(b) = 74 - 2*b - b**2 + 10*b - 87. Let t be z(6). Let i be (-5 - t)\/4 - -1. What is r(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3*v + 3. Let s be x(-3). Let q = -5.27 - -5.23. Let t = 5 + -4.6. Which is the third smallest value? (a) t (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 2:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12708253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 6:05 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**3 + v**3 - v**3)*(-54 + 154 + 403) - v**3 + 2*v**3 + 0*v**3 as l*v + g + d*v**3 + s*v**2 and give d.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -19*j**2 - 29*j + 41. Let r(p) = -9*p**2 - 14*p + 21. Let q(x) = 7*r(x) - 3*y(x). Let c be q(-10). Let b = c - -656. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/5 - 8818*q - 44080 = 0.\nAnswer: -22040, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**6\/144 + 17*z**4\/12 - z**3\/2 - 82*z. Let o(b) be the third derivative of d(b). Let n(k) = -21*k + 2. Determine n(o(u)).\nAnswer: -105*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 138?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -9092b?\nAnswer: 90930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 6164*h - 498344 = 0. Calculate h.\nAnswer: -1618, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1811128071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -403.3 - 86.7. Let j = 489.287 + w. Round j to two decimal places.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)\/(1\/(-2)). Let x be ((-1)\/(-3))\/(c\/(-24)). Is 1 + (x - 0) + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -1)*2 + sqrt(847) + (sqrt(847) - (sqrt(847) - -1*-1*sqrt(847))) + -4 + (sqrt(847) - (sqrt(847) + -1 - sqrt(847)) - sqrt(847)) + -4)**2.\nAnswer: -792*sqrt(7) + 13633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*q**2 - 19*q**2 - 4*q**2 - q**3 in the form d*q + h + m*q**3 + o*q**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 + 6 = 0. Let m be (-1)\/c + (-2)\/(-8). Let j be -1*(-15)\/12 + -1. Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 0*d**2 + 2*d**2 + (-1 + 1 + d)*(3*d - d + 0*d) - 21*d**2 + 18*d**2 - 53*d**2 + (-10*d - 3*d**2 + 10*d)*(-3 - 2 + 4).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69314*h**3 + 11362*h**6 + 3*h + 69314*h**3 - 1719*h**2 wrt h?\nAnswer: 1363440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n + p - 15, -5*n + 25 = -p. Solve -3*v + 4*q - n = 17, -3*q + 18 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.5 - -24. Let l = -0.5 - p. Let t = -5.9999995 + l. Round t to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 5*g + 10. Calculate the highest common divisor of 28 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 4, -0.3, 2\/35 in descending order.\nAnswer: 4, 2\/35, 0, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/5*35\/154. Let x = -7 + 12. Which is the closest to k? (a) 0.4 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)\/m**(-5\/6))**(-4\/5) assuming m is positive.\nAnswer: m**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3025) + -2*sqrt(75)\/sqrt(3))\/((sqrt(250)\/sqrt(5))\/sqrt(10) + sqrt(5) + (-1*sqrt(50))\/sqrt(10)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rldd when four letters picked without replacement from {j: 1, l: 1, d: 2, x: 2, r: 1, k: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 795*v**3 - 2*v**2 + 1780*v?\nAnswer: 4770*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*c - 9 - 7, o - c - 10 = 0. Let i be ((-39)\/36)\/(o\/8). Let w = i + 11\/9. Put 4, -0.5, w in ascending order.\nAnswer: -0.5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = n - 86. Suppose -3*x + 115 = -5*v, 3*x + v + v = n. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 208010?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m = 0. Let c be (-45)\/(m - (-2)\/(-6)). Suppose 0*d + c = 3*d. What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-22)*34\/(-204)*-66*-39?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -0.1 (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v + 1556 = 6968. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 403 + 2221 = 4*c, -f - 1351 = -3*c. Suppose 5*x - 4*x - 3*m = c, -2*x + 4*m + 900 = 0. Let h = x + -272. Is 58 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 6*l**2 - 5*l + 3. Let w be k(5). Suppose 4*j + 3*o - 37 = 0, w*j - 22 - 12 = 4*o. What is the lowest common multiple of j and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 take away 10?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 3*u + 81, 2*z = -3*u + 135. Suppose 4*h - 8 = 2*k, -5*k + 4*k - 5 = -3*h. Is (z - (h + -5))\/2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -9. Suppose 4*o - 1 - 19 = 0. Let h = o - l. Calculate the lowest common multiple of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.58 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256241041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 949 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 0*p**3 - 13*p + 0*p**3 + 6 - 4*p**2 - p**4 + 11*p**2.\nAnswer: -(p - 2)*(p - 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*s**3 + 115*s**3 + 119*s**3 + 0*s**3 + 0*s**3 + 2*s**3 + (0 + 0 - 6)*(-6*s**3 + 4*s**3 + 0*s**3) to b + j*s**2 + p*s**3 + l*s and give p.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2) + 15\/30. Let t(w) = -5*w**c - 7*w**3 - 4*w + 4 - 2*w + 9 + 0*w - 2. Let q(m) = -10*m**3 - 7*m**2 - 9*m + 16. What is 5*q(a) - 7*t(a)?\nAnswer: -a**3 - 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2084517ns to minutes.\nAnswer: 0.000000000003474195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25452177?\nAnswer: 3, 2083, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1236174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -12. Suppose -2*q = -5*q, -4*u + 2*q + 112 = 0. What is the highest common divisor of u and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - 53?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1736)\/(-217)*(45\/(-24))\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 6. What is the tens digit of (-48)\/(-2) - -3 - 2*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 5*w**4\/12 + w**3\/3 - 2*w. Is m(-2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(14 - (-425)\/75) + 11?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/61709 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.00103 + 27. Round p to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262\/7 or -38?\nAnswer: -262\/7","meta":{"dup_signals":{},"source":"comparison__pair_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: What is (334\/138 - -2) + (-15)\/((-6900)\/(-40))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88075, 352280, 792621, 1409098, 2201711?\n\"Answer: 88068*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:34 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*y + 254*y = -56 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227245 or 0.1?\nAnswer: -227245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 21*n**2 - 14*n + 31. Let h be t(11). Which is the closest to h? (a) -0.6 (b) -1\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 6*g**2 + 4*g**3 - 4*g**4 - 3*g**2 - 2*g**3 in the form w*g**2 + a + o*g**3 + u*g**4 + c*g and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 2, d: 1, n: 1, r: 1, g: 1}. What is prob of picking 1 o, 1 n, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0274476 rounded to 4 dps?\nAnswer: -0.0274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((6 - 9) + 3 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b - 28880 = -16722 - 14550 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-168)\/(-14) + -32)*-5. Calculate the greatest common divisor of 50 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3599 divided by -3\nAnswer: -3599\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 13*w**4\/12 - w**3\/6 - 2*w**2. Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169427769?\nAnswer: 1169427769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - s**2 - s - 7. What is w(-3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 16*z - 68 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 532 + -467. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/(j\/(j\/(j**7*j))*j))**(32\/5) assuming j is positive.\nAnswer: j**(-1376\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 15 = -2*d, 5*d + 15 = -402*c + 397*c. Solve -5*j - k = -8, -c*k - 18 = -5*j + k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -155, -380, -737, -1250, -1943?\nAnswer: -2840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 87 = -2*x, -30 = -5*c + 5*x + 50. Let j(i) = 3*i**2 - 6*i - 8. Calculate the remainder when j(6) is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*a*i*n**3*v**3 + 2*a*i*n**2*v**4 - a*i*n**2 - 14*a*n**2*v**2 - i*n**3 + 2*i*v**2 wrt v.\nAnswer: 72*a*i*n**3 + 48*a*i*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1185 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.68607ml in litres?\nAnswer: 0.02768607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, -0.52, -14\/2083 in descending order.\nAnswer: 2\/39, -14\/2083, -0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/120)\/(((-1)\/2)\/(-1)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/7488 and 97\/272?\nAnswer: 127296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 5:34 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.05 - -0.05. Let n = g + 2. Is n smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 290 + 437 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43371 + 43373. Let j be 1*(3 + -1)*-4. Let q be 0\/(-2) - (-2 - 3). Sort j, 3, t, q.\nAnswer: j, t, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4462 divided by -269.\nAnswer: 4462\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + -0.04. Let i = a + -0.03. What is i rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Find the second derivative of -w*h**2 + 2*h + h**2 + 0*h - 6*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242862 + 524645 + 388929 = 6844*a for a.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397*b**3 + 952*b**3 + 622*b**3 + 350*b**3.\nAnswer: 527*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/195 and 61\/40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -33*i**5 + 9*i**4 - 7*i**2. Let p(n) = 8*n**5 - 2*n**4 + 2*n**2. Let v(l) = 2*b(l) + 9*p(l). Find the third derivative of v(s) wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4620, -10701, -16782?\n\"Answer: -6081*s + 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 3311836\nAnswer: -132473.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14144 (base 6) to base 12.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3231*b - 78 + 3225*b - 6457*b + (0 + 0 - 3)*(-4*b + 6*b - b).\nAnswer: -4*b - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*a**3 - a**2 + 1708.\nAnswer: -1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.7? (a) 0.2 (b) 8.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)*3 - 16\/(-8). Let a(m) = -171*m**3 - 4*m**2 - m + 1. Is a(f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 + 11*h**2 - 5*h - 3. Let i be g(-3). Solve 5*p - 1 = -3*q, 3*q - i = p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241970641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 10. Let g be 18\/(-4)*(-8)\/l. Let r = 173 + -168. Is r > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 77*h**2 - 393*h + 30261. Give n(77).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 2.3. Which is the closest to 0? (a) -0.16 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 - 1 - 1 + h**3 + h - 1 + 3*h. Give t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828346217 to the power of 1\/2, to the nearest integer?\nAnswer: 42759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34102*j**4 + j - 49352.\nAnswer: 409224*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8) - ((-70)\/12)\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4474322936+-0.3\nAnswer: 4474322935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*1*4*-4)**2 + 4.\nAnswer: 626692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 8:04 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 2*f**4 - 2*f**2 + 22 + 0*f - 2*f**2 - 21 in the form o*f + s*f**2 + p*f**4 + g + h*f**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.066 + -9.934. Which is bigger: n or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:21 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -551*x - 145.\nAnswer: -551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28767037349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/4)\/(-1) + (-209)\/380. What is the fourth smallest value in -8, -0.1, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwwp when four letters picked without replacement from pwpppwp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (-13 - (4 - 10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1228389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2849 + (1 - -4 - 9). Suppose -5*u + f - 939 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**3\/6 - 3*a**2\/2 - a. Suppose 12*q - 5 = 13*q. Determine w(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -215, -302, -425, -584, -779?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (6 - 5) - -13) + 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let c(r) = 9*r**3 - r**2 + r - 1. Let q be c(1). Suppose 4*n + 0 + q = b. Sort -0.2, n, -3 in increasing order.\nAnswer: -3, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322487?\nAnswer: 11, 19, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + 0.2. Let k = 9 + -6. Suppose k*q + 10 = -b, b - 3*b = -4*q - 10. Sort 4, x, q in ascending order.\nAnswer: q, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955024051 is divided by 244?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -13*y + 9*y. Suppose y*v - 196 = 788. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = q + 2*y, 0 = -2*q - 5*y. Let f = 171 + -167. Let h = -0.39 + -0.01. Which is the biggest value? (a) f (b) 3 (c) h (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -8, 3, 5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((1 - 7) + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*s**4 - s**3 + s**2 + 46 wrt s?\nAnswer: -1968*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**(3\/8)))\/p)\/p**(-17) assuming p is positive.\nAnswer: p**(123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-90)*(-1557)\/346?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*o = 150, q - 3*o + 20 + 25 = 0. Let v = 46 + q. Let x be (-28)\/35 + (-522)\/v. Which is bigger: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66709 is divided by 22220?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12151718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o + 5. What is b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*t + 1 = 6, t + 27 = 5*j. Let w = -4 + 6. Suppose -w*n - 54 = -3*r + n, -2*r + 4*n = -26. Solve -3*v + r = -2*l, -v + 5*v = j*l + 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Sort -8, u, 0 in descending order.\nAnswer: u, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (2 + -1)) + 18 + -13 + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let h be ((-3 - 7)\/w)\/(-1). Let j = 0 + h. Let p(f) = -f**3 + 6*f**2 - 6*f + 4. What is p(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67682788, 67682790, 67682792, 67682794?\n\"Answer: 2*d + 67682786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2\/13, 16, -3.\nAnswer: -3, -2, 2\/13, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypy when three letters picked without replacement from ypppyyyppggyyygy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015976343 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 - -784. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 388317566.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -3\/7, 1053, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 d when three letters picked without replacement from mxafxdd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 10. Let r = q + 6. What is the remainder when r is divided by (20\/25 - (-1)\/5)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -10 + 0 + -1 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56232 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 (base 14) in base 5?\nAnswer: 24301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3522 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*j - 0 + 4, x + 2*j = 6. Solve u = -x*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4*b + 10. Let y be t(-5). Suppose 5*a = 2*r - 1179, -2353 = -r - 3*r + y*a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 - 184*v - 44. Let z be j(37). Which is the smallest value? (a) -3 (b) z (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4868 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 7*m**2 - 6*m - 1. Let p be f(6). Let g be (7256\/(-6) - p)*-24. What is g rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z - 27*z = 13*z + 15*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2\/2 + 29*f - 6811. Determine l(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 63*h**2 + 2*h. Let f(g) = -g. Give f(b(q)).\nAnswer: -63*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 102044 = -5*d, 163*v + 2*d = 158*v + 127588. List the prime factors of v.\nAnswer: 2, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 24 = -c, 75*b - 79*b = 12 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 346 - 47. Let k = 307 - g. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose 0 = -2*j + 5*k + 46, -2*j + 3*k + k + 42 = y. What is the greatest common factor of 65 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l\/((l*(l\/(l**42*l)*l)\/l)\/l*l)))\/l))\/l**(-1\/3) assuming l is positive.\nAnswer: l**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-6))\/((-7)\/2 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -291, -1184, -2653, -4680, -7247, -10336, -13929, -18008?\n\"Answer: 3*i**3 - 306*i**2 + 4*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 1\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(0 - -2) + 4. Suppose -11*h - 536 = -145*h. Suppose h*s = o*f + 547, s + 3*f = 70 + 48. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 4. Let a(d) = 1. Let l(g) = -5*a(g) - j(g). Let t(m) = m**2 - 10*m + 2. Let i(q) = -3*l(q) + t(q). What is i(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 2. Let h(a) = -7500*a + 52532. Let y be h(7). What is the highest common divisor of y and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 975512 + -975511.98900101. Let x = 0.011 - d. What is x rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let b(k) = -5*k - 9. Let p(o) = -25*o - 45. Let f(h) = 11*b(h) - 2*p(h). Give f(i) - 6*y(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (588\/105)\/((-4)\/(-50)). Suppose -v*r - 448 = -72*r. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3861.6 - -1.\nAnswer: -3860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 5) to base 15\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -146480.\nAnswer: 3\/146480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**4 - 67519*m**3 + 232*m**2 - 67958*m - 4728 wrt m.\nAnswer: 48*m**2 - 405114*m + 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 18. Suppose 30 = -q + g. Let d be 1\/(60\/q - -3). Solve -3*m = -d*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -98.98. Let g = 0.32 - s. Let u = g - 0.9. Which is the second biggest value? (a) -1\/2 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 1.1. Let w = -0.486 + -1.484. Let d = w - 0.03. Which is the closest to -1? (a) d (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*l - 317 = 0, -l + 0*l - 156 = -q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -10*q - 5. Let x = 1 + 0. What is the greatest common divisor of q and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 2*a = -8*s - 26, 5*s = -a + 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 - 10*r + 4. Is y(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2516 + 164340?\nAnswer: 161622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**4 - 3827*d**2 - 9129*d - 5?\nAnswer: 96*d**2 - 7654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19301661 is divided by 271.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23182, -46363, -69542, -92719, -115894, -139067, -162238?\nAnswer: -185407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10300697779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-759) - (5 - (-34307)\/(-6864))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 119*w - 1146. Calculate f(30).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44530317 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 44*k**2 + 96*k + 306. List the prime factors of u(-23).\nAnswer: 2, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 6 + t - t - t. What are the prime factors of z(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 9*a**2 + 11*a + 15. Let k be i(-10). Suppose -k*p + 577 = 127. Calculate the highest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.007, 3\/5, -2\/11, 4\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21814992?\nAnswer: 2, 3, 197, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 < -0.020638991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 5499?\nAnswer: 76986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 140, 174, 194, 194, 168, 110, 14?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + ((3*-1*sqrt(847) + 1 + 1)*3)**2)*6.\nAnswer: -7128*sqrt(7) + 411838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 2*f + 2 - 3*f + (-25 - 296 - 13)*(2*f + 5 - 5).\nAnswer: -669*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 - -263. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 26*q**4 - 6478*q**3 - 195564*q**2 - 1381352*q + 217168 = 0.\nAnswer: -14, 2\/13, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -26 + 2. Let s be 3\/4 - (-231)\/n. Suppose 48*y = 44*y + 12. Solve s = -y*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/32*2 + (-954)\/(-8). Let g(b) = 4*b**2 - 5*b - 5. Let l be g(-3). Let h = u - l. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13 - -16 - 16)\/(1\/(-3565)).\nAnswer: 5, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 43*i**3 - 2*i**2 + 7*i. Let y(z) = 42*z**3 - 2*z**2 + 6*z. Let l(j) = 3*c(j) - 4*y(j). Find the third derivative of l(n) wrt n.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 145) + -50 + 55 + (-14 - -3 - -2)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.5, 0, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -12. Suppose 4*o - 2*p = n, -2*p - 2 = 2*o + 2*o. Let d(c) be the first derivative of 3*c**2\/2 + 2. Calculate d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -141.\nAnswer: -22\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-3) - (4 + -5 + -269).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - n - 3*n + 37, 2*u = -3*n + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*v - 7 = -2, -5*a + 7 = -2*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16048 and 28086006?\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5820 divide 601977883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 9570.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 9, 28, 63, 120, 205?\n\"Answer: w**3 - w**2 + 5*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = 5*b - 274, 0 = 3*b - 4*o - 170. Let l be (8 - 16)\/(b\/(-3)). Factor 2\/9*h**5 - 2\/3*h**4 - 2\/3*h + 2\/9 + l*h**2 + 4\/9*h**3.\nAnswer: 2*(h - 1)**4*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2\/3)*n*n**(2\/15)*n**(-1\/3)*n\/(n*(n**(-7)*n)\/n))\/((n\/n**(2\/7))**(-23)*(n*n*n*n**(-1))**(-2\/27)) assuming n is positive.\nAnswer: n**(25556\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Suppose -4*p + 3*u + 3 + 1 = 0, -5*u = p - 24. Suppose -3*m - 3*z + 0*z + 3 = 0, -3*m + 19 = -5*z. Solve m*l + 2 = -p, -4*s - c*l = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 3:06 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a*a**(3\/7))**(2\/27)*(a*a*a**(1\/4)*a*a*a)**(8\/7)\/(a*a*a**(-4)*a\/(a\/(a**(-7)*a))) assuming a is positive.\nAnswer: a**(898\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 3. Let l = -81 + 219. Let v = l + -81. What is the remainder when v is divided by u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021183.2 take away -0.27?\nAnswer: 12021183.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 7\/((-7)\/(-3)). Suppose -4*i - 6 = -z*w, 4*w - 5*i + 45 = 9*w. Solve -w - 1 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*f + 13080*f + 666105 = 0 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 95. Let p be b(-15). Let m = p - 89. What is the smallest common multiple of 44 and m?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 69. Suppose -3*p + 2*a = -10, w*p + 8 = 4*a + 20. Solve -2*f + j = -4*j - 17, 0 = -p*f - 4*j - 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.006 and -85286?\nAnswer: 85285.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o + 6*o + 3*o - 6*o. Let b(j) = -87 + 2*j**2 - 94 + 188. Let u(f) = f**2 + 4. Let k(p) = -4*b(p) + 7*u(p). Give v(k(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*n + 40*j**2*n + j*n*t - 2*n*t + t + 29 wrt j.\nAnswer: -3*j**2*n + 80*j*n + n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 + w. Let t(x) = 3*x**3 + 10*x**2 + 3*x - 5. Let i(o) = 4*c(o) - t(o). Determine i(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 189992 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1577 - 2*y**2 + 1577.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2148 - 0.1648. What is the closest to 10 in -0.2, c, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -48\/7427051?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 - 2*n - 1. Let l(v) = 5*v**3 + 2*v**2 + 6*v + 56. Calculate -l(a) - 3*r(a).\nAnswer: -2*a**3 + a**2 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11) + (sqrt(44)\/sqrt(4) + -3 - sqrt(11)))*1)**2*6.\nAnswer: -96*sqrt(11) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**8\/20160 - x**7\/2520 + x**6\/144 - 4*x**5\/15 + 17*x**2. Let n(k) be the third derivative of a(k). What is n(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67dc + 4?\nAnswer: -67d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6088456, -12176898, -18265340, -24353782?\n\"Answer: -6088442*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 205 + 210, 3*v = 2*c - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.029 (b) -0.4 (c) 9.306 (d) 2 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3534 - 4812. Suppose -3*z + 82 + 2 = 0. Let n be o\/(-8) - (-7)\/z. What is the greatest common factor of n and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(945\/(-75))*(-28)\/(-24)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 - 9*z + 7*z - 2*z + 6*z - 3*z**3 to q + g*z**3 + x*z + t*z**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33*(-1 + (-35)\/(-21)). Let s(v) = v**2 + 21*v - 37. Calculate s(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9144*n - 24 = 9152*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/9)*f**1)**16)**(-27) assuming f is positive.\nAnswer: f**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, -3 in increasing order.\nAnswer: -3, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0 - 1\/3*r**3 - 3*r**2 + 0*r + 1\/30*r**5 + 0*r**4. Factor i(b).\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2740 (base 8) in base 10?\nAnswer: -1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 4 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + 5 + 0 + sqrt(7) - sqrt(7) - sqrt(7))) + sqrt(7))*-3.\nAnswer: -6*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1582 - 415. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -0.5, -8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 40*w + 52. Let t(b) = 30*b + 39. Let g(i) = 8*m(i) - 11*t(i). Give g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 37 + 5*u**2 - 33 - 35.\nAnswer: 5*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 12*z + 16*z = -20*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45339 - 2*s**2 - 45339.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 3*b)*(-5 + 4 + 0) - 5*b + 9*b + 9*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-19)*x**33*(x*x\/(x*(x\/x**(-3))\/x))\/(x*x\/x**(3\/20)*x*x))**29 assuming x is positive.\nAnswer: x**(5307\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -0.30399.\nAnswer: 0.69601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 6, -5, -39 in increasing order.\nAnswer: -39, -5, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 32*f = 52*f - 1232 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k = 57*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6711*v**4*x + v**2 + 2112*v + 527316395*x wrt v.\nAnswer: 26844*v**3*x + 2*v + 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 0 - (-2)\/(-1). Let w = -0.204 + -1.796. What is the third smallest value in h, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1\/4, 0.087, 2.3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*o - 2, -v + 3*o = 4 + 1. Solve -v*z - z - 32 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10798726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from nbbbnbbbbbbbnbbb?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.4628 to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - -1 - 64\/(-8). Let q(h) be the first derivative of 1\/5*h**5 + 1\/3*h**3 + 1\/12*h**2 + 11\/24*h**a + 5 + 0*h. What is p in q(p) = 0?\nAnswer: -1, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f - 1. Let c(v) = v**3 - 5*v**2 + 5*v + 7. Let s be 483\/(-15) + 16\/(-20). Let m = 32 + s. What is m*c(x) - 5*y(x)?\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -61298.90524972.\nAnswer: -61299.20524972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/9 - 2426*w**4\/3 - 7282*w**3\/9 + 2426*w**2\/3 + 7280*w\/9 = 0. What is w?\nAnswer: -1, 0, 1, 3640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -5\/149 (c) 0 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:37 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -81. Let h = -71 - u. Find the common denominator of -54\/5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*h = 108*h - 265*h + 485 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -65, -9, 67, 163?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11053920, -22107840, -33161760, -44215680, -55269600, -66323520?\nAnswer: -77377440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x. Let q(i) be the first derivative of 2*i + 0*i**2 - 5\/2*i**3 + 19. Let b(v) be the first derivative of q(v). Calculate b(k(m)).\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -15398?\nAnswer: 18\/7699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -43 + 32 + -28?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3943150 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9)*234\/13. Let h be (12\/(-10))\/(l*(-2)\/10). Which is the nearest to -7? (a) 1\/2 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -486 - -494. Suppose -6*z = -v*z + 344. What is the highest common factor of z and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*j + 66*j**2 - 367*j**3 + 30*j**2 - 75*j**2 wrt j?\nAnswer: -2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 3*t - 5*m, -t + 6*t + 3*m = 286. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - f = -3536, 0 = 10*d + 4*d + 4*f - 12378. What is the remainder when d is divided by 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, 0.03, 0.2, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 36*g + 292 = -11*x, 8*x - 2*g = -212 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -292*c + 1. Let n(b) = -106*b + 1. Determine 6*k(o) - 13*n(o).\nAnswer: -374*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 997 + -998. What is the closest to -15 in -8, i, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, p: 8, h: 6}. What is prob of picking 1 a, 1 i, and 2 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20479292, -40958577, -61437852, -81917117, -102396372?\nAnswer: -122875617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 4930?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**3\/6 + 31*g. Let i(w) = -4*w - 1. Give i(z) - 5*k(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 9*g**2 + 4*g + 2. Give x(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let a(k) = -277*k**2 - 1. Give v(a(u)).\nAnswer: 277*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 9786*d - 4302*d + d**2.\nAnswer: 6*d**2 - 14088*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492352 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdyyjykyddyjryd. Give prob of sequence kd.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.89 - 0.11. Which is the nearest to l? (a) 4 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -52.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imoeooiiedimio. Give prob of sequence midm.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(6)*5 - sqrt(6)) + sqrt(6))\/(sqrt(96)\/sqrt(2)).\nAnswer: -5 + 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c1a0c - -21?\nAnswer: -c19bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*x + 154 - 139, 29 = 5*f + 4*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.32 - -0.4. Let o = 8 + 22. Let s = o + -26. Which is the smallest value? (a) -0.5 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(-312)*2\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104 = -y + 9*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*g + g + 5771 + 498849 = 0. List the prime factors of g.\nAnswer: 2, 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -421*g**6\/30 - 93*g**2 - 429*g. Differentiate k(p) wrt p.\nAnswer: -1684*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 * -0.067865\nAnswer: 11.53705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 + 12*z - 48. Let x(u) = -4*u**2 + 10*u - 40. Let m(f) = 5*o(f) - 6*x(f). Let b(w) = -8114*w**2. Determine b(m(t)).\nAnswer: -8114*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 37178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {l: 1, f: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1 + 2)*(-15 + 19). Suppose 0 = 2*b + 4*r + 101 - 403, 5*b - 797 = j*r. Let d = b - 5. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d (base 16) to base 7.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 292162 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2659985299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 104. Is (-10 + x)*(-2743)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2*(-510)\/150.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*z + 3, 5*l + 3*z = l + 32. Suppose -60 = h - l*h. Solve -3*q - 2*i + 3 = -0*i, 2*q = 3*i + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 1. Let p(m) be the second derivative of -m**3\/6 + m**2\/2 - 12*m. What is the units digit of p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -121.97. Let b = h - 0.03. What is the third smallest value in 5, -0.4, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n - 68 = 0. Calculate the greatest common factor of 68 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - h + 3*h + 198 = 0, 2*h - 132 = -2*m. Let n = m + 601. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((-648)\/441) - 17?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/25? (a) -4 (b) -3\/5 (c) 3 (d) -2\/9 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001002 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 5:19 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (-8 - (41 + -47))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113942.\nAnswer: 2, 23, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -62. Let f(j) = -j**3 - 4*j**2 + 2*j + 4. Give f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*h - 5. Suppose -a + 4 + h = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4235 - -4250. Calculate the highest common divisor of 5400 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149318 is divided by 210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046.3293 rounded to the nearest 10?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*n - 40 = 0, -3 = 4*x - 3*n + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1298 + 2276. Suppose 0 = 8*s - 11*s + n + 16, 0 = -n - 4. Suppose 0 = -s*h - 2*h + g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 + 27*p + 23. List the prime factors of k(-14).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**7\/350 - i**6\/5 + 181*i**5\/100 - 21*i**4\/4 - 5255*i**2. Find z, given that c(z) = 0.\nAnswer: 0, 2, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(204) + sqrt(204) - sqrt(204))*5)\/((sqrt(12) - -3*sqrt(12))*-1*1).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 2. Let y(v) = -6*v + 5. Let t(n) = 8*m(n) - 3*y(n). Let x be t(1). Put 2, 5, x in increasing order.\nAnswer: 2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1014 = 3*g - 4*g - d, -4 = 4*d. Let i be (-160)\/g - (-2)\/21*6. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 86 + 82. Suppose -14*b - j = 28. Do b and -6 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -339 - -350. Suppose s*u - 72 = -7*u. What is the remainder when ((-4)\/12)\/(2\/(-48)) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*k = -3*p + 34, 5*k + 3*p - 34299 + 34260 = p for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/1 + ((-52)\/10)\/((-30)\/75).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmt when three letters picked without replacement from ctccttttcctcccmmc.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 76 - 73 + 6*i)*(2 - 2 + 2) - 3*i + 2*i - i.\nAnswer: 10*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 + -183. Suppose 2*k - 12 = -0*k + 4*h, 0 = -o*k - h - 17. Which is the nearest to -0.6? (a) 0.4 (b) k (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(13) + (sqrt(13) - 5*sqrt(13)*2))*-1*-6)**2*1.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118 - -75 - -38) + (0 + -2 + 17 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10030387 to the power of 1\/2, to the nearest integer?\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -2 - (2 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -h + 5*h - w, 2*w - 1 = -3*h. Let r be (7 + -8)\/(1\/h). What is the third derivative of 2*u**r + 0 + 0 - u**2 - 2*u**2 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 172, -4260.\nAnswer: -4260, -1, 172","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 10:46 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.009 (b) -1\/4 (c) 0.7 (d) -0.2 (e) -15\/142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1572074861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13062.27 millennia in months?\nAnswer: 156747240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 0.5, 0, -3\/20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/12)\/((-7)\/(56\/(-3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/90 and 71\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*c**2 + 10*c**2 - 5*c**2 + c - 7*c**2 - c + (15 - 15 - 5*c)*(0*c + 0*c - c) to q + s*c**2 + w*c and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/8, 0.5, -15390, 1, 0.\nAnswer: -15390, -1\/8, 0, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 106*f + 30 + 105*f - 6*f**2.\nAnswer: -6*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*g = 0, 3 = -2*i + 3*g - 2*g. Calculate the remainder when 47 is divided by 1\/(i*(-3)\/144).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 86. Let w(g) = 3*g**3 + 4*g**2 + 4*g + 4. Let d(c) = 21*c**3 + 27*c**2 + 27*c + 27. Calculate o*w(v) - 4*d(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -11484, -319, -1, -15 in increasing order.\nAnswer: -11484, -319, -15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 5) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4432\/1480 + (-5)\/(15\/9). Let j = u - 143\/7770. Let s(q) = -q**3 - 4*q**2 - q - 3. Let d be s(-4). Is j < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 1 + 7. Let i be (-4)\/(-2) + -2 + 6. Suppose -2*a - i = 4*c, c + 2*a = -a - 4. Put p, 0, c in decreasing order.\nAnswer: p, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2571*w - 120834. Calculate b(47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 67. What is b(6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22029 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*o - s, o + 5 = -s - 0. Which is the third smallest value? (a) o (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5148)\/(-297)*48261\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4301887?\nAnswer: 1601, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from zfzzzzfzzzzzfzzfzfz.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**4 + 4*u**4 + 4*u**4)*(-3*u + u + u).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 30*p - 76 + 37 to the form o + l*p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 1:34 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5\/(a**5*a))\/(a**1*a)**(-10))\/((a**(1\/9)\/(a*(a*a**(3\/7)*a*a)\/a))\/(a**(-3\/4)\/a*(a\/(a**(-2\/7)\/a)*a)\/a*a)) assuming a is positive.\nAnswer: a**(6011\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2747 + -2801 - (-1 - 42).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4 - 208*z**3\/3 - 214*z**2 - 216*z + 55. Find p, given that j(p) = 0.\nAnswer: -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366177 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 12:48 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-18)*(-120)\/324*9\/(-1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*t + 88*t**2 + 5 - 107*t**2.\nAnswer: -19*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2020 (b) -0.95 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43451, -86912, -130373, -173834, -217295, -260756?\nAnswer: -304217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3095 + 18683\/6. Let p = -16 + -2. Calculate the common denominator of z and 70\/(-9) - (-12)\/p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 - 2*p - 20. Let h be d(0). Let a = 3 - h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -6\/11 (c) 1137 (d) 3\/4 (e) 3 (f) -5 (g) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11.5*5\nAnswer: -57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 796813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 11*f - 15. Let p be n(-10). Put p, 3, 5, 1 in increasing order.\nAnswer: p, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821127289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6720, -26875, -60470, -107505?\n\"Answer: -6720*k**2 + 5*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 123*j**2 - 370*j + 4. Determine d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 4*i**2 - 7*i + 17. Let d be b(5). Suppose 9*p = d*p. Solve 0 + p*v**2 - 1\/2*v**4 + 1\/4*v**5 + 0*v + 1\/4*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27576.365 - -27682. Let s = p + -105. What is s rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.74 + 0.14. Put 4, -5, t in increasing order.\nAnswer: -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10073*v + 10081*v - 2*v**2 + 11*v**3 + 4*v**3)*(0*v**2 - 2*v**2 - 2*v**2).\nAnswer: -60*v**5 + 8*v**4 - 32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 6 + 4 + 0*g**3 - 10.\nAnswer: 3*g**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (72 - 22088\/308)*(-35)\/(-26)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 594 + 815*a + 0*a**4 + a**4 + 185*a**2 - 67*a**3 - 53*a**3 + 122*a**3 - 37*a**3 = 0. What is a?\nAnswer: -2, -1, 11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108135\/4 - -1378742\/51. Find the common denominator of 17\/132 and r.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*i + 200531 + 180412 = -330879. Is -7655 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -5. Let g = 1 + j. Sort 0.2, g, 4 in descending order.\nAnswer: 4, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 680286*z**2 - 680277*z**2 + z - 680299*z**2 + 2040866*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.7 + -98.3. Let h = z - -131.000000434. What is h rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by -168.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163566996 divided by 40891749.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10211 + 1211?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 1947, 4\/3 in decreasing order.\nAnswer: 1947, 1.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539883210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20645 and 330320.\nAnswer: 330320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 2)*6 - (2 + (sqrt(425) - (sqrt(425) + 1 + sqrt(425)) - sqrt(17))))**2.\nAnswer: 528*sqrt(17) + 9913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {i: 2, e: 4, t: 1, n: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v - 4. Let o(z) = 86*z. What is o(p(x))?\nAnswer: 516*x - 344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**7\/2520 + u**6\/144 + u**5\/60 - u**4\/12 - 3*u. Let d(a) be the third derivative of i(a). Calculate d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1359 and 23470836?\nAnswer: 70412508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 154 - 434 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 4*f + 19 = 0. Which is smaller: f or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1136 and 869?\nAnswer: 987184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27652446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/28*4)\/((-1)\/(-1)). Factor 0 - 3\/7*u**2 - 2\/7*u + t*u**4 + 0*u**3.\nAnswer: u*(u - 2)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13921 - 10058 = -5*f + h, -5*f + 5*h + 23975 = 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1689 - 4438*x - 4430*x + 8869*x.\nAnswer: x - 1689","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**3 - 41278*x - 2 + 41278*x.\nAnswer: 32*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 5*r - 47, 896*p + 13 = 893*p - 4*r for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 2 + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335225131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 2*a + 1. Let m(z) = -468*z**3 + 15*z**2 - 11*z - 231. Let q(f) = -m(f) + 5*w(f). What is the derivative of q(h) wrt h?\nAnswer: 1404*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 141 = -29*b + 76*b + 16*g, 0 = -3*b - 0*b - 10*g + 464 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723473 is divided by 325?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r. Let p be (1 - 1)*(-1 + r). Suppose 6*w + 20 = w, 2*x - 3*w - 28 = p. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, -2, -17, -26, -23, -2?\n\"Answer: l**3 - 6*l**2 - 4*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2265, 2251, 2213, 2139, 2017?\nAnswer: 1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, g: 2}. What is prob of sequence igg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/9)\/(-11)*(-27)\/(-153)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 7184?\nAnswer: 1\/3592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/140*1)\/(-4*5\/(-40)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4133*f**4 - 1913 wrt f?\nAnswer: 16532*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 40*l**2 + 39*l - 343. What are the prime factors of s(12)?\nAnswer: 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793645 is divided by 362?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-6)\/46) + 2\/6. Suppose 13 = 5*z + 4*n - l*n, -z + 2*n - 1 = 0. Solve -3\/7*o**3 + 1\/7*o**4 - 2\/7*o + 1\/7*o**z + 0 - 5\/7*o**2 = 0 for o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.15. Let o = y + -2.85. Sort o, 3, 2\/5.\nAnswer: o, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/14*714\/60)\/((-26)\/4368*7)?\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/6*834\/139*((-6)\/18)\/1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/7 + 1 + (-3)\/7. What is the highest common factor of 90 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43\/4 - 137\/12. Let q be (42\/(-7))\/(21\/2). Let f = 15395\/9 - 1711. What is the second biggest value in b, -2\/13, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000396390134 rounded to six dps?\nAnswer: 0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 7*x**4 + x**2 - 10*x**2 + 11*x**2 + 4 as d*x**2 + m*x**3 + y + i*x + f*x**4 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*24\/(-9). Let p be m\/(-26) + (-10)\/65. Suppose 4*w - 19 + 15 = p. Is w greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*d**3 + 26*d**3 + 8*d + 29*d**3 - 16*d**4 wrt d?\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 54 = 2*z, z + 14 + 61 = 4*f. What is the remainder when 1405 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**3 + 2 - 589*k**4 - k**3 + 591*k**4 - 5*k**2 + 2*k in the form q + c*k**3 + p*k + j*k**4 + a*k**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 - 131. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 61*t - 305. Let w(y) = -1. Determine 2*a(j) - 610*w(j).\nAnswer: 122*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2459, -20255, -69093, -164675, -322703, -558879?\nAnswer: -888905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.71 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5 - 982*s**4 + 97716*s**3 + 5893496*s**2 - 12170032*s = 0.\nAnswer: -43, 0, 2, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715 + 235 + h**3 + 241 + 232.\nAnswer: h**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (18 + -17 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -258, -384, -510, -636, -762?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 + 2*u**2 + 7*u. Let h(j) = -5*j**3 - 2*j**2 - 6*j. Calculate -4*c(n) - 5*h(n).\nAnswer: n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*b + 5*b - 970, -t - 1619 = -5*b. Suppose 4*i - b = -76. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/5 - 1288*p**2\/5 + 26602*p\/5 + 27888\/5 = 0?\nAnswer: -664, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 + -2354?\nAnswer: -2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -433*g**2 - 3. Let j(q) = 5*q + 2. Give j(i(s)).\nAnswer: -2165*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340980 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 766808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 360178, 720189, 1080200?\n\"Answer: 360011*l + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2833*u + 544*u - 26983 = 11930 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 3:22 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 124981 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:36 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7894, -15718, -23456, -31108, -38674?\n\"Answer: 43*g**2 - 7953*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*f + 3*f = 12, -5*f = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3\/2, 3754, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*s**3 + 301*s**3 - 591*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -15\/2 (c) -20 (d) 3 (e) -0.015\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*(-4)\/(-3). Suppose w = -5*q + d*q + 36, 76 = 2*w + 5*q. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - (-8 + 15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 26\/3. Which is the third biggest value? (a) -0.3 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:02 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g**(-1\/6)*(g\/((g*g*g**(-1)*g*g)\/g))**(-27)*((g**1)**12)**(-23) assuming g is positive.\nAnswer: g**(-1519\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*-173097\nAnswer: -328884.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 11*b + 275. Let o = b - -29. Suppose 3*y + o*z = 12300016, y - 3*z = 1241123 + 2858865. What is y rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*p - 190*p + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708763293 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 45?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 equal to 4691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 178405\/118 and 1513 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176465687\/412 - -428315. Calculate the common denominator of b and -31\/20.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 46\/373?\nAnswer: 46\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 + 142 = -9*i. Let q be (-2 + 5 + i)\/2. Let z be 2\/(2\/3) + 0. Solve q*r + r + z = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6365857.\nAnswer: 6365857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199012 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 24, 46, 76?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44902 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 - 2334*i**3 - 16203*i**2 - 9216*i + 27756 = 0. What is i?\nAnswer: -771, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**6\/72 + c**4\/4 + c**3 - 6. Let i(w) be the third derivative of h(w). Differentiate i(r) wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29270.838 hours in days?\nAnswer: 1219.61825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -0.7. Suppose 3*m = -4*p + 2 - 5, 15 = 5*m. What is the nearest to 1 in -0.4, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((-8 - -1) + -3). Let h = 0 + -1. What is the units digit of y + (h - -1)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 29*l - 357. Determine s(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -1524, -5156, -12228, -23886, -41276?\nAnswer: -65544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-21))\/(29172\/(-4441437))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221122 (base 3) in base 16?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -29*(3 + -10 - (-10 - -13)). Which is smaller: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -11. Suppose 5*f - 2*h = -3*h + n, 2*f = 4*h + 26. Solve -f*g - 1 = o, o - 4*g = -9*g + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -37*w - 33*w - 27*w - 32*w + 128*w. Let x(u) = -3*u - 4*u**2 + 7*u**2 - u + 0*u**2. Calculate z(x(p)).\nAnswer: -3*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 0, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 24\/35?\nAnswer: 24\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/300 - 7*s**5\/200 + s**4\/8 - 3*s**3\/20 + 15*s. Factor r(f).\nAnswer: f*(f - 3)**2*(f - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q - 28. Let m(w) = 207*w**2 + 4*w - 10. Let z be m(q). Let d = z - -189895. Round d to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0 + 4*h - 10 - 3 + 3. Let g be t(8). Suppose 33 = -21*o + g*o. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 81 (c) 0.1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j + 10. Calculate the remainder when 53 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -2 - (-12 + (8 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 54*l**5 - 54*l**4 - 144*l**3 + 16*l**2 + 96*l + 32 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**3 - 378*v**2 + 90*v + 17. Let u(k) = 10*k**3 + 379*k**2 - 91*k - 15. Let y(x) = 8*f(x) + 9*u(x). Find the second derivative of y(w) wrt w.\nAnswer: 12*w + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.391 - -0.109. Put s, 2\/9, -3, -7 in decreasing order.\nAnswer: s, 2\/9, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2075226?\nAnswer: 2, 3, 157, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281923784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89070 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z + 7*z + 9*z**5 - z**3 + (-2*z**2 + 4*z**2 + 0*z**2)*(z**3 + 3*z**2 - 3*z**2).\nAnswer: 11*z**5 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-21)*(0 - -27). Let h = r - -27. Let l(f) = 4*f. What is the remainder when h is divided by l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -840139*m**3 - 1344519 with respect to m.\nAnswer: -2520417*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**9\/15120 + k**8\/4200 - k**7\/4200 + 4*k**3\/3 + 9*k. Let m(q) be the second derivative of g(q). Factor m(c).\nAnswer: -c**3*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611237048 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -528, -1185, -2102, -3279?\nAnswer: -4716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19\/((-114)\/36) - -286 and 1.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.44 from 36.\nAnswer: 36.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/8 + (-12)\/32. Solve -3*d + s = -2, -2*s - n = d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-3)\/(6\/3 + -1). Let z be -6 - (-17 + g) - 11. Let v(x) = x**3 + 5*x**2 - x + 2. Determine v(z).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(42\/(-27) - -2). Solve 0 = -z + 3*x - o, 0*z + 5*x = -3*z + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7816969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/287 and 2\/623?\nAnswer: 25543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123744, -123733, -123716, -123693, -123664, -123629, -123588?\n\"Answer: 3*b**2 + 2*b - 123749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - r - 2, -5*z - 2 = r. Suppose d = 5*j - 94, d - 3*j + j + 88 = z. Let o = d - -125. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2028\/(-140) + (-17)\/(-85) - 4\/(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.592131 decades to months.\nAnswer: 671.05572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 78207 (b) -22\/13 (c) -1\/3 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 2*q)*(-1 + 1 - 2) - 3 + 2*q + 3)*(-2*q + 5*q**2 + 2*q) in the form x + j*q**3 + r*q + f*q**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7827035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -23024444?\nAnswer: 23024445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1300 and 2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44714 - 21261. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0421017 * -0.22\nAnswer: -0.009262374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259*g**6 - 14*g**3 + 5*g**3 - 1892*g**2 - 2*g - 2*g**4 + 10*g**3 + g**3 wrt g?\nAnswer: -31080*g**3 - 48*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 10*o**2 - 2*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 960\/9 - (10\/15)\/1. Suppose 1309 = 5*v - 4*s, v - s - s = 257. What is the highest common factor of v and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, h: 5, l: 2, c: 7, q: 2}. What is prob of picking 3 h?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 2}. What is prob of sequence uuz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, 228\/11, 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**2 - 4*q + 0 - 1\/6*q**3. Calculate the remainder when x(-4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 24. Let m(c) = -7*c - 6. Let n be m(h). Let a = n - 18. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-3)\/12*-6. Suppose -4 = m*f - 5*f. Suppose 0*p - 71 = -3*p + f*v, -2*v + 54 = 2*p. Solve -2*l - 4*w - 32 = -6*l, p = 2*l - 5*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/449307 and -28\/33?\nAnswer: 4942377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a + 3?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/15 + 719*j**2. Let h(w) = 115*w**2. Determine h(g(a)).\nAnswer: 1840*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1710 + 3428 - 12*n**2 + 2*n - 1719 - 3*n**3 as l*n**3 + y + q*n + w*n**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -26 + 2. Is (2\/k)\/(2\/(-1146)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -15*u**2 + 9. Suppose 3*v + 15 + 24 = 0. Let r(c) = 7*c**2 - 4. Determine v*r(f) - 6*g(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.256 - 47.25671138. What is m rounded to 6 decimal places?\nAnswer: -0.000711","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 11*h - 8. Let f = 33 + -23. Suppose 2*c + f = c. Let b be t(c). Let s(p) = p - 1. Calculate s(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34556 + 6?\nAnswer: -34550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + p - p)*(5*p - 4*p - 3*p + (2*p - p - 4*p)*(-5 + 3 + 9)) as m*p + v + f*p**2 and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 2*g - 5*g. Suppose 518 - g = c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 5 - 35*t**2 - 8.\nAnswer: -35*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*n - 254241 = 4*n + 112009. Solve -1471 + n = m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021599047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 39 = 5*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/60 and -3\/10218860?\nAnswer: 30656580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by 70.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2961 = -200*j - 80*j + 1239 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(8\/(-32)). Let u be j*(-3 - (-6)\/3). Find the first derivative of 2*v**2 + 4 - 2*v**2 + 3*v**u - 4*v**2 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 64*j. Let b(k) be the second derivative of -5*k**4\/12 - 192*k + 1. Calculate v(b(a)).\nAnswer: -320*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/8*-3*7. What are the prime factors of 7\/w + (-33112)\/(-96)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -5*g**3 + 105*g**2\/2 + 2*g + 10. Let i be h(-17). What is i rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:36 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 4*v + 1. Let f be g(3). Let m = f + -67. What is the units digit of (-1 - 0)\/(m\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2206\/3 - 30539\/42. What is the common denominator of -131\/12 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23.7825 and -0.22122.\nAnswer: 23.56128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 73*i - 4. What is the remainder when f(1) is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3773, -0.2, -1\/862, 2?\nAnswer: -1\/862","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/9347 - -21020\/10870561. Is u greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30362 + 30361.999846514. Round b to 6 decimal places.\nAnswer: -0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65148 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*v - 558 = 1407*v - 715*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*h = -300, -276 = -5*v + 3*h + 208. Let k = v + -55. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*a**2*f*m - 2*a**2*f - 37*a*f*m**2 + 22*f*m**2 - 3*f + 9*m**2 wrt a.\nAnswer: -14*a*f*m - 4*a*f - 37*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -826, -1573, -2320, -3067?\n\"Answer: -747*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/120 - o**5\/20 - o**4\/12 + o**3 + 20*o**2. Let j be g(3). Suppose 9*p + 95 - 1310 = j. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -387\/5. Which is smaller: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14. Let b be 9\/(-24)*(-4)\/6. What is the nearest to 0.1 in 3, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -339 + 485. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69\/2 - 378\/11. Sort 4, r, -4.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111443944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.77 or 1028\/525?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdddttt. Give prob of sequence ttdt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 190080879 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 + -15 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143 + 167. Solve w*t - 81 = 51*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (-46 + -11 + 58).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4))\/(3\/(-18)). Suppose h = -2*h + x. Suppose 0 = -2*u - h*w + 2, -4*w + 13 = 3*u + w. Calculate the greatest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 16 = 271. Suppose -2*s + s + h = 0. Suppose 0 = -5*u - x + s, 3*u + x + 2*x = 39. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -6*k + 47. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*r - 6952 = -545 + 2503 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2. Let f(d) = -17*d**2. Calculate f(w(h)).\nAnswer: -833*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906 = 4*r - 6*i + 930, 20 = 3*r + 5*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from {k: 1, a: 2, d: 1, w: 1, z: 2, h: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5364.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*-12*(-7)\/56. Factor 2\/5 + 1\/5*i**g - 3\/5*i.\nAnswer: (i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910366569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7114 rounded to two dps?\nAnswer: -5.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 d, and 1 x when four letters picked without replacement from wwddxdxx.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 3*x**2 + 3. Suppose -3*k + 5*a = 2*k - 60, 0 = 4*a + 8. Suppose 5*y - k = 5. Give g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 4*f - 3. Suppose k - 2*n + 11 = 0, -5*k - 21 = -5*n + 19. Let t be h(k). Sort t, 4, 5.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-12) - 3233\/(-636). Solve 4*w - 5*l = 1 + 6, d*l + 21 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3928 or 3886?\nAnswer: 3928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 27*b**5\/80 + b**4\/8 - 7*b**3\/3 - 562*b - 1. Let c(x) = 0. What is x?\nAnswer: -14\/9, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1924619456 to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29134857 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7092 and 17163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 228 = -5*c. Calculate the remainder when c is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 120075*j**2. Let u(t) = -6*t**2. Give u(v(x)).\nAnswer: -86508033750*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16412 (base 7) to base 9.\nAnswer: -6352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 1542\/67?\nAnswer: 1542\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: c5b9 (base 16) to base 9\nAnswer: 76381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124375337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*f - 106*f = -11452. Let n = f + -1136. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1383, -2749, -4115, -5481?\nAnswer: -6847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n + 65. Let d = n - -19. Solve a = z, d*z + 10 = z + 3*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(63)\/sqrt(3))\/(sqrt(270)\/sqrt(10))*2.\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18889 + 27222. Let c = -5754 + y. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4)*1*-2. Let i be (1 + (-1)\/(-2))*2. Which is the third smallest value? (a) f (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -48. Let l = s + -7. Suppose l*o - 4 - 38 = 0. Solve 8 = -3*v - w, -5*v - o = 3*w + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q + 2 - 2)*(-5 + 3 + 4) + 0 + q + 0)*(-5498 + 2441 + 2164 - 4680 - 5115).\nAnswer: -32064*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10157 (base 8) to base 12\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20010 - 2110?\nAnswer: 11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 29 = -j, 5*j - 33 = 3*f + 4. Let s be (-49)\/f + (-2)\/(-4). Suppose 3*d + 203 = s*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -82*h. Let q(g) = 899*g**2 - 1044*g - 116. Let o(s) = 23*s**2 - 27*s - 3. Let v(j) = 116*o(j) - 3*q(j). Calculate v(p(m)).\nAnswer: -194996*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*g = 4*n - 7680, -3*g = -n - 22975. Let a = g + -61365\/8. Calculate the common denominator of 0\/5 - (-23)\/14 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from wwwaiwwxw?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3039 + -939. Suppose p = 21*n + 9*n. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2556 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2716 = 1385*o + 4844 + 7026 + 13114 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43359 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1.4, -3\/8, 661?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from {f: 1, b: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.006398, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-14195.\nAnswer: 7097.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 72. Calculate the remainder when 125 is divided by r(-19).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(14\/(-4) - -1). Let b = 16.22 + -16. Let k = 0.08 + b. What is the closest to k in 5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 209, 691, 1627, 3167?\nAnswer: 5461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 12*k - 10. Let h be r(-7). Solve 0 = h*f - f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0314 + -0.04134. Let l = 23.99 + -24. Let s = l - p. What is s rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(90)\/sqrt(3) + (sqrt(60)\/sqrt(2)*-2 - sqrt(30)))\/((sqrt(384) + (sqrt(384) - ((sqrt(384)*-1 + sqrt(384))*4 - sqrt(384))))*3) + -2)**2.\nAnswer: sqrt(5)\/2 + 261\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 990912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 92*d - 139. What is the remainder when b(44) is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**5\/20 - w**4\/12 - 4*w**2 + 10*w. Let v be b(-7). Round v to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = 6. Let h(b) = b**2 - 6*b + 3. Let f be h(6). Put f, 0, u in decreasing order.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-7) - 4) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/6)*i*i\/i**18*(i*i**21*i*i)\/((i\/i**15)\/i) assuming i is positive.\nAnswer: i**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.4. Let j = -4.32 + 3.755. Let m = j + 0.965. Which is the closest to 1? (a) m (b) 2\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405, -403, -401?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*3*sqrt(170))\/(sqrt(60)\/(sqrt(12)\/sqrt(2))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.1623 rounded to one decimal place?\nAnswer: -64.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95 or -99?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*u - 28. Suppose -4*a - 17 = y, -4*a - 11 = u*y - 2*a. Let b(m) = 6*m. What is b(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**2 + 7*m + 1. Let u(a) = -a**2 + 7. Let i(j) = 7*o(j) - 2*u(j). Let x(q) = -7*q - 6. Give x(i(n)).\nAnswer: -14*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/20 + (-8)\/80. Suppose d = 5*l + 5, l + 652 = w - l. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32139, 32285, 32431, 32577?\n\"Answer: 146*m + 31993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*d - 61 = -6*s, s = d + 14. Let l = -232.3 - -43.3. Let i = l - -193. Which is the smallest value? (a) i (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -26*m**3 + 1183*m**2 - 2351*m + 1167. Let f(h) = 6*h**3 - 296*h**2 + 588*h - 292. Let o(w) = 2*d(w) + 9*f(w). Determine y, given that o(y) = 0.\nAnswer: 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*w + 33 - 44 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 32 = 7. Which is the second smallest value? (a) -0.3 (b) v (c) 0.2 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 268970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/(-216))\/((-7)\/(-9))*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11623 + 11090 = 201*n for n.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from gffffgfffggfgf.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 16, -22 + 0 = -5*l + 3*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 157, 7, -14 in increasing order.\nAnswer: -14, -4\/7, 7, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u + 28. Suppose 0 = -3*s - 7 + 13. Let b(o) = 15*o**2 + 13*o**s + 11*o + 10*o**2 - 37*o**2. Let w be b(-11). What is r(w)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -81*a**3 - 4 - 3 - 5*a**2 + 10 + 0. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -23 - (47 + -41 + -2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffccffcffffcf. What is prob of sequence cc?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7706?\nAnswer: 2, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11118387*q**2 - 9*q**3 - 11118387*q**2.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = 5*n - 5*h, 5*h - 3*h = -n - 100. Let r = -55 - n. Let x = r - 19. Calculate the remainder when x is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 10*s + 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670338?\nAnswer: 2, 3, 167, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -133 + -2?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 275111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/9, -0.1848, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**8\/3360 - 13*d**7\/5040 + 11*d**6\/1440 - d**5\/120 - d**4\/4 + 3*d. Let u(b) be the third derivative of x(b). Factor u(j).\nAnswer: (j - 2)*(j - 1)*(4*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - -20*((-90)\/12 + 7). Let z(m) be the second derivative of 0 - n*m**3 + 5\/3*m**4 - 1\/5*m**5 + 0*m**2 - 23*m. Solve z(k) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/4 - 79*q\/2 - 1057\/4 = 0.\nAnswer: -151, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 8, f: 4}. Give prob of picking 1 f and 1 j.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69036868 is divided by 2083?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2655, -2773, -2891, -3009?\nAnswer: -3127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - -2. Let l = -18 - -35\/2. What is the nearest to 0 in -0.1, l, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 7*l**2 + 2. Let t be w(-7). Suppose 1 = -t*a + 91. Calculate the greatest common divisor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1702022kg in micrograms?\nAnswer: 170202200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5246706 or -32?\nAnswer: 5246706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 102, 271\/5.\nAnswer: -0.1, 271\/5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -67. Let y be (2\/f*6)\/((-6)\/16). Is (y\/((-16)\/4))\/((-2)\/(-382)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4961 = 4*w, i - 481 - 508 = 4*w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let y(k) = -1418*k. Give y(n(w)).\nAnswer: -1418*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14075491*c**2*g**2*h + 2*c**2*g**2 + 8*c**2*g + 2*c*g*h + 470*c*g + 3*g*h - g - 86*h wrt g?\nAnswer: 28150982*c**2*h + 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*h + 12. Suppose -3*g - 12 = -7*g + 2*k, h*k = 2*g - 8. Let s(z) = -z**2. Give s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(17) + -1 + -1)*2 + -5*(2*sqrt(833) - sqrt(833))))**2.\nAnswer: 264*sqrt(17) + 18529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let b(a) = -1161*a**2. Give b(h(k)).\nAnswer: -1161*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 33. Suppose 3*m = -2*w + 23, 4*m + 4*w = s + 4. Let g = 2.5 + -3. What is the third smallest value in m, 4\/7, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k - 5*d, -2*k - 5*d = -3*k + 18. Is (-2)\/(-4)*-23*k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**3\/3 + 7*g + 154. Let i(y) = -1 + 1 - 7*y. Calculate i(p(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 1925?\nAnswer: 1925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19240991 is divided by 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*-0.1.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12*-2)\/(4 - (-931)\/(-228)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.179672705147 + -1454\nAnswer: -1453.820327294853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198 - -246. Calculate the remainder when z is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 - o + 138. Let q be r(0). Let y be q\/24 - 1\/(-4). Let b = y + -4. Solve b*s + 1 = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 - 4. Let x = -4 - -6. Let u = 236.9 - 232.9. What is the biggest value in x, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-1)\/(-2)). Suppose -r = -2*v - 3, 2*v + 23 = -4*r + 5. Let a be ((-2)\/v)\/(6\/(-9)). Put 5, a, j in descending order.\nAnswer: 5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.238 to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 949, -4461, -9871, -15281, -20691?\n\"Answer: -5410*c + 6359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35d (base 15) to base 13.\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -116620 (base 13) to base 7\nAnswer: -3343135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (620\/(-455) - -1) + (-6)\/(-78). Let r = -187 + 126. Which is the smallest value? (a) r (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/8)\/7*474\/(-5451).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3548 (b) 63.888 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29.1005us?\nAnswer: 29100.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 331\/180 + -17\/9. Let k be 0 + (-10366)\/(-1980) + 2. Let f = -16\/55 + k. Find the common denominator of f and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -20, 15, 5 in decreasing order.\nAnswer: 15, 5, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 5. Let n be d(4). Let l be (3\/n - 0)*3. Let y(t) = t - 3. Let i be y(l). Is 1\/13 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -13. Let y = v - 37. What is the third smallest value in 4, y, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -351363*a + 6. Let z be r(-5). Suppose 5*x = l - z + 456820, 260005 = -x + 5*l. Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 4. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.9703 + 0.1903. Let u = s + 24. What is u rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2984856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02224 > 575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**11)\/(r**(-3)\/r) assuming r is positive.\nAnswer: r**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, o: 5, h: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/320 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 2461*b**2\/4 - 4938*b.\nAnswer: b*(b - 8)*(b + 2469)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 249*m - 1820. Let i be x(6). Sort 7, -1, i.\nAnswer: i, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + -5.11. Let y = -0.9 - w. Let g = 5 - y. What is the closest to g in 5, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4530 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-265)\/(-424))\/((9\/12)\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -14490?\nAnswer: -14490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1994.113 to 0 dps.\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 132, 993, 3328, 7875, 15372, 26557?\n\"Answer: 123*l**3 - l**2 + 3*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12614.\nAnswer: 2, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.323092747 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 9731?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:22 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16763159 + -146.6?\nAnswer: -16763305.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 9. Let t be k(6). Suppose -2*o = -4*i + 10, -t*o - i - 12 + 4 = 0. Which is the biggest value? (a) 2\/17 (b) 0 (c) o (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5 - 141*j**4 - 522*j**3 - 246*j**2 + 525*j + 387 = 0. What is j?\nAnswer: -43, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 531 + 264 + 267 - 7*w. Let u(j) = -j**2 + 6*j. What is -3*u(b) - 2*y(b)?\nAnswer: -b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**6\/180 - r**3\/2 + 2*r. Let a(q) be the second derivative of w(q). Let g(f) = 2*f + 6*f - f - 4*f. Give g(a(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 278902289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164980445 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.611746825 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-84)*-7*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(-2*w - 2 + 1 + 3)*(504*w - 11 + 30 - 20) to c*w**2 + v + j*w and give c.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 483, 477, 469?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 4 + 36. Solve -5*c - w - g = -4*w, -2*c + 2*w - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from hqqhhhtqt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175452 + 494548. Round w to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1455\/60 - (3 - 22\/8)) + (-60 - -65)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jviiiijioovivvivvi. What is prob of sequence vo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 223220?\nAnswer: -223202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0032*-54.671.\nAnswer: 0.1749472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and -0.76 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -77*w**3 - 15*w**2 - 34*w - 4. What is the lowest common multiple of c(-3) and 12?\nAnswer: 12252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 75*s**2 - 599*s - 20. Give y(-66).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*z - 6, 0*z - 5 = -2*t + z. Suppose y + 4*c + t = 0, -3*y + 6 = 5*c - 6. Suppose 47 = -5*m + 182. What is the greatest common divisor of m and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) -7 (b) -0.2 (c) 3\/8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-329437.\nAnswer: 5270992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 269197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3\/(-120)*4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**5 - 288*k**4 - 3672*k**3 + 5600*k**2 + 98268*k - 221760 = 0.\nAnswer: -55, -16, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 14. Suppose -69 + 17 = -4*w. Let n be g(w). Let k(p) = 2*p - 22. Calculate the lowest common multiple of k(n) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -123*r + 65. Let c(p) = -p**3 - 6*p**2 + 17*p + 4. Let n be c(-8). What is the hundreds digit of d(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.95306 - -0.04694. Which is the nearest to 0? (a) 12\/17 (b) -2 (c) -0.2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*x - 2)*(-1 - 1 + 1)*(-x**4 - x**4 + 6*x**4).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 104088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j**2 - 7*j + 6. What is f(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 29. Let l = p - 16.22. Let v = 0.12 + l. Which is the third biggest value? (a) -2\/5 (b) -9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/54 + 506*o**3\/9 + 64009*o**2 + 77*o. Factor j(y).\nAnswer: 2*(y + 759)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175*(-140)\/1715*(-7)\/(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 22*s**3 - 8*s**2 - 20*s + 145. What is the thousands digit of d(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*12\/24.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**13\/u)\/u**(-19)*u**11*u*u*(u**(2\/39)\/u)\/u)**(-45) assuming u is positive.\nAnswer: u**(-24600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112637 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**3 - 42*v**2 + 3030*v wrt v?\nAnswer: -30*v - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose 1 = f + 3*j - m, -3*j = 0. Let n = f - 2. Solve 2*u - n*u = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/(-20) + 0 + -1. Let q = 27 + -136\/5. Let r = l + q. Which is the second smallest value? (a) -2 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)\/(h\/((h\/((h**(-11)*h)\/h))\/h)))\/(((h*h\/((h**(4\/3)*h)\/h)*h)\/h)\/(h\/h**(-11))))**(22\/3) assuming h is positive.\nAnswer: h**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 1. Let p(t) = 20*t - 10. Let r(b) = -1. Let x(a) = p(a) - 10*r(a). Give q(x(o)).\nAnswer: -40*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -41. Let p be ((-41)\/82)\/((-2)\/20). Solve p*d = l, -2*d = -3*m - 13 - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 3, f: 4, x: 4, p: 1, q: 1}. What is prob of picking 1 f, 1 p, and 1 q?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23768\/147 - 485\/3. Let r = -0.164 + -0.036. Is r < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3587*q**5 + 6772*q**2 wrt q?\nAnswer: 215220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11035*b + 674. Is l(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(((v*v**6*v)\/v)\/v)*v*v))\/v)**(1\/20)\/((v*v**26*v)\/v*v**(10\/9)*v) assuming v is positive.\nAnswer: v**(-5213\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l - 48 = 5*b, 0 = 5*l + 4*b - 60. Calculate the greatest common factor of l and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -5*k - 13, -7 = -2*t + k. Suppose 26 = -4*z + t*w - 0*w, 3*w - 18 = 3*z. Which is bigger: -9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = 7. Suppose 0 = 2*c - d - 286. Suppose 86 = 5*x - c. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -532.464 and 3.\nAnswer: -1597.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37581 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/5, -2\/15, 598, 3, 3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20187, 90, -91 in decreasing order.\nAnswer: 90, -91, -20187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -960045 and 22886167?\nAnswer: 23846212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -2*n, -4*n = -2*u + 15 + 5. Let a be 6\/(-3)*2\/n. Suppose -2*x + a = -9. Solve 0 = x*g - 2*c + 11, 3*c - 9 + 0 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:21 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/342 + -8383\/1368. What is the common denominator of 52\/9 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2460 and 1476.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q + 20 = 0. Let m(d) be the second derivative of -d**3\/6 - 3*d**2\/2 + 2*d. Is m(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29163 = -5*d + u, -2*d + 7*u = 6*u - 11664. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - 5*l + 4*l + (-11 + 1 - 6)*(0 - 2*l + 0)*(-1 + 0 + 0).\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2765, -5593, -8575, -11789, -15313, -19225?\n\"Answer: -13*c**3 + c**2 - 2740*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = -28. Let d = -12 + p. Sort d, -3, 4.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 162*i - 2*i**2 - 5*i**2 + 458*i.\nAnswer: -7*i**2 + 296*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 191987, -24, 2, 1 in ascending order.\nAnswer: -24, 1, 2, 191987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(19))**2 + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -490755977*h*v - 74154075*v wrt h?\nAnswer: -490755977*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l + 33. Let x(j) = -j**3 + 9*j**2 - 8*j + 5. Let y be x(l). Suppose 0 = 5*c + n - 215, c - 3*c - y*n + 109 = 0. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 14) in base 11?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719487.\nAnswer: 3, 79943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:42 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.091 + -0.055. Let c = u - -0.146206. What is c rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75277438 > 75277448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:20 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 4 (c) -496\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 884220.4 decades in years?\nAnswer: 8842204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.668 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*h - 4303 = -3463 - 12411 for h.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1634*s - 50642. Give q(31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 75\/257, -422, 2\/9 in ascending order.\nAnswer: -422, 2\/9, 75\/257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5248 * 504.\nAnswer: 264.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -6*p + 4*p + 533, -4*p = 2*b - 226. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 4*n**2 - 5*n - 7. Suppose 35 = -4*y + 2*d + 11, -14 = 2*y - 2*d. Let c(a) = -a**2 - 2*a**2 + 2*a + 6 + 2*a**3 + 2*a. Give y*c(o) - 4*t(o).\nAnswer: 2*o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 362690750.6 to the nearest one million.\nAnswer: 363000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7825*m + 11975*m + 4801*m.\nAnswer: 24601*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 8*x**2 + 7*x - 11. Suppose 0 = 3*j - 4*r + 39, -5*r = 4*j - 7 + 28. Calculate d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 6*f**2 + 11*f - 87. Determine w(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 + 11*v**4\/24 + 5*v**3\/3 + v**2. Let o be z(-11). Solve -o = 5*q - 3*x + 3, -2*q + 4*x + 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 108 - 68. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:24 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) + (-112)\/12. Let r(i) = 4*i**3 - 5*i**2 - 9*i - 5. Let o(q) = q**3 - q**2 - 2*q - 1. What is a*o(n) + 2*r(n)?\nAnswer: -n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 6\/43 (c) -63.7 (d) -0.03 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14919835 - 23273212. Let u = h + 8353493.99933. Let f = 117 - u. Round f to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -525333117+-197991\nAnswer: -525531108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -685 + 679. Let a(j) = j**3 + 8*j**2 + 16*j + 28. Let y be a(f). Solve -y*s + 8 = -2*s - 4*v, -s + 3*v = -7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*z = 379 - 61239 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d + 117 = 8*d + 9*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from nnbugnubnunnbpu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 0*q = 5*h - 585, 5*h - 500 = -5*q. What is the greatest common factor of 4795 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/42*(-2733)\/911.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(171)\/sqrt(9) + 3 + sqrt(684) + (sqrt(1216)*4 + 4 + 2)**2.\nAnswer: 391*sqrt(19) + 19497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.15 - -17. Let q = 0.782 - l. Let t = -0.1 + q. Round t to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 1. Let a(i) = 22*i - 39. Let v be a(7). Let r(q) = -69*q + 115. Let y(o) = v*m(o) + r(o). Let z(g) = -g. What is z(y(n))?\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 4*x**2 - 4*x + 3. Let z = -11 + 6. Let b be 8 + -10*z\/(-10). Give a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/12 - 2*h**3 - 9*h**2\/2 + 16*h. Is o(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 866 = 842. Let g(n) be the first derivative of -1 - 27\/4*n**4 + 15\/2*n**2 + q*n**3 + 3*n. Factor g(o).\nAnswer: -3*(o - 1)*(3*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (25 + -27 - 0 - (5 + 1 + -4))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24885 and 6650.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680 = 98*h - 672 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 5*y - 262. Calculate the least common multiple of 766 and o(-14).\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13801 and 11?\nAnswer: 151811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(1331)*3) + 3*(2 + sqrt(500)).\nAnswer: 6 + 991*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/112 - 2\/(-63))\/(2\/6). Which is the closest to g? (a) -2 (b) -1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2158 and 664.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sskkssssskkkkkkk?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, w: 1, y: 4, p: 3, e: 3, c: 2}. Give prob of picking 2 e, 1 w, and 1 d.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 4*l - 31 - 6*l + 13*l. Let v be s(10). Let j = v - -15. Solve j + 11 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 4*d**3\/3 - 11*d**2 + 24*d - 71. Find k, given that p(k) = 0.\nAnswer: 3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75924)\/(-4104)*(-1 - 1) - -1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72\/(-90)*190\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-6)\/(-24))\/((-3)\/12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (516\/(-126) - -3). Let r = 3.91 + 0.09. What is the closest to 14 in r, -0.3, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-358)*(((-42)\/(-36))\/((-1043)\/(-20115)) - 22)?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 3731?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/212 and -70\/159.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -13*a**3 - 4*a**2 + 3*a + 23. Let l(j) = -35*j**3 - 10*j**2 + 9*j + 68. Let s(o) = 3*l(o) - 8*w(o). Give s(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 783581 and 340?\nAnswer: 15671620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3) + -5 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-14 - 15) - -37\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 16) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25\/8 + -391\/120. What is the biggest value in l, -7, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, n: 10, d: 3, e: 1}. What is prob of sequence lndn?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h**3 + h**2 - 1\/210*h**5 + 0*h + 0 - 1\/42*h**4. Factor j(q).\nAnswer: -2*q*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/2 + o**4\/4 - 3*o. What is the third derivative of n(p) wrt p?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - n + 63 = 0, 2*d = 3*n - 8 + 61. Solve f + 3*p + 26 = -4*f, 4*f + 3*p = -d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -17 in decreasing order.\nAnswer: 1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54, -4, -2?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r - 2, -5*r = -5*h + 20. Let s = 9 - h. Does 6 divide s\/(-2*(-1)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.1018 rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 + 189814*j**2 - 3607092*j + 9112896 = 0. Calculate j.\nAnswer: -94926, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80*p**3 + 2*p**2 - 783 wrt p?\nAnswer: -240*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -3. Let o(v) = 2*v**3 - 4*v**2 + 2*v + 1. Let t be o(b). Suppose -2*w = 3*p + t, -w - p = 2*w - 10. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 8*i**2 - 7*i - 5. Let x be o(9). Suppose 5 = 3*k - 5*t - 24, -4*t - x = k. Let n = 1 + -2. What is the fourth biggest value in k, 4\/7, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 9. Let h(a) = 9*a - 17. Let p(s) = 4*h(s) - 7*x(s). Let i be (-2)\/(-3)*(1 + 8). Determine p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 2ab?\nAnswer: 2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 7. Let g = 4.563 + 0.037. Let a = g - 3.6. Is a greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2756\/3, -1\/3, 0.5 in descending order.\nAnswer: 2756\/3, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -142.9069 - -143. Round a to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + b + 45, 2*t - 68 = -3*b + 42. Suppose -36*g + 43*g - t = 0. Suppose 3*r + g*r = 940. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let w(c) = 31747*c**2 - 30*c. Give w(u(r)).\nAnswer: 31747*r**4 - 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2. Let b = -1 - -1. Suppose 18*z - 735 + 69 = b. Let t(u) = -22*u + z*u - 38*u. Determine t(m(y)).\nAnswer: 69*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, i: 1, b: 3, o: 10}. What is prob of sequence qqqi?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140980 = 482673*z - 483680*z for z.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -16. Let x(g) = 0*g**2 - 39 - 8*g**w + 39. Let s(o) = 2*o**2. What is x(s(j))?\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(91) - (sqrt(91) + -4*sqrt(91)*1))\/((sqrt(7) + sqrt(14)\/sqrt(2))*4 + 3*sqrt(7)*2).\nAnswer: 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 31. Find the third derivative of -4*m**4 + u*m**4 - 11*m**2 - 5*m**5 - 9*m**5 wrt m.\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -1506. Is 60 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 132?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205931466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 7*n + 101. Let q be x(9). Find the third derivative of -19*d**2 - 16*d**q - 17 + 27*d**2 - 38*d**3 + 2*d**4 wrt d.\nAnswer: 48*d - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/(-216)*1755\/(-1287).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -15. Let p = 1.05 - -0.05. Let g = p - 1. Which is the third biggest value? (a) -2 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19080 and 9540.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.42 + -1.72. What is the closest to -1 in u, 2\/11, -0.08, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 9:58 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*q + 72*q - 129*q)*(2*q + 2*q - q)*(-3*q + 0*q + 2*q)*(0 + 2*q + 0) as p*q**3 + g*q**4 + m*q**2 + r + d*q and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(200) - sqrt(200) - sqrt(200)) + 1 + 2 - -4*(-1*(sqrt(200) + sqrt(200) + 0) + sqrt(200))**2*5.\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 2:02 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 2*n - 1. Let d be z(1). Suppose -3*q + 123 = -d*q. Suppose 0 = 5*t - q + 1. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.268 + -0.27371. What is z rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-6))*u\/(((u**(1\/6)*u)\/u)\/u)*u\/u**(-3\/7)*(u**1\/u)\/u)\/((u\/((u*u\/(u**(3\/8)\/u))\/u)*u)\/(u*u\/(u**(-2)\/u)))**(3\/5) assuming u is positive.\nAnswer: u**(-809\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593011816.\nAnswer: 2, 17, 256493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 16*30\/40.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 666014*u**4 - 6*u**3*z**3 + 159*z**3 - 3*z**2 + 6060 wrt u.\nAnswer: 2664056*u**3 - 18*u**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1403 + 2?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-52) + (-3)\/(39\/(-167)). Suppose 20 = g*j - 11*j. Solve 2*l = i - j, -2*i = -i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d + 1. Let o(b) = 3*b**2 - 4*b + 3. Let l(r) = -h(r) + o(r). Determine l(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 45605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -16*m - 5. Give g(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let g be h(0). Is g at least -2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giwhtwwhdhwhwtdthhhi. What is prob of sequence tw?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13538 - -13540. Solve 7 = -g - z*v, -11*g = -9*g - 3*v + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(2) - sqrt(1458)\/sqrt(9))).\nAnswer: 1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {b: 3, h: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, -3*b + 5*b + 2*x = 44. What is the lowest common multiple of 8 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*m**4 + 0 + 24\/7*m**2 - 12\/7*m**3 + 32\/7*m.\nAnswer: -4*m*(m - 2)*(m + 1)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -550, -1076, -1606, -2140, -2678?\n\"Answer: -2*d**2 - 520*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5 + 824714*f**4 - 85012137250*f**3 - 1445433138410*f**2 - 1190392603068*f + 2720837054016 = 0.\nAnswer: -16, -2, 1, 206187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -119\/3 (b) -2 (c) 4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 2071b1?\nAnswer: 2071a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1795 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/(-138))\/12*(-2)\/(-2)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7396.2248 rounded to 0 dps?\nAnswer: -7396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5 + 4\/5*s**3 - 8\/5*s**2 - 28\/5*s.\nAnswer: 4*(s - 4)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 132629664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471938503 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5325, -20988, -47091, -83634, -130617, -188040?\nAnswer: -255903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*d*l**2 - 13*d + 5*l**4 - 2 with respect to l.\nAnswer: -36*d*l + 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4268 + -a001?\nAnswer: -5b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2216011 is divided by 14973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(35)*-1)\/(sqrt(21)\/sqrt(3)*-1))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182438 + 365954 + 6*x**3 - 183516 + 2*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 411*t + 3 + 425*t)*(-9 - 2*t + 0 - 4).\nAnswer: -28*t**2 - 180*t + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 6*x = -82. Let j = x - -85. Let f(y) = y**2 - 5*y + 8. Let z be f(j). Solve 6 = -o - z*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*j - 280 = 384 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -117\/8, -0.4, -5 in decreasing order.\nAnswer: -0.4, -5, -117\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -110220222030?\nAnswer: 110220221321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6215753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 42) + (3 - 1 - (24 + 0))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -155 and -2.7358.\nAnswer: 424.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(-1*sqrt(12)*3) + (-6*(sqrt(2299) - sqrt(19)) + -2)**2.\nAnswer: 719*sqrt(19)\/3 + 68404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8401 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 10986.10715 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1278 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-7)*s))\/s**(-8)*s**(-9)\/s**(-6) assuming s is positive.\nAnswer: s**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 15) to base 13.\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4)*(-1)\/(-10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446380 rounded to the nearest ten thousand?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-44)\/12)\/(2\/(-114)). What is the greatest common factor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0 - 3. Suppose u = r, -4*u = -r + l*r - 24. Solve -3*j = 3*i + 3, 3*i = u*j - 0*i + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**2\/2 + 9*h - 24. Give t(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/63*-8*(-1)\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q*q**(8\/5))\/q)\/q))\/(q\/q**(-10\/9)))\/(q\/(q*q**(2\/5))*q*q*(q\/q**(7\/3))\/q) assuming q is positive.\nAnswer: q**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39553?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -68. What is the remainder when c is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqigqyw. What is prob of sequence ig?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 182 = 4*z, 5*z - 2*d = -0*d - 226. Let a be z\/(-8)*(-1)\/2 + 3. Suppose -s**2 - a*s**4 + 0 + 0*s - s**3 = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69768 or 69771?\nAnswer: 69768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = y + x, -2*y + 7*y = 2*x - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46534*l + 60353.\nAnswer: 46534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, j: 1, m: 1}. What is prob of sequence ok?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, -46, -31, 22, 125, 290?\n\"Answer: 2*w**3 + w**2 - 28*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113371007?\nAnswer: 311, 364537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**4 + 1301070*o**3 - 19516800*o**2 + 97585250*o - 162643125 = 0?\nAnswer: -260229, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4203 is divided by 352.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (342\/(-24))\/(-21*(-1)\/28)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*u - 3242, -3*u + 5573 = 3*r - 4141. Suppose -r = -l + 2*q, -4*l + 6476 = -2*l - 3*q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j + 104. Let p = -63 - -56. Does 4 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 3 + g - 4)*(-12 + 20 + 21) - 3 + 2*g + 3 to the form m*g + p and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*k**2 - 64*k**2 + 63*k**2)*(3 + 1 - 2)*(2*k**2 - 4*k**2 + 3*k**2) to i*k + n*k**2 + g*k**4 + z*k**3 + s and give g.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5. Let w be l(-4). Put 4, -1, -3, w in decreasing order.\nAnswer: w, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/c)**(15\/7)*(c**2\/c)\/c**(-7) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95970970.\nAnswer: 2, 5, 37, 259381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -285 + 1479. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 - 12*r**2 + 16*r - 7. Calculate d(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2*u**3 - 16*r**2 + 88*r*u**3 + 1327*u**3 + 3*u wrt r.\nAnswer: 4*r*u**3 - 32*r + 88*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/2 + 2*a**3\/3 + 4*a**2 + 3*a - 17. Find the second derivative of w(n) wrt n.\nAnswer: 12*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i, -12*f + 84 = i - 0*i for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -24210*m**2 - 269*m - 538. Let z(b) = 269*b**2 + 3*b + 6. Let x(d) = -3*u(d) - 269*z(d). Let y(s) = 13*s. Give x(y(f)).\nAnswer: 45461*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1\/339*-3). Let m = o + 170. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-15)*(-10)\/(-3))\/(456\/342)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -104. Let m(i) = -38*i**b + 16*i**2 + 15*i**2. Let u(k) = 6*k. Determine m(u(h)).\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, 2, 52, 4, 0 in ascending order.\nAnswer: 0, 2, 4, 5, 15, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 12*i - 16*i**2 + 12*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {l: 1, j: 12}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-104) + (-24)\/(-156). Solve 0 + 1\/2*g + 1\/4*g**4 - 3\/4*g**2 + k*g**3 = 0 for g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 12. Let s be l(-13). Let h be 4\/(-3)*s\/(-18) - 2. Which is bigger: 1\/99 or h?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194 and 3880?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -327752 - -2294266\/7. Let 9\/7*t**5 + 8\/7*t + 27\/7*t**4 + 0 + x*t**3 - 4*t**2 = 0. Calculate t.\nAnswer: -2, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 0 + -13 - 1) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 4:12 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**4 - 19*w**3 - 92*w**2 - 98*w - 3. Let v(k) = -2*k**4 - 2*k**2 + 2*k - 1. Let f(d) = -3*v(d) + z(d). Factor f(s).\nAnswer: -s*(s + 2)*(s + 4)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1709814, 1709830, 1709866, 1709928, 1710022, 1710154?\nAnswer: 1710330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28.23641 and 0.0555?\nAnswer: 28.18091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 17 - 1273 = 0. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -137, -153, -95, 55, 315?\n\"Answer: 3*f**3 + 10*f**2 - 123*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34222 by -71.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 5 (b) 2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -199, -263, -307, -325, -311, -259?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*o**2*p - 45*o**2 + 20*o*p + 173*o + 1180942624*p wrt o.\nAnswer: 134*o*p - 90*o + 20*p + 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -492 - -515. Let m = -197 - -450. Calculate the greatest common divisor of m and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 162 = -698. Suppose -20*i - f + 1470 = 0. Calculate the remainder when i is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29182, -233572, -788360, -1868746, -3649930?\nAnswer: -6307112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4 and 47\/1646.\nAnswer: 3292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - l + 40, l + 56 = 5*c. Suppose -k + 24 = 2*o, -7*o + 5*k = -6*o - c. What is the highest common divisor of o and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(2*sqrt(78) - sqrt(78)))\/(-4*sqrt(18)\/sqrt(3)) + -4).\nAnswer: -4 - sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4217 (base 9) to base 7.\nAnswer: 12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1344)*-3 - sqrt(1344)) + sqrt(1344))\/((sqrt(504)\/sqrt(9)*5)\/sqrt(8)).\nAnswer: 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -87. Find the second derivative of 8*n**g + 5*n + 13*n**2 + 5*n wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12100559 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(7)*2*5.\nAnswer: -30*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-15))\/(5296\/(-59580))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10780.5 - 10780. What is the second biggest value in z, 4\/5, 3\/11, 1\/5, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6, r + 2*d + 2 = -1. Determine h so that 2*h**3 - 4*h**2 - 2*h**3 - 2*h**3 + 6*h**r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 9*v**2 + 8*v - 6. Give r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176043185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-42))\/(-42*(-3)\/27)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**4\/4 + 8*k**3\/3 - 3*k**2 + k + 1. Let c = 2205 + -2198. Give j(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 1 + 2)*(3 - 3 + 2)*(-47*i**3 - 20*i**5 + 47*i**3 + (-i**2 + i**2 + 2*i**3)*(-2*i**2 - 4*i**2 + 5*i**2) - 3*i**5 + 5*i**5 - 3*i**5).\nAnswer: 414*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 + (-4)\/14. Suppose -w - 2*w + 51 = f. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**4 + 11 - 2*k**2 - 2*k**3 + k**2 - 1 - 3 to q*k**3 + z*k**4 + o*k**2 + v*k + w and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -9 + -16 + 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 - 160*c**4 - 944*c**3 + 1848*c**2 + 5868*c + 3240 = 0.\nAnswer: -6, -1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 15 + 508*s**2 - 271*s**2 - 236*s**2)*(-s + 0*s + 2*s)*(4*s - s - 2*s).\nAnswer: s**4 - s**3 + 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*w - w + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/3 - 3644*l**4\/3 + 1637816*l**3\/3 + 20082220*l**2\/3 + 45554726*l\/3 - 67271120\/3 = 0.\nAnswer: -8, -5, 1, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {f: 2, g: 5, m: 1, o: 10, s: 2}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = -0*l + 4*c, 3*l + 3*c = 24. Let j(w) = 2*w**2 + 34*w - 116. Let t be j(-20). Solve -4*y + t*x + 8 = 0, 2*y + l*x = -2*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -53, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(0 + 2)\/((-2)\/5). Suppose 4*s = 2*h + 9*s - 185, 380 = o*h - 4*s. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3450*m - 3448*m + 12, 13*a - m - 75 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/420 and 107\/15000.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3, 3*g - 4440 = -0*h - 2*h. Suppose -5*r + g = -82. Find the third derivative of -24*y**5 - 5*y**5 + 307*y**2 - r*y**2 wrt y.\nAnswer: -1740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3258 rounded to two decimal places?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + ((-18)\/(-3))\/(2 - 0). Suppose -s*i + 0*i = 4, -2*n - i = -3884. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y - 1. Let u(g) = -g**3 + 4*g**2 - 4*g + 14. Calculate 4*i(z) - u(z).\nAnswer: z**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(5\/4)*c*c)\/(c**7*c))\/((c*c**(9\/5)\/c)\/(((((c*c\/(c\/(c*c\/(((c\/c**(-7))\/c)\/c*c)))*c)\/c)\/c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-231\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -20. Let v be 2*n*39\/26. Suppose -4 = -5*m + v*m. Calculate the greatest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.3028 decades to millennia.\nAnswer: 7.823028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -68 (b) -3\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 18 - 16)*(80 + 2*h - 80).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 851.9389 + -852. Let r = 33.5691 - 63.7302. Let m = r - s. What is m rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 122647384.3?\nAnswer: 122647380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6548 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 15*j - 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**2 + 586670*x - 17209084445 = 0.\nAnswer: 58667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 8. Let c be m(-4). Let b(u) = u**2 + 4*u + 3. What is the units digit of b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653700.6 nanometers in millimeters?\nAnswer: 0.6537006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 53. Calculate the smallest common multiple of 11 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k - 4, -4*b = 2*k - 46. Let t = -27 + 38. Is b greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -910161759*w**4 - 796253398?\nAnswer: -3640647036*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 13724?\nAnswer: 288204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51093.59 + -50576. Let s = 522 - v. Let w = s + -1.41. Which is the third biggest value? (a) 1\/8 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + 576762\/6111 - (-2 - 88\/(-42)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 9. Give p(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/8 - 15\/(-17). Let d = 6 - 1. Which is the nearest to 0.1? (a) -4 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*n + 2*c - 4*c, 4*n + 3*c - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r + 2. Let u be x(0). Suppose -g + h = g - 169, 5*g = -u*h + 445. Calculate the remainder when g is divided by 300\/35*7\/2.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-105)*((-12)\/176)\/((-13)\/52)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1105 = 75*n + 95 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) + 7 + 481\/(-65). Let m be (-8424)\/8496 + (-2)\/(-2). Which is greater: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -221010023012?\nAnswer: -221010023021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2884 = -16*u + 9804. Let g = u - 272. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27854.89 centimeters in meters?\nAnswer: 278.5489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1706, -3221, -4780, -6377, -8006, -9661, -11336, -13025?\n\"Answer: z**3 - 28*z**2 - 1438*z - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5532 - 988. Suppose -15*q - j = -23*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(6*(sqrt(119) - (sqrt(119) + (sqrt(119) - sqrt(119)*-2*1))))\/((sqrt(252) + (sqrt(252) - 1*sqrt(252)))*6))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) -226 (c) -1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -17 in increasing order.\nAnswer: -17, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y - 2. Let h = 4.2 + -4. Let j = -79 - -78. Which is the nearest to j? (a) y (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155426610*k**4 - 328933055*k.\nAnswer: 1865119320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10474 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 divided by 2?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -2.04. Let y = l + 2.68. Round y to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 - 5*t - 9. Let s be w(-3). Let o be -2 - (634\/4)\/(s\/6). What is the highest common divisor of 35 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6017692 (base 10) in base 9?\nAnswer: 12281644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, h: 2}. Give prob of sequence hwh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -155, 43?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = -70 - 67 - 94 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/3)))\/c*c**(-11)\/c)**(2\/11) assuming c is positive.\nAnswer: c**(-76\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Let l(g) = -5*g**3 + 4*g**2 + g - 7. Let y(a) = -5*a**3 + 3*a**2 + a - 6. Let h(x) = s*l(x) - 4*y(x). What is the tens digit of h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -140*s**5 - 15965*s**4 + 1105300*s**3 - 6870325*s**2 - 325810*s + 493640 = 0.\nAnswer: -164, -2\/7, 1\/4, 7, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 179775053 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 16. Suppose 2*a = 4*s + 3*a - 133, 20 = y*a. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107*s**2 - 11 + 0 + 77*s**3 + 10.\nAnswer: 77*s**3 + 1107*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*a + t, -3*t = 2*a - 4 - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0*a**3 + 11*a + 8*a**3 - 11 + 4*a**3. Suppose -u - 10 = 4*u. Let p be 3 + u + -3 + 0. Let b(m) = m**3 + m - 1. Determine p*h(l) + 22*b(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 22*y = 6. Let f be 4 + 2\/(y\/(-5)). Let m be f*-3*(2 + 15). Which is smaller: m or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 34?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -248 + 352. Suppose -4*y + 8*y - o + 88 = 0, -u = 4*y - 5*o. Which is greater: y or -111\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 1 p when three letters picked without replacement from ppxpxipxppmp?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59760337289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*z - 202*z**2 - 20*z**6 - 130*z wrt z.\nAnswer: -2400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2.5 (c) 1 (d) 0.068 (e) 0.080571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from kffkhhffkkhhhh.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3 - 3*l - 7 + 5 + 4*l**2. Is j(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 868, -4, 1, -1, -17, 3.\nAnswer: -17, -5, -4, -1, 1, 3, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 57 - -18) + 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6914548 and 1420.\nAnswer: 34572740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Suppose q - n + 586 = 3*q, 12 = v*n. Is (q\/(-12))\/(3\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -232238407 and 45684.\nAnswer: -232192723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from ddgqqaqqdxqdgg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 21. Suppose 3*h + 740 + 169 = q. What is the common denominator of 119\/10 and (-1 + -2)*h\/54?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3116 + -2456. Suppose 17 = 3*i + 2. Suppose -i*o = o - g. Calculate the highest common factor of 44 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000260919774 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6 - (12 - 216\/18). Put 3\/5, -2\/7, 2, v in descending order.\nAnswer: 2, 3\/5, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 3:01 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 17*c**2 - 75*c - 35. Determine t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaan when four letters picked without replacement from {n: 10, i: 1, j: 2, a: 3}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 o when four letters picked without replacement from oooozozooooooozooo?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/60 + a**4\/6 + 47*a**2 - 60*a. Let c(j) be the first derivative of k(j). Find q, given that c(q) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away -156928?\nAnswer: 156915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 at least -14976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 4*b + 182 = 0, -5*k + 173 = -b. Calculate the remainder when k is divided by 280\/15 - (-4)\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 848776210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = 5*g, -m - 5*g + 1 = -2*m. Calculate the remainder when 34 - m - (-2 + 3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.3 + -6.3. Let x = 5.3 + -5. Which is the nearest to -0.1? (a) l (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.526, 4\/5.\nAnswer: -0.526, 0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 5 - (7 - 4 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwhh when four letters picked without replacement from {w: 3, h: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 80*k**5 + 575*k**4 - 3070*k**3 - 16620*k**2 - 17640*k = 0.\nAnswer: -147\/16, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23132, -23212, -23346, -23534?\nAnswer: -23776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022211 + 1010?\nAnswer: 112100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5893677 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 - 10920*m = 0. Calculate m.\nAnswer: -2730, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191815.776us to days.\nAnswer: 0.00000222009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51069.6 and -109.0488.\nAnswer: 50960.5512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/29)*c**(-9)\/c*c*c*c**(-4\/11)*(c\/(c\/(c\/((c\/(c\/(c*c**(5\/6))))\/c))))\/c assuming c is positive.\nAnswer: c**(-17471\/1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 13591\nAnswer: -20\/13591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 6*a**2 + 9*a + 1. Calculate u(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7\/2)*j)**(-1\/38)\/(j\/(j*j**(-2\/37))*j*j*j**(-6)) assuming j is positive.\nAnswer: j**(11207\/2812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10*r - r = 2*r. Solve -21*k + 7 - 112 = r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/6 of a millennium in months?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 - 15*r**2 - 5*r**2 - 3*r**2 + r**2 + 0*r**2 + (-4 - r**2 + 4)*(-2 + 0 + 4) to the form g*r + k*r**2 + u and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**4 + 15*p**3 - p**2 + 11*p. Let t(c) be the third derivative of c**7\/210 + c**6\/40 + c**4\/12 - 2*c**2. Let w(g) = 2*k(g) - 11*t(g). Factor w(j).\nAnswer: -j**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 8*q**2 - 5*q - 2. Let c be j(-8). Let f be (-14)\/63 - c\/(-9). Suppose -u + 3 = 2*u + f*x, 2*u + 2*x = 2. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 145*v**5 + 7575*v**4 + 57590*v**3 + 50160*v**2 = 0.\nAnswer: -1254\/29, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 + 2852 - (-36)\/(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -55. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.33 - 0.443. What is t rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/(-20))\/((-2)\/8). Suppose 2*r - 22 + 8 = 2*m, -4*r + f = 3*m. What is the remainder when 42 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 24*t + 27 = 0. Suppose -5*x = -47 - 23. Suppose -x*m = -t*m - 50. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1123482, 1123481, 1123480, 1123479, 1123478?\nAnswer: 1123477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 106, 149, 220, 325, 470, 661?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*b**2*r**3 - 36*b*o**2 + o**2*r**2 + 19*o*r**3 + 3*o*r wrt b.\nAnswer: 30*b*r**3 - 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.1, 2\/15, -5, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.47761 millennia in decades?\nAnswer: 347.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from qotttttqqaqroqtqoo?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 6*h**2 - 7*h**2 + 9*h**2. Let p(u) = -u + 3. Let l(m) = -2*m + 7. Let k(f) = -3*l(f) + 7*p(f). Give k(q(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 567.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (699 - 699 + 5*y**3 - 8*y)*(0 - 2 + 3).\nAnswer: 5*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/(-406))\/(6\/77)*83\/(3486\/(-168))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/24 + u**2\/2 - 5. Let f(q) be the second derivative of v(q). Let l(w) = 12*w**2. Calculate f(l(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - sqrt(19)*-1)*-4 - sqrt(19)) + 5 - (-5*((sqrt(114) + sqrt(114)*1 + sqrt(114) + sqrt(114) - sqrt(114)) + sqrt(114)))\/sqrt(6))*-5.\nAnswer: -55*sqrt(19) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 29 = 25*l + 5*v, -4*l - 2*v + 18 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2366 - 2359. Solve 0 = h*n - 16*n - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.01 - 30.1. Let g = 0.09 + c. Let n = -15.0000006 + g. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21768 + 21766. Which is the second smallest value? (a) 2.1 (b) h (c) 9 (d) 0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -172032700500*q**3 + 172034555400*q**2 - 1854905*q + 5.\nAnswer: -5*(q - 1)*(185490*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*v**3 + 559*o**3*v**2 - 9*o**2*v**3 + 3*o**2*v**2 - 24*o*v**3 wrt v.\nAnswer: 6*o**3 - 54*o**2 - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 47. Calculate the common denominator of -59*(2 - (-36)\/(-20)) and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 5. Suppose -3*f - l*g = f + 17, f + 5*g + 23 = 0. Suppose -7*i = -f*i - 355. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 0*q - 1 - q - q + 5*q**2. Let j be t(-1). Sort j, -3, -5 in decreasing order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 3*h + 7 + (3 + h - 3)*(1 - 1 + 1) - 2 + 2*h + 2 + h + 1 - 1 - 1 + 1 - h + 0*h + 3*h + h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*a - 39, 3*a - 35 = 2*g - 1. Suppose -3*d + 2*d + a = -2*l, -4*d = -l - 18. Let m be -1 + (-4)\/(2\/l). Solve 0 = m*s - 6*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(1100) + 0 + 0 + -1 - (sqrt(1100) + -1 + sqrt(1100) + -1 + -2*sqrt(1100)*-2 + sqrt(1100))))**2.\nAnswer: 17280*sqrt(11) + 1426176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838.2412ng to tonnes.\nAnswer: 0.0000000000008382412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 739040680 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10405 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 1 - 2 + 2)*(0*q + 2*q + 0*q).\nAnswer: 4*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 29*s**2 - 6*s. Let j(r) = -682*r - 469*r + 1320*r - 624*r + 2205*r**2. Calculate -455*i(u) + 6*j(u).\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265228 - -511667. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k + 22. Let i be h(-4). Suppose 0 = -j + i*f - 2, 4*j - 13 = 4*f - 3*f. What is the lowest common multiple of j and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3598716394.\nAnswer: 2, 7, 13, 19, 139, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*y**2 - 3\/2*y**3 + 0 + 1\/4*y**4 + 3\/2*y.\nAnswer: y*(y - 6)*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/12 + 2\/(-8). Let r = a + -1. Sort r, 1, 4 in increasing order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*(2 + -11). Let u be 9\/f - 51\/(-4). Let y(q) = q**2 - 8*q - 11. Is y(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 53209065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -38, -116, -246, -446, -734, -1128?\nAnswer: -1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6570 by -6.\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 - 8 - (-2 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 7*u + 5 = -a, -2*u = -4*a + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5395*r + 1 - 2 + 11106*r + 1 as m + x*r and give x.\nAnswer: 16501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*a - 14464, r - 2*a = -a + 3616. Calculate the greatest common factor of r and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/22913259 and -26\/285?\nAnswer: 114566295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6324 and 6697932.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84837 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (4*1 + -2). Let b be (2 + 6\/(-4))*p. Let h = 2 - 2. What is the closest to h in -1\/5, 2, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 299.1084 millilitres?\nAnswer: 0.2991084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 + 10\/(-4). Let s = 4 - 2. Let w = s + -5. Is w at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/52*65\/10. Let p(d) = 707*d - 7. What is the hundreds digit of p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 11721248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5302221?\nAnswer: 3, 1767407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4161, 8320, 12473, 16614, 20737?\nAnswer: 24836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479024 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - i = -0*i + 22, 0 = 2*v - 5*i - 2. Let r(y) = -4*y - v + 3*y**2 - 4*y**2 - 2 - 4*y. What is the remainder when 7 is divided by r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(2*v - v + 0*v) + 14*v - 14*v - 21*v)*(2*v**2 - 2*v**2 - v**3).\nAnswer: 19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = -4*h - 4*f, h + 3*f - 3 = 0. Let r be (-3*h)\/((-10)\/30). Is 0 + r - (-9)\/3 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.8. Let x = 4348 - 4348.4. Sort 1\/3, c, x in increasing order.\nAnswer: c, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -52*x + 19. What is the tens digit of j(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 25. Suppose 4*f - l = -0*f. Let k = -10 + f. Solve -4*p = -y, 5*y = 4*p + k + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8042760 and 72?\nAnswer: 8042760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117635*l**3*o**2 + 21*l**3*r + 159*l**2*r - 264*l**2 - o**2 + 2*r wrt l.\nAnswer: -705810*o**2 + 126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 + 2*f - 1. Let c be m(-2). Let u = -30 + c. What is the lowest common multiple of 11 and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135 - 3*v**2 + 64 + 4*v**2 + v + 65 as z + h*v**2 + q*v and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211 - 170. Let o = 55 - u. Solve 2*v = o - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189056050609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000601707098 rounded to seven dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 77 = 71. Suppose -3 = -l, x*c - 4*c = -5*l + 15. Suppose 4*n + 2*f - 13 - 29 = c, n - 6 = 4*f. Solve -5 = 4*u + 4*j + 3, -3*u + j - n = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -6, -29, -3551 in increasing order.\nAnswer: -3551, -29, -6, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4 + sqrt(320) - -4*(sqrt(5) + 0 - sqrt(5)))**2 + 5)*-1.\nAnswer: 128*sqrt(5) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/27 in -0.3, 0.12, -54, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -354 (base 9) to base 14\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3315679?\nAnswer: 3315679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 9*q + 1. Let j(p) = p**3 + 11*p**2 + 11*p - 14. Let f be j(-10). Let k = -5 - f. Find the common denominator of n(-6) and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -528, -507, -486?\n\"Answer: 21*h - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p + 3. Let h be p + 1*-2*1. Suppose u + 1 = -5*o, h*o = -2*u + 7*o + 28. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(0 - 0)\/(-2) - 2976\/(-11904). Factor -1\/4*f**2 + 0 - i*f.\nAnswer: -f*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*-2 - -7. Let x = 8 + -6. Let a(v) = 6*v**2 + x*v - v**3 - 5*v + 4 + 2*v. What is a(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 266\/(-126) - (-2)\/1. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:16 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2069 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -13. Let t = -125 + 130. Which is the second smallest value? (a) h (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -3, 27, 3\/7, -0.13 in decreasing order.\nAnswer: 27, 3\/7, -0.13, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -181*v**5\/120 - 7*v**4\/2 - v**3 - 30*v - 11. Let a(w) be the third derivative of i(w). Differentiate a(g) with respect to g.\nAnswer: -181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824722.\nAnswer: 2, 3, 23, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 75241039375.\nAnswer: 75241039373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 804? (a) 4 (b) 0.53 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*h = -64, 3*r + 8*h - 41 = 3*h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3 + 5976*l**2 - 2232036*l = 0?\nAnswer: 0, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3368\/64 - (-33)\/88 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 8*j - 17. Let o be n(10). Is o bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 339*r - 3280. What is p(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 10*y**2 + 5*y + 4. Let u(n) = -n**3 - 11*n**2 + 6*n + 5. Let o(k) = -6*g(k) + 5*u(k). Suppose 5 = -8*l + 7*l. Give o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 + 1 + -1. Suppose 2*j + 5*r + 73 = 0, c*j - 2*r = 4*j + 138. Let i = j + 52. What is the remainder when 52 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w. Suppose -5*q + 4 + 7 = -i, -5*i = 4*q - 3. Calculate o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 350.5 - 350.4. Which is the nearest to 2\/9? (a) -1 (b) t (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2542 and 63\/8.\nAnswer: 10168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 86*t**3 - 5*t**2 - 2*t + 4. Let x be i(2). Which is greater: 670 or x?\nAnswer: 670","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.199\nAnswer: 1.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 22 = 2*x - n, 24 = 4*x + 3*n. Suppose -5*c - 4*t + 29 + 68 = 0, 3*t - x = 0. Let u = 22 - c. Solve l = u*l + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.7 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 divided by -2?\nAnswer: -497\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u + 35*u + 29*u**2 + 27*u**2 - 80*u**2 + 31*u**2.\nAnswer: 7*u**2 + 57*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/3 + 20*b\/3 + 25\/3.\nAnswer: -5*(b - 5)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -78. Let r = -21 + 21.16. Let p = r + -1.16. What is the closest to l in -2\/7, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -42*y**2 - 6*y - 2. Let v(g) = -43*g**2 - 4*g - 2. Let r(i) = 3*v(i) - 2*x(i). Let q(d) = 2*d. Give r(q(p)).\nAnswer: -180*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -47, -99, -171, -269, -399, -567, -779?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*i**2 + 86*i**2 + 300*i**2 + 514*i**2 - 75*i**2 + 170*i**2.\nAnswer: 1584*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) - 2\/(-6). Suppose -2*q + n = -3*q. Let o = -28.2 - -28.6. Which is the closest to -0.1? (a) o (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 k when three letters picked without replacement from uklhkhuuukux?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvccivvvccviv. Give prob of picking 2 v.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15270 divided by 2.\nAnswer: -7635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 41.6. What is the second biggest value in -18, -3\/8, u?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111101 + 1?\nAnswer: 10011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*b - 19*b - 25*b)*(3 + 0 + b + 0*b)*(-2 - 5 - 1) as z*b**2 + q + p*b and give z.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 615377 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585268618 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: Suppose -4*w = -8, -5*n + 3*w = 2 - 1. Let s(l) = 5*l - 1. Let p be s(n). Suppose -p*g = 4*j + 31 - 11, -5*j - g = 5. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 0, -r + 12525 = -x - 2174. Is 42 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71874535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 - 9*f + 3. Let g(q) = 13*q**3 - 26*q + 9. Let i(b) = 7*a(b) - 2*g(b). Let l(t) = -4*t + 1 + t**3 + 0*t - t. Determine 3*i(m) - 7*l(m).\nAnswer: -m**3 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1. Suppose f - 10 = -f. Suppose -12 = j + 5*i, -i = f*j - 0*i + 12. Which is the second smallest value? (a) 2 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - 7 - 2 - 5*l**2 - 8*l. What is s(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(2) + -6*sqrt(6)\/sqrt(3).\nAnswer: -5*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -335, -633, -871, -1019, -1047?\n\"Answer: 5*a**3 - 333*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1002*h - 6 - 17254*h + 7 + 7*h**2.\nAnswer: 7*h**2 - 16252*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/9 + 21\/9 - -138?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754524.\nAnswer: 2, 3, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 191308 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/14 in -5\/6, -4, 32?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-nine halves of a microsecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 1:09 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssv when three letters picked without replacement from {h: 4, b: 11, v: 2, s: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -66 and -0.4?\nAnswer: 65.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j**2 + j - 11. Let c be r(-3). Let a(w) = -w**2 + 5*w + 8. Let l be a(6). Let k = -3 + l. Put 7, c, k in descending order.\nAnswer: 7, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**24*y**(-2\/59))**(4\/7) assuming y is positive.\nAnswer: y**(808\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 25, -j + 0*z + 106 = -2*z. Let p be 5\/(-2 + 5 + -2). Let c be ((-12)\/p)\/(3\/(-15)). Calculate the greatest common divisor of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/30 + 1\/(-3). Calculate the common denominator of (t + 0)*65\/4 and (-173)\/(-12) - (-1)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 3*k**2 + 4*k**2)*(0*k + 4*k - 5*k) - k**3 + 4*k**3 + 4*k**3 + 0*k**2 - 3*k**3 + 0*k**2 to p*k**2 + x*k + c*k**3 + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.959 + -8.666. Round b to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291316966 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 11:42 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*h - 681*h + 119*h + 150*h + 179*h + 118*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - i**4 + (-i - i**2 + i)*(-4 + 4 - i**2) - 2*i**4 + 0 + 0 - 18*i**3 + 28*i**4 + 18*i**3 to f*i**2 + p*i**4 + z + w*i**3 + q*i and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44978, -45066, -45152, -45236, -45318, -45398, -45476?\n\"Answer: g**2 - 91*g - 44888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 21580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = -5*b + 2*b, 3*u + 2*b = 29. Suppose -u + 21 = 3*r. Factor -3*s**4 - 3*s**2 + 12*s**2 - 6*s + 3*s**r - 3*s**4.\nAnswer: -3*s*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 2)*((2*z - 2*z + 2*z)*(-4 + 2 + 0) + 5*z - 2*z - z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 19317?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3 - 55*s - 13 - 34*s + 220*s**2 + 155*s + 10*s + 40*s**2 wrt s.\nAnswer: 6*s + 520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 10\/(-6) - (-8)\/24. Find the second derivative of 662*q**3 + n*q - 41 + 7 - 664*q**3 wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 37. What is c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/50 and 115\/12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 + -3015?\nAnswer: -3047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2777 (base 9) to base 3\nAnswer: -2212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6565777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457805, -457849, -457893, -457937, -457981?\nAnswer: -458025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5771*p + 30. Let i(a) = 28857*a - 145. Give -29*d(z) - 6*i(z).\nAnswer: -5783*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172139 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2*6\/(-12))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -24*c**6 - 3*c**4 - 5*c**3 + c**2 + 5*c + 35. Let i(t) = t**6 + t**4 + t**3 - t. Let r(z) = 5*i(z) + x(z). Find the third derivative of r(k) wrt k.\nAnswer: -2280*k**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419553282*f**6*p**2 + 12*f**2*p**2 + 2926*f*p**2 + f*p - 197*f wrt f?\nAnswer: -50346393840*f**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2800 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14297 and 49793.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-1916 + 4462*p + 1916).\nAnswer: 4462*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a - 20. Let z be (8 + 750\/(-105))\/((-1)\/(-7)). Determine x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52254890 divided by -10450978\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*k - k - 15*k + k + 1 + 3*k - 4*k - k + (-2*k - 2*k + 2*k)*(-1 + 2 - 3).\nAnswer: -11*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01598 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p**2 - p - 3. Let v be o(0). Let r be ((-12)\/v)\/(4 - 2). Solve -r*t - 14 = -6*t - g, 4*g + 1 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Suppose -16 = 3*u - 4. Let s(m) = m**2 + 6*m + 2. Let b be s(u). Give o(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 152 = -1256. Let x = v - 133. Calculate the remainder when 18 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*4 + (-17 - -17)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22301585 to the power of 1\/2, to the nearest integer?\nAnswer: 4722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -192. What is the tens digit of 2\/m*-4*(-273)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2660 = -4*k. Suppose -5*q + 10*q - k = 0. Suppose -q - 685 = -3*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125323272 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = k + 21899, -3*d + 2*d + 3*k - 4367 = 0. Let b be d*9\/(9\/4). Let i = -315367\/18 - b. Calculate the common denominator of i and 17\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 18 + 160 + 2 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(52) + -3).\nAnswer: -6*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - 200. Suppose 0 = -32*h + 37*h - 5. Is h\/(o + 4 - (-242)\/(-81)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 39*o**2 - 103*o + 5220. What is r(39)?\nAnswer: 1203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 105564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 3*l. Let z be a(-2). Let g be (z\/7)\/(27\/63). Factor -2\/3*n**2 - g*n**4 + 0*n - 4\/3*n**3 + 0.\nAnswer: -2*n**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14)*0\/(-1))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00619062 rounded to 5 dps?\nAnswer: -0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*a + 27975 + 3440, 2*j = 3*a - 20945. Let b = j - -15533. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -af (base 16) to base 10.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9762156ml?\nAnswer: 0.0009762156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 327122*a**2*n + 7*a**2 + 3*a + 4231 wrt n?\nAnswer: 327122*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.3. Let n(b) = b**2 + b - 6. Let u be n(-3). Suppose -4*q + z = -5, -q - 10 = -u*z + 2*z. What is the biggest value in 3\/4, p, q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 + 85?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 3. Let i be w(10). Let n = i - 5. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 548 divided by 72\nAnswer: 137\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3318, 6627, 9920, 13191, 16434, 19643?\nAnswer: 22812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 2*f + 1. Let d(x) = 3*x**2 + 3*x + 1. Let o(u) = -3*d(u) + 5*l(u). Suppose -6*v = -v + 10. Calculate o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-24)\/(-130) - 32\/(-80).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 10.75. Let p = z - -2.2389. What is p rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from bhiziih?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.4, 3.1 in descending order.\nAnswer: 9, 3.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*l**5 - 204*l**4 - 12553*l**2 + 1?\nAnswer: -3900*l**2 - 4896*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99076 - -45303. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 735 and 245.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -54) + (0 + -1 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggugggggggugugg. Give prob of sequence gug.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -28. Let w = -15 - q. Which is smaller: 26 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339003528?\nAnswer: 2, 307, 952363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2221.\nAnswer: -2\/2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + 5*d - 2. Let t(i) = -2*i**3 - 2 + 3 - 54*i + 51*i. What is -3*c(z) - 5*t(z)?\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 - -124.02. Let r = 1 - p. Let s = r + 0.02. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-3 - (5 - 5)). Let j be (-6)\/(-1) - (u + 6 + -5). Suppose -3*r = -17 + 2. Solve 2*g - j - r = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Suppose -h*b + 2*w = -0 - 21, 0 = w - 3. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11444, -22801, -34072, -45257?\nAnswer: -56356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477225, 477224, 477215, 477192, 477149, 477080, 476979, 476840?\nAnswer: 476657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 7}. What is prob of picking 3 t?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 86719869?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -15. Let n(s) = -6*s. Let a be n(-1). Let y be ((-2)\/d)\/(2\/a). Calculate the highest common factor of 3 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 23 - 5 = -2*a, -3*z + 48 = 5*a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**2 + 7*n - 7. Suppose 2*d + 2*p + 2 = 6, 5*p = 0. Let i(z) = -3*z**2 - 2*z + 2. Let l(y) = d*s(y) + 7*i(y). Let t(j) = -j. Determine t(l(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854319676?\nAnswer: 2, 7, 30511417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 7*d**2 + 8*d + 20. Let r be k(-6). Let l = r - 133. Calculate the highest common factor of l and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891557467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejjiiefxijgexijfj. What is prob of picking 1 j and 2 i?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 3*v - 204*v**2.\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6340*w - 14 = -6341*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/((-920)\/(-16)))\/(-2*4\/(-320))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -623*s + 6. Let z(p) = -4*p + 1. Give n(y) - 6*z(y).\nAnswer: -599*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 5640*t**2 - 5708*t**2 + 36*t**3 + 11348*t**2.\nAnswer: 36*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 267.5 + -38.5. Let s = 112 - p. Let b = s - -116.99999886. What is b rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 + (-3)\/3). Let w(f) = 3*f - 1. Give w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3301, -5990, -8679?\n\"Answer: -2689*b - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 13*v**2 - 14*v - 5. Calculate s(11).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -13*k**6\/45 + 7*k**4\/24 + 191*k**3\/3 - 38. Let i(w) be the third derivative of r(w). Differentiate i(a) wrt a.\nAnswer: -208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from czzczcczzzzc?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:28 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 0.1 (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 16 + -13 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/3 - 1112*k**2 + 2226*k - 3340\/3 = 0. Calculate k.\nAnswer: -1670, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3*r**3\/2 - r. Let v(j) = -23*j - 3. Let u be v(-1). Let b(w) = -18*w + 37*w - u*w. Give b(n(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1908 = 2*a. Is 106 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-252))\/((-132)\/(-180)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1 + sqrt(200))*-6*4)**2 - (-4*sqrt(20)*3)\/(-4*sqrt(360) + sqrt(360) + sqrt(10)).\nAnswer: 195828*sqrt(2)\/17 + 115776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 176 = -5*p + p, p - 49 = -2*v. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.3 - 5.32. Let l = a + -0.979981. Round l to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00801 and 0.70775.\nAnswer: 0.0056690775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 + 154. Let s = 108 + t. Let o = -44 + s. What is the closest to 0.2 in o, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 122*o**2 - 10*o - 6. Let z(r) = -122*r**2 + 12*r + 7. Determine 6*u(f) + 5*z(f).\nAnswer: 122*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.963 + 7.96296407. Round w to six dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 27 + 7 = 0. Suppose 1560 = s + 5*b, -3*s = -5*s + z*b + 3150. What is s rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-3)*15\/(-10). Let y be (0 + -1)\/(q\/(-30)). Sort 1, 3, y in ascending order.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 22191\nAnswer: 4\/22191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/8)\/(v**6*v))\/(v\/v**(2\/7)*v**(2\/23)))**12 assuming v is positive.\nAnswer: v**(-28695\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -260*v - 1. Let n(z) = 46168*z. What is n(a(x))?\nAnswer: -12003680*x - 46168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - d**3 + 2*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-2\/7)*o))**20\/((o**24\/o)\/(o\/o**(-22))))**(-32) assuming o is positive.\nAnswer: o**(7680\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.58 and -343.88?\nAnswer: -199.4504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 5*k - 127*k**2 + 128*k**2 to r*k + h + w*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from hdrrheh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51193, -51201, -51205, -51199, -51177?\nAnswer: -51133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2317, -2341, -2351, -2341, -2305, -2237, -2131, -1981?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o. Let s = -271 - -1353\/5. Which is the closest to 4? (a) 4 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-13))\/((-625)\/(-4875)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2233 and 1925?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-18)\/(-8) - 2). Suppose v*z = w - 283, w + 2*w - 875 = -z. Let j = w - 164. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p + 140. Let l = -31 - -6. Let k = p + l. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + 3*v + 8*v)*(v - 4*v + 21*v) as y*v + d + b*v**2 and give b.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.41383 microseconds in milliseconds?\nAnswer: 0.08041383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1782*b + 6*b**5 + 2133*b**2 + 324 + 231\/2*b**4 + 1569\/2*b**3 = 0 for b.\nAnswer: -6, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*k - 6*k - 460 = -8*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 721*g**2*r**3*w - 4*g**2*r**3 - g**2*r**2*w + 1037*r**3 wrt w?\nAnswer: 721*g**2*r**3 - g**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*q - 230 = -96*q. Solve 5*p = -q, -2*c + 4*c = 4*p + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343423240 (base 5) to base 6\nAnswer: -53042501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 - 6*m + 5. Let z(u) = 1 + 12*u**2 - 4*u**2 - u + 2*u - 7*u**2. Let c(r) = x(r) + z(r). Let d(q) = 8*q**2 + 6*q - 7. What is -6*c(f) - 5*d(f)?\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375230.\nAnswer: 2, 5, 157, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122 * -1076.\nAnswer: 131272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*n + 5 = 11*n, -f + 2*n = 7. Let x be (37 - (6 - f))*28. Round x to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/5, 12, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/23425231 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 17*h**2 + 2*h + 36. Let a be t(-17). What is the first derivative of 2841*x**3 - 64*x**a - 15 - 2843*x**3 + 15*x**2 + 54 wrt x?\nAnswer: -6*x**2 - 98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228e (base 15) to base 5.\nAnswer: -213314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60162.\nAnswer: 2, 3, 37, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + p)*(9 + 9*p**3 - 9)*(4 + 3 - 4).\nAnswer: -54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(2\/95))*p*p**(-5\/8))\/(p**(-7))**(-1) assuming p is positive.\nAnswer: p**(-4291\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*n + 19*n + 142*n + 69*n as f + g*n and give g.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125054?\nAnswer: 2, 3, 7, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**4\/6 - 11*o**3\/6 + 2*o**2. Let k be x(6). Suppose -k*l = -2*l - 462. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 83*h - 24. What is the least common multiple of 50 and p(3)?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x - 32. Let a be t(-13). What is the tens digit of 455\/(-130)*(-1706)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 7*h**2 + h - 5. Let b be i(7). Let u = -74 + 77. Sort 1, u, b.\nAnswer: 1, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 0, -18 in increasing order.\nAnswer: -18, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 2*t**5 + 0*t**4 + (-9 + 31 - 23 - 19*t**3)*(4*t**2 + 8*t**2 + 3*t**2).\nAnswer: -283*t**5 - 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 + -114. Let i = -49 - 25. Let n = f - i. What is n rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 20*i + 59. Give v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*p + 2*p**3 - 177*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 80. Let s = 66 + y. Which is the third smallest value? (a) s (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -126. Let q = 61 - l. Let h = 0.04 + 1.96. What is the third biggest value in q, 5, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 27*u**2 - 10*u - 5. Let p be w(2). Let v = p - 76. Suppose 3*c - c - 22 = 0. What is the smallest common multiple of v and c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - 27\/(-30). Let j = -29\/2 + 16. What is the closest to -1 in -0.3, n, j?\nAnswer: -0.3","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: Let k = -112 - -112. Suppose k = -5*g - 2*p + 4948, -3*g + 398 = -4*p - 2576. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64224.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -382, -384, -386, -388, -390?\n\"Answer: -2*r - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -22, 6.\nAnswer: -22, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 667988951?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67\/3 of a hour?\nAnswer: 80400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -429*q**5\/20 - 33*q**4\/4 + 258*q. What is the third derivative of p(m) wrt m?\nAnswer: -2574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -5*c - 60. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.952 + 0.048. Let n = -649\/3270 - 1\/654. Put n, 1\/5, o in descending order.\nAnswer: o, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -21101?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405 (base 16) in base 11?\nAnswer: -393a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4131 and 8\/2295.\nAnswer: 20655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26\/(-91) - (52056\/(-14) - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 85*u**2 - 344*u - 69. Give v(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 182.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/6*(-22)\/(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*z = -10, -77*z + 75*z = -4*r + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x**2. Suppose -4*u - 16 = -5*l, -l + u + 2 = -2. Let m(w) be the first derivative of 2\/3*w**3 + 7 + l*w + 0*w**2. Give h(m(f)).\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4995*s**2 + 1700*s**2 + 1675*s**2 + 1673*s**2 + 11*s**3.\nAnswer: 11*s**3 + 53*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (2 + (-38)\/10). Let i = 2.2 + -1.9. Let d = 26 + -103\/4. Which is the nearest to 1? (a) i (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -359.9 + 361.9. What is the second biggest value in -0.4, 0.125, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -44. Let t = h - -10. What is the units digit of 2\/((-6)\/(-3))*t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 + 73263*w\/7 - 585912\/7.\nAnswer: -3*(w - 24413)*(w - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 5*k - k + (0*k - 4*k + 3*k)*(1 + 2 - 4))*(2*k**2 + k**2 - 4*k**2) + (1 - 2*k**3 - 1)*(0 - 1 + 2) to g*k + v*k**3 + o*k**2 + n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from abzzbhw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -10393.3\nAnswer: -228652.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80854799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2465, 4942, 7417, 9884, 12337?\nAnswer: 14770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 1616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5371 + 1.11. Let z = s - -0.1461. What is z rounded to 2 dps?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 - (-12)\/(-5). Let n = 0 + 4. What is the second biggest value in n, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - d = -172, -3*d = 4*f - 891 + 198. Let x = f + -87. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4 - 1 + v)*(-144 - 99 - 19).\nAnswer: 524*v - 786","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 - 5*v - 3. Let j be 44\/(-5)*(-5)\/2. Let h = j + -7. Suppose 2*p - 5*p + h = 0. Give l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1, 13 in decreasing order.\nAnswer: 41, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12*5\/30)\/((-1)\/(-2)). Suppose t + 6*c + 5 = 8*c, -n*c + 13 = -t. Solve -3*a + 12 = -6*a - b, b = 2*a + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-140)\/315*9\/(-2). Let g(i) = -84*i**3 - 3*i - 86*i**3 + 169*i**3 + 4*i**c. Let a(l) = l - 3. Let z be a(6). Determine g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*b - b - 6, -5*w + 5 = 0. Suppose -4*t = -11 - 1. What is the smallest common multiple of b and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27174 and 2958.\nAnswer: 13396782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + ((sqrt(187)*-1 + sqrt(187) - sqrt(187)) + sqrt(187) - sqrt(187)) + sqrt(187))\/sqrt(11) + sqrt(17) + (-1 + sqrt(17) - sqrt(17)) + 2.\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5851880?\nAnswer: 2, 5, 146297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*p)*((2 - 1 - 3)*(-3 + 3 + 2*p) - 4*p + 6*p - p - 4 + 4 + 2*p) to the form w*p**2 + f*p + k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9175 + -9174.999996215. Round q to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 divided by -4.\nAnswer: -129\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide -143 + 140 - (-1300 - (1 - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -23964651?\nAnswer: -23964652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2 + u - 1. Suppose -q - 1 = -a, -2*q + 17 = 3*a - 1. Suppose 2*t = 5*t - q. What is o(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.07 - 22.0699473. What is i rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, q: 3, h: 5}. What is prob of picking 1 e, 1 h, and 1 q?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87442, 87467, 87496, 87529, 87566?\n\"Answer: 2*n**2 + 19*n + 87421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 + 78*r**2 + 76*r = 0.\nAnswer: -38, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 270*z - 1927. What is p(12)?\nAnswer: 1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -41*x**7\/42 + x**5\/5 - x**4\/4 + 7*x**2\/2 + 8*x - 16. What is the third derivative of h(t) wrt t?\nAnswer: -2460*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/((-1)\/33). Calculate the remainder when 91 is divided by 2\/(-11) - 510\/i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32128, -32998, -33870, -34744, -35620, -36498?\n\"Answer: -j**2 - 867*j - 31260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-127)\/(34*7\/(-77) + 3). Calculate the greatest common factor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5400\/(-975))\/(6\/(-52)). What is the greatest common factor of t and 25104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -65, -10, -2, 649?\nAnswer: 649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 + 56?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 118615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 * 0.61.\nAnswer: 46.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*h - 7 = 0, 19 = 4*r + h - 6*h. Let y = 5 - r. Solve -p + 4*f = 5, y*p + 3*f + 4 - 22 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 19. Let v(f) = -2*f**3 - 74*f**2 + 241*f + 48. Let z be v(-40). Let m be (-6)\/z - -1 - (-2)\/p. Solve j = -m*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/30)\/((-27)\/510)*32\/(1088\/(-357)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-39) - (-1409338)\/156. Let v = m - 9036. Calculate the common denominator of -145\/6 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -5) + (-3 - (0 + (1 - 6)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j\/(j*j**5)))\/(j**(-4)*j))\/(j*j**(-1\/6)*j*j*j*(j\/(j*j**(-3)))\/j)*(j\/(j*j**(-3\/7)))\/j**7*j**(-6)*j**(-2) assuming j is positive.\nAnswer: j**(-395\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 57*o**2 + 144*o + 5169. What is r(-29)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 4*f + 4. Suppose -10 = -2*v, -77*j = -78*j + 2*v - 14. Let o be 10 + 0 + 2\/(-2). Let n(i) = o + i - 2*i**2 - 11*i + i. Give j*n(d) + 9*c(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*w - 478*w = -2748 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 5*j - 3*j - 10, t + 3*j = 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -1088?\nAnswer: -11\/1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**2 + 2*y + 2. Let b(i) = -30*i**2 + 5*i + 5. Let m(q) = 2*b(q) - 5*h(q). Let a(s) = s**2. What is m(a(u))?\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 j when three letters picked without replacement from gjjjjfxggxxxxfxjx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((32*c - 60*c + 13*c)*(-3 + 2 + 3) - 3*c + 5*c - 8*c)*(-1 + 2 + 2).\nAnswer: -108*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79 and 8.619.\nAnswer: 680.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nunn when four letters picked without replacement from nuununn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 383\/2582753?\nAnswer: 383\/2582753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 - 4*k**2)*(1 - 3 + 4) + (-5287 - 224*k + 5287)*(-4*k + 6*k - 4*k) + 0*k**2 + k**2 + 0*k**2.\nAnswer: 445*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39099*g + 432592 = 27715*g for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 5. Let b(p) = 2*p + 1. Let s be b(3). Let w(v) = 2 + v + v - s*v + v. Determine -2*g(m) - 5*w(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -4*l + 2*u + 176, 4*u = -l + 105. Suppose -5*x = -l - 127. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = -b + 8, 0 = -5*b + 4*m - 4. Solve b = 5*v + 1 - 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -314 - -308. What is the fourth smallest value in 2, 3\/4, c, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 40\/9 (c) 1368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 55 = 5*q, 4*q - 22058*s + 22054*s + 4 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.06845 and 52.\nAnswer: 39.93155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11670348 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111010011011101 - -101?\nAnswer: -100101111010011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -3?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let m(s) = -2*s**2. Let x(y) = 3*m(y) + 7*q(y). Let v(r) = -4*r**2 + 8. Let l(c) = -2*v(c) + 2*x(c). What is the derivative of l(t) wrt t?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/20 - m**4\/2 - m**3 - 7*m**2\/2 - 4*m. What is r(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - 3*sqrt(2880))*4)\/(sqrt(10) + sqrt(70)\/(sqrt(7) + sqrt(7)*1) - sqrt(10) - sqrt(810)*2)*5 + -3.\nAnswer: -3 + 192*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 911 - 896 - ((-1 - (-6 - -5)) + 26)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - 99. Solve l*k - 2*b = 4*k - 4, k - 2*b + 13 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.86 + 33.504. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7911 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/60 + c**4\/4 - c**3\/6 - c**2. Let j be g(7). What are the prime factors of 2\/j + 270\/24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120, 264, 392, 504, 600?\n\"Answer: -8*w**2 + 168*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26984454 - 26984454.21000053. Let w = -0.21 - f. Round w to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 11 + 10\/4*(21 + -19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1168 by 2.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h + 2*h. Calculate the lowest common multiple of 6 and (22\/11)\/(h\/(-10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 18004424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 + q - 1. Suppose -4*u - 3 + 7 = 0. Calculate the remainder when 62 is divided by a(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**6 + 133*b**2 - 1 + 19*b**6 + 4*b**5 - 11*b**5 wrt b?\nAnswer: 2760*b**3 - 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -15?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 36. Let g = 6277 - 75283\/12. Find the common denominator of 22\/(-11) + (2 - 9\/w) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-6))\/(6\/(-4)). Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 163.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -10, -2*u - 4 = -4*c + 6. Suppose l + 3 = -2*k - u, -18 = 5*l - k. Let a(v) = -v**2 - 6*v - 6. Let n be a(l). Solve t = -n - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-3 - 1 - -9). Let u(a) = -a**3 + a**2 - 1. Let q(r) = -24*r**3 + 22*r**2 - 22. Give h*q(l) - 88*u(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + (-1 - 3) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7141.972 - 812221\nAnswer: -805079.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 44. Suppose -4*j = -11 - 25. What is the greatest common factor of j and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 + 0*w**2)*(13 - 31 - 20).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/305, -0.6, -2, -1\/4.\nAnswer: -2, -0.6, -1\/4, 2\/305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -610510451?\nAnswer: -610510455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {l: 3, j: 4, f: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6360 - 1523 = 0. Suppose -997 = 8*w - y. Suppose -a + w = 5*a. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11140 divided by 603\nAnswer: 11140\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -30.163 (c) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*y - 5*y + 192, -5*y + 20 = 0. Let b = -57 - q. Find m, given that 1\/3*m + 0 + 1\/3*m**2 - 1\/3*m**4 - 1\/3*m**b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (4 - (3 - 16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394825 is divided by 394755?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101745 divided by 1785.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:45 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636 and 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 33. Let y(d) = -5*d - 15. Let c be y(r). Suppose 0*p + c = 5*p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1305 - -1325. Let p(z) = 6*z**2 - 4*z. Let c be p(4). What is the highest common divisor of l and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -298\/5. Suppose 2*j - 32 = -2*z - 2*z, -3*j - 18 = -5*z. Let f(o) = -o + 3. Let x be f(z). Which is the closest to -2\/3? (a) 1 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + 1.15. Let n = 2\/15 + 8\/15. Let q = -0.1 - -0.4. What is the closest to k in q, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -2)\/((-2)\/(-34)). Suppose 0 = -2*s - 7*t + 2*t + 81, 2*s - 5*t - 131 = 0. Let q = s + c. Solve 6 = -q*k + z, z = k - 6*k - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-488556)\/(-11070) + (-220)\/5\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:18 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21120211332 - -1300?\nAnswer: -21120210032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7134, 6982, 6816, 6630, 6418?\nAnswer: 6174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l. Let b(c) = 296*c + 1. What is b(i(u))?\nAnswer: -1776*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -21*y. Let w(c) = -115*c**2 - c. Give s(w(l)).\nAnswer: 2415*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 698890 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 742540, 742539, 742538, 742537, 742536, 742535?\nAnswer: 742534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 43*o - 280. Give b(-36).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y - 12. Suppose -3 = -y*s, 2*j - 349 = -3*j - 4*s. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etctoorttcrotrcoco. What is prob of sequence to?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 25. Let a be b(0). Let h = -15 - a. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2086*g**4 + 2*g**3 - 4390 with respect to g.\nAnswer: -8344*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - g. Let p(l) = 2*l**2 - 5*l. Let d be 4\/2*(-7)\/14. Calculate d*p(k) + 5*h(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, -0.1, -120?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 2\/5*q**5 + q - 2\/15*q**6 + 1\/3*q**4 - 4\/3*q**3 + 0*q**2 + 0. Factor m(r).\nAnswer: -4*r*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 49714621\nAnswer: -24857310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/6 (b) 3\/2 (c) 57010 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 4\/3 (c) -184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q + 8 = -98 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/4)\/((-6482)\/1852)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 6. Let t(q) = -22*q**2 - 7*q - 7. Let b(c) = -19*c**2 - 6*c - 6. Let x(p) = 7*b(p) - 6*t(p). Determine x(l(f)).\nAnswer: -f**2 + 12*f - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2418599 and 0.15.\nAnswer: -2418598.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 7. What is c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30946484 = -66*a - 9209582. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + 116 - 579\/(-57)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3750 + -3733. What is the second smallest value in -17, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -7\/6 (b) 2.99 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4566894 is divided by 380.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 9*g**5\/32 - 17*g**4\/12 + g**3\/48 + 3*g**2\/8 - 2*g + 512. Factor v(y).\nAnswer: (y - 3)*(5*y + 1)*(9*y - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3220 and 1163386.\nAnswer: 11633860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4 + 20*p**3 + 474*p**2 - 2620*p + 2128 = 0?\nAnswer: -14, 1, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250695*x**3 - 333873*x**2 wrt x.\nAnswer: -1504170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24714*w**2 + 20*w + 14481886 with respect to w.\nAnswer: -49428*w + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-8) + (-12)\/8. Calculate the least common multiple of 10*1 - (1 + -2) and c\/(7\/(14\/(-6)) + 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-2) - 2\/(-4). Let x be 2 + -4 + (-1 - -3). Let b be (-1 + x)\/(7\/14). Put -5, b, l in descending order.\nAnswer: b, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x**2 + 20521*x\/2 + 8981\/2 = 0. Calculate x.\nAnswer: -7\/16, 1283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 - 75. Let z = a - 12. Let t(r) = r - 3. Let h be t(3). Solve z = -5*v + v + j, h = -3*v - 4*j + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 663.46 + -663.4. Sort 3\/8, 7, -5, z in increasing order.\nAnswer: -5, z, 3\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -21. Let n = k - 5. Let m(x) = 2*x + 4. Calculate the least common multiple of m(3) and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:50 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 + -78412?\nAnswer: -78462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 329\/10. Let l = 131 - 138.3. Let g = -7 - l. What is the third smallest value in g, u, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22\/311 + -11033\/10885. Find the common denominator of v and (2\/40*-34 - -2)\/(108\/1164).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 1}. Give prob of picking 1 w and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -445, -647, -847, -1045, -1241, -1435?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -343\/6?\nAnswer: -343\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -221014431 (base 5) in base 4?\nAnswer: -3220333332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4328659 to the power of 1\/2, to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 122119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 3. Let a(b) = b - 2. Let f(q) = 5*a(q) - 2*d(q). Let l be f(8). Calculate the remainder when 626\/18 - l\/(-18) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 33. Let v = -30 - -88\/3. What is the closest to 1 in 1\/4, v, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 11*d + 1. Let n be t(11). Let g = -84 - -83. Is (628 - 14)\/(n - g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147*a**4 + 2*a**3*v + 1218*v wrt a.\nAnswer: -588*a**3 + 6*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2723223.32 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a day in minutes?\nAnswer: 24120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a = 4240 + 3664. What is the greatest common factor of 20 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 - k**4\/12 - 8*k**2 - k. Let o be u(0). Let r(m) = -m**2 - 29*m + 3. Is r(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-40)*(-4)\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 36, 66, 130, 240, 408?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898886.\nAnswer: 2, 23, 19541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 19 = -2*a - 0*a, -81 = -5*g - 3*a. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 96*m**2 - 715*m - 173. What is h(88)?\nAnswer: -1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from {b: 3, e: 12}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/11523213 and 57\/10.\nAnswer: 115232130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 11*u + 57 + 10*u to the form a + j*u and give a.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -327, 2, 0.4, -0.6, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163805.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let t(b) = 2*b**2 + 69*b. Give o(t(r)).\nAnswer: -8*r**4 - 552*r**3 - 9522*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 9821 + 34483 = 0. Calculate the greatest common divisor of 59 and o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/24 + 10\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(300) + 0 + (-2*sqrt(300))**2 - (-5*(-3 + sqrt(300))**2 + sqrt(300)))*-2*6 + -4.\nAnswer: -98824 + 10800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1342 = 221*f + 426 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -5*q, 3*b + q = 6*q + 12. Solve -25 = b*c + c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -7*n**2 - 28*n - 94. Let o be i(-2). Solve 2 = -s - o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3 + 22 = 5*r, r - 5 = x. Which is the second smallest value? (a) x (b) 4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15978419 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**3 - b**2 + 1. Let h be i(-1). Let a(v) = 9*v + 1 + 3 + 5. Let z be a(7). Calculate the greatest common factor of h and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1100, 2899, 5412, 8639, 12580, 17235, 22604?\nAnswer: 28687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3362.95245 + -0.04755. Let q = -3338.27 - m. Let a = q - 23.6. What is a rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1392, -1396, -1410, -1440, -1492, -1572?\nAnswer: -1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(27\/21 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33133840 and 29496.\nAnswer: 99401520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l - 14. Let f be y(-4). Suppose -13*r - 3620 = -f*r. Let g = 1355 - r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*y + 4*n = -3, -y + 3*n + 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109721 + 11411071\/104. What is the common denominator of c and (-1 - 192\/(-195))\/(20\/(-580))?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Let h = c - -5. Suppose -h*p = -p - 20. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168942407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60135.6 - -298.1.\nAnswer: -59837.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32768*m**2 + 1536*m - 18.\nAnswer: -2*(128*m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/(-18)*-2*(-4 + 1). Which is smaller: c or 101\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151.391199 + 0.681875. Let r = -152.06 + h. Let k = 0.013 - r. What is k rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/8)\/(70740\/(-2096))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -528*w**2 - 1. Let m be f(1). Let v = m - -749. Let j be (-3)\/(-1 - (-17)\/20). Calculate the highest common divisor of j and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 2140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74806 and -0.8?\nAnswer: 59844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 3*x = 30. Suppose 55 = -x*h + 19. Let s = -9 - h. Solve -c = -2*c + 5*i + 15, c = i + s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5304 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/8 - -9\/4. Which is the second smallest value? (a) 0.4 (b) -1\/2 (c) -2\/11 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969132 - 1858 = -10910*z for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 - 11*u**2 - 8*u + 11. Let n(b) = -b**2 + 1. Let o(d) = 2*i(d) - 22*n(d). Find the second derivative of o(z) wrt z.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -13 + -2 + (39 - 27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 - 2*f**3)*(-2*f + 0 + 0) + 2*f**4 - f**2 + f**2 + f**4 + 3*f**4 + 0*f**4 + f**4 - 3 + 3 + (-4*f**3 + 5*f**3 - 2*f**3)*(f - 2*f + 0*f).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16042656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*c**3 + 2*c**2 - 24 wrt c?\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 22*r = -1774. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 + (-85)\/(-25). Let n(x) = -x**3 + 5*x**2 + 2. Let q be n(4). Solve 0 = -3*d - b + q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j**2. Let y(u) = 4*u. Let h(p) = 7*p. Let l(i) = 6*h(i) - 10*y(i). Give n(l(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7094, 0.2.\nAnswer: -7094, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 354\/(-45) + 8 + 118\/15. Put 6, m, -4, -1 in increasing order.\nAnswer: -4, -1, 6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*c - 9. Suppose -c*d + 6775 + 13110 = 5*b, -2*d = 0. Suppose 5*m + 1523 = -b. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 85*y - 15. Let s(z) = -3*z**2 + 51*z + 9. Let t(d) = 3*l(d) + 5*s(d). Let u(p) = -11*p + 46. Determine t(u(a)).\nAnswer: 363*a**2 - 3036*a + 6348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -10 - (5 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -6. Let c = f - 29. Solve -2*i - 5*k = -0*i + c, k + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 3 - (-378)\/91. Which is the second smallest value? (a) r (b) -4 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -10.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. What is the closest to 1 in -4, -2\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2625 - -5901. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.17211, -3\/134 in decreasing order.\nAnswer: 0.17211, -3\/134, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 2*w**2. Let k(c) = c**2 - c + 15. Let z be k(0). Suppose d - z = 6*d. Let v be (-3)\/(-4*d\/8). Calculate n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1902 by 6.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/(-6) + 9\/27. Let f = 69 - 73. Calculate the smallest common multiple of (-6)\/f - 68\/a and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q = -139703 + 139651 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10409, 20762, 31117, 41474, 51833?\nAnswer: 62194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 160\/1020*6\/8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -4304315?\nAnswer: -4304302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbbbbbbbbbbbppbbbpb. Give prob of picking 2 b.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39047\/126 - 2863\/9. What is the common denominator of (250\/(-120) - 5) + 1 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*5\/(-24)*251\/((-21335)\/204)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12683 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 587 + -571. What is the tens digit of -46*(-2 + 8\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 34*q + 34*q.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.79931 plus -110?\nAnswer: -372.79931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*((-4)\/(-24)*36\/(-24))\/(17\/34).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 9. Let j = -18 + c. Let r = j - -9. Solve -s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 7*i**3 + 0*i**3 + (-i + 0 + 0)*(i - 3*i - 5*i)*(-17*i - 5*i + 9*i) to the form m*i**3 + n*i**2 + f*i + h and give m.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -72, -138, -202, -264?\n\"Answer: v**2 - 69*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 154*p**3 - 1982*p**2 - 1830*p.\nAnswer: -2*p*(p + 1)*(p + 15)*(p + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5656 less than 11566978?\nAnswer: 11561322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22541323 (base 6) in base 13?\nAnswer: -1b5697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -62f7e (base 16) in base 14?\nAnswer: -a7a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247*t - 31?\nAnswer: -247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2236019763, 2236019765, 2236019767, 2236019769, 2236019771, 2236019773?\n\"Answer: 2*y + 2236019761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*p**(-5)*p)\/p)*p**17 assuming p is positive.\nAnswer: p**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than 1009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-8) - (-2)\/8. Let c = 2 + -2. Let i = c - -3. Solve -i = -g*x - 2*v + 1, -5*x = -5*v + 35 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, 46, -0.1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 135 in 0.9, -1\/7, -2\/67, -3, -4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.570104386 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 3*l**3 - 4*l**2 - 4*l**2 + 43*l + 2*l**3 + 7*l**2 + 7 to b*l**3 + z*l**2 + a + p*l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 20. Suppose w*f - 3*f + 200 = 0. Let q be (-88)\/f - (1 - -1). What is the biggest value in 3, q, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 35 + 23 = 0. Let s(b) = 2*b - 4. Let h be s(4). Let p(z) = 7*z + 2. Let j be p(h). Calculate the highest common factor of j and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.223599km to millimeters.\nAnswer: 2223599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 8*r**2 - 9*r. Let w be 2\/11 + 291\/33. Let m be f(w). Solve -3*k + m*k + 16 = i, 24 = 5*k + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35056 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -2. Let x = -5.2 - q. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etjtjkii. Give prob of sequence iij.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/(-1))\/(-7))\/(2\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.1, 163?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a56 (base 15) to base 9.\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12312032 (base 6) to base 10.\nAnswer: 398324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30411 (base 5) in base 14?\nAnswer: -a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(3 + -5) - 7. Let y be 2 - ((1 - f)\/(-4) + 1). Calculate the highest common factor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, d: 2, w: 6, m: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 41714368.\nAnswer: 1\/20857184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*c**4 + 74*c**3 - 74*c**3 + (-6*c**2 + 6*c**2 + 8*c**3)*(1 - 1 + 3*c).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17 times 1.631?\nAnswer: -3.53927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2884 + 2887. Factor -1\/5*w**2 - 1\/5*w**p + 2\/5*w + 0.\nAnswer: -w*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n)**(-40)\/(((n*n**(-2\/5))\/n)\/(n*n\/(n**(2\/7)*n))) assuming n is positive.\nAnswer: n**(-4161\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (104\/39)\/((8\/(-1))\/4). Which is the fifth biggest value? (a) 3\/4 (b) -3\/8 (c) -0.5 (d) 0.09 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11260 and 5140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 8. Let a be b(4). Let l be (0 + a\/8)*46. Let o = l + -16. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose 3*z - 50 - 65 = -2*u, 3*z - 15 = 0. Suppose 0 = 2*r - 5*v - 40, w*r - 6*r - 5*v = -u. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144347261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 306616, 306610, 306592, 306556, 306496, 306406, 306280, 306112?\n\"Answer: -x**3 + x + 306616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 - 2*z**2 + 2. Let j be f(-2). Let q be 8\/j + 18\/27. Which is the third smallest value? (a) 6 (b) 3\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 52 = -3*n - 44, -5*m - 3*n - 2 = 0. Suppose 0*g - 12 = -c - g, g = 2. Let i be 4\/c + 392\/(-1080). Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/167365 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4560115 rounded to 4 decimal places?\nAnswer: -1.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 18, -343, -3\/8, 5, -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-28))\/((-20)\/(-490))*(-12)\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -591779877\nAnswer: -591779879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, l: 6}. What is prob of sequence ll?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 40*g**3 + 44*g**3 - 128*g**3 + 5*g + 37*g**3.\nAnswer: -7*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 20. Suppose 0 = -q + b*k + 31, 0*k + 59 = 5*q - k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600954.25 rounded to the nearest 1000?\nAnswer: 1601000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2. Let n(z) = 41*z - 1. What is n(q(k))?\nAnswer: -205*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 + 4. Let t = 1 + -2. What is the closest to t in 3, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - -149759?\nAnswer: 149793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/11 + 4*y**4\/11 + 36*y**3\/11 + 64*y**2\/11 + 46*y\/11 + 12\/11.\nAnswer: -2*(y - 6)*(y + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 3. Let r be k(3). Let l be ((-2)\/(-5))\/(3\/(-15)). Is 3 a factor of r*(-1)\/(-1 - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 6*f**2 - 8*f**2 + 7*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1198, -2389, -3584, -4783, -5986, -7193?\nAnswer: -8404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 2*p**2 + 2. Calculate h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2 + (-708448)\/48)*(-4)\/((-24)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 12}. What is prob of picking 1 d and 1 s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + 2 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1337 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 130*i + 291. What is f(19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*44\/(-77)*-1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1951? (a) 1\/6 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 280 = 168. What is the second biggest value in 5, -1\/3, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 - 12.31226722125?\nAnswer: -12.35826722125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13 + -2)\/3)\/(42\/1788528). What is y rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-49))\/((-3)\/6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 11*u + 3. Let k be s(11). Solve 4*f - 4*j - 17 = 7, -k*f + 10 = 5*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 1 + 4*m**3 to the form l + b*m + g*m**3 + f*m**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 36 + 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/(-18))\/((-7)\/(-21)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 21 = -9. Let f(i) = -i**3 + 2*i - 4. Calculate the remainder when 46 is divided by f(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(187) - (sqrt(187) - -1*sqrt(187)) - sqrt(187))*-1)\/(-4*sqrt(396)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5060 + 689656985.\nAnswer: 689662045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 8*z**2 + 2*z - 16. Let t(h) = 4*h**2 - h + 8. Let c(w) = 5*t(w) + 2*u(w). What are the prime factors of c(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143005 + 296099. Let b = l + -439104.9999985. Let n = 1 + b. Round n to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 1115 = -89*d + 20*d + 10715 for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u + 7 + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -385 - -592. Suppose -3*q = 2*p - f, q - 30 = 2*p + 39. Suppose -q = -3*a + 2*c + 4, c = 4*a - 89. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42626.02m to kilometers.\nAnswer: 42.62602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 59, 10, -59, -148?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-1 - -3 - -8). Let d be (-12)\/(-8) - (-1)\/2. Let q = d - -1. Solve 3*z + i = -z - 7, z + q*i = -p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + 2)*2\/3. Let f be 19\/(-3 + 20\/d). Let z = f - -54. Solve z = -3*l + 2*n, 2*l - 4*l - 29 = -5*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1900) - (1 + sqrt(1900))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2. Suppose 241 = 5*f + 2*h, 2*f + 0*h - h - 91 = 0. Let j = -45 + f. Let c(p) = -3*p**j + 9 - 5 - 4. Determine r(c(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/30 - (-15)\/(-150)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 326 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -13267.\nAnswer: 17\/13267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2080 + 3*l + 4091 - 2070. Calculate p(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.041, -136, -0.8, 0.1, -2, 0?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 63*o + 60 + 95*o - o.\nAnswer: 144*o + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*s = 296, 2*j - 232 = -2*j + 4*s. Let b = 11 + j. Calculate the remainder when b is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-8 - -4) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (100*4)\/(-1 + 2). Let x = -20 - -70. Suppose f = -5*p + x. Round p to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 61*z**5\/20 + 11*z**2 + 2. Let o(n) = n. Give q(o(l)).\nAnswer: 183*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khh when three letters picked without replacement from jpjhphjhkjjsjpp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -44*r**2 - r + 1. Let i be f(1). Let u = 3 - i. Suppose -3*p + 0*m = 2*m - 55, -3*p - 4*m = -u. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 0*z**2 - 1 + 0 + 3. Let l be k(4). Is 1*(-6)\/(l\/(-159)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -17 + (377 - 352)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.584712um in kilometers?\nAnswer: 0.000000008584712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 1, k: 5, j: 1, a: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l**5\/7 + 2878*l**4\/7 - 86136*l**3\/7 - 10078*l**2\/7 + 86160*l\/7 + 7200\/7 = 0. What is l?\nAnswer: -1, -1\/12, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 619624.587829 - -1.9?\nAnswer: 619626.487829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -210360 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-14) - 3*(-16)\/(-84). Is p at least -4\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.5355ml in litres?\nAnswer: 0.4345355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/120 + 7*c**5\/30 + 5*c**4\/8 + 19*c**3\/6 + 17696*c**2 - c + 2. Let s be (26\/4)\/((-2)\/4). Give i(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-3*f**2 + 5*f**2 - f**2)*(-3*f + 4*f + 0*f) - 42*f**3 - 76*f**3 - 37*f**3.\nAnswer: -153*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 3. Suppose 3*f - 4*w - 9 = 0, -j*f + w + 0*w = 0. Let m = 6 - 5.5. Which is the biggest value? (a) m (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2. Suppose -16163 - 5357 = -16*s. Let h(y) = s - 1345 + 28*y. Determine r(h(b)).\nAnswer: 1568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t - 519. Let h = -41 + 80. What is the remainder when h is divided by y(41)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + 2.86. Suppose 0 = -3*p - 2*p + 20. Let d = -4.6 - -5. Which is the third biggest value? (a) w (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2 + sqrt(288) + -1 + -1*sqrt(288)*-1)*-1*-2)**2 + 5.\nAnswer: -768*sqrt(2) + 4677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23222724, 23222685, 23222646, 23222607, 23222568, 23222529?\nAnswer: 23222490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 8 - 3) + -2 - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from vtvetttvvtvvqqvvvvv?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*f + 486. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 18*x + 50. Let z be n(-3). Sort z, -2, -4, 76.\nAnswer: -4, -2, z, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.5 - 6.3. Let x be (2\/(-48))\/((-2)\/(-4)). Which is the biggest value? (a) -3\/2 (b) x (c) -5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = i + 45. Let k be 10948\/(-126) - (-2 + (-57)\/(-27)). Let t = i + k. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Suppose -6*i + 3*i + 3*n = 36, 3*i = w*n - 33. What are the prime factors of (21\/i)\/(4\/(-60))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 402*u - 35348. Give k(88).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (3 + -3) - 7. Let b(f) = f + 6. Let o be b(i). Put -2, o, 5 in increasing order.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - z + 19 = -5*t, 20*t - 37*z = 16*t + 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1082967705 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 334*i - 180. What is the hundreds digit of x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 - 165. Solve -s - 4 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vey when three letters picked without replacement from {v: 1, x: 1, e: 4, g: 4, y: 6}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:46 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 71, 5, 0 in descending order.\nAnswer: 71, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51631 - -77665. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -281 and -0.08.\nAnswer: 22.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let n = i - -1. Suppose 0 = -o + n*o. Solve 5 = -4*q + 3*s, 0 = -o*q + 3*q + s + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32898.\nAnswer: 2, 3, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160277.762869 - 160278. Let t = c - -0.237. What is t rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/17 - 1602620*w\/17 + 6410512\/17.\nAnswer: -2*(w - 4)*(w + 801314)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 302, 443, 584, 725, 866?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/(-3) - -4)\/((-1)\/12). Solve 20 + f = -12*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(15\/(-5220)). Let z = v - -173. Let l be -2 - (-1 + 1) - 0. Put 3, 6, l, z in decreasing order.\nAnswer: 6, 3, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23444 divided by 2?\nAnswer: -11722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 4. Let n be j(11). Let l(o) = 3*o**2 + 5. Let b be (-6)\/(-6)*-3*(0 + 2). Let m(s) = -s**2 - 2. Let d(u) = b*l(u) + n*m(u). Factor d(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7256823, -7256821, -7256819, -7256817, -7256815, -7256813?\nAnswer: -7256811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 23. Let x(v) = -9*v**2 - 5*v + 3. Let h(u) = -5*u**2 - 2*u + 1. Let n(s) = 11*h(s) - 6*x(s). Calculate the remainder when n(5) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36118, 36119, 36120, 36121, 36122?\n\"Answer: x + 36117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -16. Suppose -k - 4 = -d. Let l = 6 - k. Is -0.1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 75390410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 13*p - 55. What is the remainder when 234 is divided by y(-19)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4450701964?\nAnswer: 2, 1112675491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 9) to base 4\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2520*u**2 - 2520*u**2 - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y\/(y\/(y*((y*y**(-1))\/y)\/y)*y))\/y*y))\/y))**37*(y*y*y**0)**(-12\/17) assuming y is positive.\nAnswer: y**(-653\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + i**2 + 4)*(5 - 6 + 2) + 3*i**2 - 2*i**2 - 4*i**2)*(-4 + 2 + 4)*(-3 + 3 + 2*i) in the form b + k*i + p*i**3 + c*i**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 60*q - 24. Let c be h(30). Let r(j) = j**3 + 24*j**2 - j - 21. What is r(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 298*a**3*v**2 + 9*a**2*v**2 + 2*a**2*v - 3*v**2 wrt a?\nAnswer: 1788*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**27\/(z**(-1))**(-39) assuming z is positive.\nAnswer: z**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 448\/(-128)*(-30)\/7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from qiqpagkpkgaaqiaiapk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 48. Let c be -11 - u - (-1 - 0). Solve 0 = c*h - q, 5*h + 0*h = q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1 (b) 0.039 (c) 2\/7 (d) 0 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from yyeeyyyeyyyyyyyyeyyy?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*((sqrt(847) + -1)*-6 - -6*(sqrt(847) - (sqrt(847) + -1)))**2.\nAnswer: -306360 + 15840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 330631017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 2627 - 92 = 0. Is 55 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.57285 years?\nAnswer: 0.0557285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 11*r + 2. Let m be a(7). Let n = -16 + m. Solve 0 = -n*u + 2*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7 - 12 = 3*k + 3*n, -4*k + 523 = -20*n + 599 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -717232, -1434440, -2151648?\nAnswer: -2868856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = 6*o - 585. Suppose 4*f - 40 = -5*u + 9*f, -4*u = -3*f - 33. Calculate the highest common divisor of u and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**3 - 3*i**2 - 9*i + 17578. What is the units digit of w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -38. Suppose -3*b + 12 + x = 0. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21097142\/32576145 + -2\/310249. Let c = -14\/15 + z. What is the closest to -2 in -0.2, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 49. Let n = p - 7. Let t = 0.5 - 0.53. Which is the biggest value? (a) 0 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5812171 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 8 + 10 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11700 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458167 a multiple of 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + l**2 - l + 2 - 3*l**2. Let d(c) be the second derivative of c**4\/6 + 3*c**2\/2 + 2*c. Let n = -1452 + 1455. Calculate n*f(y) - 2*d(y).\nAnswer: -y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 16*b**2 - 64*b + 250. Is f(-39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + 0*t**2 + t**2)*(-2 + 2*t + 2)*(-1 + 5 - 8)*(-5*t + 3*t + 4*t) in the form j*t**3 + m*t + i*t**2 + v + c*t**4 and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.06 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248101957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - 21689\/(-483)) + (-2)\/(1 - 0)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1730648nm in millimeters?\nAnswer: 0.0000001730648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1182*x - 191. Let u(h) = -1181*h + 143. Calculate -3*i(w) - 4*u(w).\nAnswer: 1178*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18837, 37672, 56507, 75342, 94177, 113012?\n\"Answer: 18835*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 13*y**2 - 3*y - 2. Determine x(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*m - m + 8, -8 = -2*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -18\/11, 1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:35 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.635526ml in litres?\nAnswer: 0.003635526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, b: 5, f: 5}. Give prob of sequence bff.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 71. Suppose -p*n + 1360 = 3*l, -4*n = 2*l - 198 - 708. What are the prime factors of l?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7 - 1. Suppose 5*c = 2*u + 34, -2*c - j*u + 13 = -3*u. Let s(k) = -k + 2. What is s(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 3615 = -25*h. What is the third derivative of h + 8*q**2 + 8*q**4 - 723 wrt q?\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56517, -113071, -169625, -226179, -282733?\nAnswer: -339287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 - 16*q**2 - 19*q**2.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1173, 1170, 1167?\nAnswer: 1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 693673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*o + 5*n, 2*o - 4*n = -4 + 24. Suppose -5*x + 2*x = o. Let 2\/5*z + 4\/5*z**4 - 6\/5*z**3 + 0*z**2 + x = 0. What is z?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57510944763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-10 - -10) - -1 - -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 243880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 16*k = -50. What is the least common multiple of k and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2500 = -21*h - 2311 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -408, -436, -466, -498, -532?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2*k**2 + 7*k - 60. Calculate h(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u*((u**8*u)\/u*u*u)\/u))\/u)**28*(u**(-1\/31)\/u)\/(u\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(-49111\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -11)*(-194)\/(-3). Let d be 1\/((-44)\/(-8)) + s\/(-44). Suppose d*p - 52 = 29. Solve 0 = u, -4*r + p = -5*u - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 - 294*m**2 + 1947*m - 3276 = 0. Calculate m.\nAnswer: 3, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19652 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583338 is divided by 299?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 0, -0.2, -1220, 0.02?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*-663945.\nAnswer: 29877525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.48 + 3.52. Which is the second biggest value? (a) i (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 - 2.5. Let q = -0.4 - s. Suppose 3*z + 8 = z. What is the nearest to -1 in z, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 126944658 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/(-3) + 1\/3. Calculate the remainder when 34 is divided by ((-18)\/7)\/(t\/(-98)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*z - 1688, -2*z - 447 = -3*z + 5*p. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 9. Let d be q(0). Suppose 5*u + d = 4*k, 5*k + u + 1 = 5. Which is smaller: k or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 1:21 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -131\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose z*u - 77 = -3*u. Suppose u*d - 9*d - 6 = 0. Solve 2*c = d*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (22 + -5)) + (-15 - -31) - 113.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 27, 3, -1, 13, -2 in decreasing order.\nAnswer: 27, 13, 3, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 32*u - 120 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, z: 9}. Give prob of picking 2 r.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10593152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -39*f + 38*f + 3147, 5*v - 15731 = -3*f. What are the prime factors of v?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2 - 8*g**4 - 127*g**4 - 6*g**2 - 415*g**4 - g**3 + 27*g**4 - 156 wrt g?\nAnswer: -12552*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 11*v**2\/2 + 494. Let a(y) = 24*y. Give l(a(i)).\nAnswer: 264*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*b - 14 - 91 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 550*o + 76470. Calculate w(-139).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (58\/4)\/(1\/2). What is the common denominator of (-26 - -25)*(-2)\/(12\/(-29)) and 3\/8*q\/2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -22 (b) -2 (c) -0.4 (d) -5 (e) -22.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7089*h - 75. Let w be k(-2). Round w to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 1 - 3, -5*g + 3*s = -8. Let z(i) = -i**2 - 1 - 1 - 4*i - g. Let c be z(-2). Is 1 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18031713 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**3 + 4*q**2 + 4*q - 1. Let w(a) = 6*a**3 + 3*a**2 + 3*a - 2. Let n(m) = 3*k(m) - 4*w(m). Find the first derivative of n(j) wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 1. Suppose -10*d = -d + 702. Let n = 80 + d. Let j(x) = x**2 + 1. Let p(b) = n*j(b) + 3*o(b). Let a(h) = -5. Calculate a(c) - 5*p(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65238858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**2 - 3 + 3 + 4*b**2. Suppose 2*r = -8, -r + 1 + 1 = 2*p. Let u(o) = 4*o**2 - p*o**2 + 13*o**2 - o**2. Give u(c(s)).\nAnswer: 52*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-10643.\nAnswer: -5321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*o - 6548, -29*o + 3288 = -27*o + q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/60 + 5*c**4\/24 - 2*c**3\/3 + 12*c**2. Suppose -3*i - i = 24. Calculate t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 - 21)*(-19*n + 155*n + 124*n).\nAnswer: -2600*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16801346 is divided by 303.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140226 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253555*w**6 + 579565*w**2 wrt w?\nAnswer: -30426600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -173*w**2 + 60*w**2 + 131*w**2 + 7*w + 2 + (0*w - 2*w + 4*w)*(w + 0*w + 0*w).\nAnswer: 20*w**2 + 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(((-12)\/(-2538))\/(6\/(-9))). Let s = 523 - a. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**3\/6 - 5*w. Let h(g) = 73*g**2 + 2*g. What is c(h(l))?\nAnswer: 73*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0*q + 6*q - q**2 + 2 - 3 + 0*q. Determine f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 159*k**6\/10 + k**4\/6 - 133*k**3\/6 + 8*k + 1. Find the second derivative of r(y) wrt y.\nAnswer: 5724*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2. Let n(c) = -3*c**2 + 4. Let l(m) = 6*m**2 - 2. Let r(a) = 1. Let p(z) = -l(z) + 5*r(z). Let t(j) = -7*n(j) + 4*p(j). Give g(t(w)).\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 160 - 41 - 38 - 50 - 48.\nAnswer: -3*u - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.32807758 rounded to one decimal place?\nAnswer: 49.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from tcjfk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1250 by -5.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*q = 153*q - 18360. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 - -14083.24330118.\nAnswer: 13946.24330118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3*s - 2*l**3 + 166*l*s - 4*l - 12 wrt s.\nAnswer: 2*l**3 + 166*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 6?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19d - 90a6?\nAnswer: -8e08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074920171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5091626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94176 times 0.2?\nAnswer: 18835.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81177831*x + 81177830*x + 49 + 5.\nAnswer: -x + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-30) + (-57)\/(-60)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 1, c: 4, d: 3, m: 1}. Give prob of picking 2 c, 1 n, and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2677216 is divided by 1192.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i + 75. Calculate the remainder when 128 is divided by h(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/9 - 60284*g\/3 - 60282 = 0.\nAnswer: -90423, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22309697183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 282260594*z + 328912031 wrt z?\nAnswer: 282260594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 4*u**2 + 4*u - 2. Let v be k(2). Calculate the greatest common factor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 162.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -700, -706, -714, -724, -736, -750?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 302, 0, 4 in increasing order.\nAnswer: -5, -1, 0, 2, 4, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -370808\nAnswer: -1\/92702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-3)\/(-2) + -1. Let x = 25.517 + -33.517. Let r = -0.37 - -0.07. What is the second biggest value in x, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500, -499, -498, -497, -496, -495?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 5220634?\nAnswer: 5220600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 21. Let m be (-1)\/h + (-55)\/(-10). Let k = 6 - m. Let r(g) = g**2 - 4*g - 3. Let t(o) = o**2 - o - 1. Calculate k*r(a) - 2*t(a).\nAnswer: -a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -19*m + 3. Let j be y(0). Let q = -202\/3 + 68. Which is the closest to -1? (a) q (b) j (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 984523055 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/7 + -8 + 9. Which is the closest to f? (a) 0.2 (b) 0.5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434828 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 9. Let g be k(-21). Suppose -86*c + g*c - 20 = 0. Solve -c*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - -1*sqrt(156))\/sqrt(4) + sqrt(39))\/sqrt(108) + 1)**2.\nAnswer: sqrt(13) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.062? (a) -1069 (b) -0.02 (c) -3\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*c = z + 152*c - 6, 19 = -z - 4*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70484, -140967, -211450, -281933?\nAnswer: -352416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1467764101 to five dps.\nAnswer: 0.14678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 45 = -15. Let n = y - 8. Let 0*c**2 + 2\/3*c**n - 1\/3*c**5 + 0*c + 0 - 1\/3*c**3 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.5, -2\/5, -1.37, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 1632 + 1590 = 0. Let r(h) be the third derivative of h**4\/6 + 4*h**3\/3 + 2*h**2. Let w(l) = -l - 3. Give u*r(g) + 8*w(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2288\/312 - 14\/(-4)*-2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdtd when four letters picked without replacement from {l: 1, t: 1, d: 2, v: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1287 (base 12) to base 6\nAnswer: -13451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504 divided by -24?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000111100 (base 2) to base 12.\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -6, -1\/4, 8, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9512, -103, -7, -5 in ascending order.\nAnswer: -103, -7, -5, 5, 9512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 + 460*n**4 + 17479*n**3 - 11858*n**2 = 0. Calculate n.\nAnswer: -77, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - 6.94. Let k = 6.8 + l. Which is smaller: 2\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069945 to 6 decimal places.\nAnswer: 0.000699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1. Let q(g) = g - 9. Let m(z) = -6*k(z) - 2*q(z). Let i = 5 + 7. Let u be m(i). Solve -2*d - 5*j - 2 = u, 0 = d + 2*j - j - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-7))\/((-10)\/(-70)). Suppose 0 = -a*k + 59 + 11. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*m - 7, -5*m + 19 = -1. Solve p + 2 = -3*i - j, -3*p - 1 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -1\/7*l**7 + 0*l**3 + 7*l**2 + 3\/8*l**6 + 0*l**4 + 0*l**5 + 0 + 0*l + 5\/336*l**8. Factor a(g).\nAnswer: 5*g**3*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13300 by 4.\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-16)\/60*35. Let z = f + 6. Let j = z - -39. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 20 = -17*p, p = -2*i - 11. Is (204\/(-2) - -6)*6\/i a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21110202 (base 3) in base 8?\nAnswer: -12507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -716, -715, -714?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 19*g - 48 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**3 - h**2 + 2. Let f(y) = 1. Give 3*f(u) - p(u).\nAnswer: 9*u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-1\/5)*o)*o)\/((o**(-2)*o*o)\/o))**(-43) assuming o is positive.\nAnswer: o**(-688\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1980 and 176.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 184, 415, 738, 1153?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 879351.7cm?\nAnswer: 8793517000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(72)*-1)\/((sqrt(108)\/sqrt(3))\/sqrt(4)) - -6*1*1*sqrt(392))*-1)**2.\nAnswer: 15488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -1 + 4 + sqrt(11)) + (-2 + sqrt(110)\/(2*sqrt(10))*2)**2.\nAnswer: -3*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 4765*o**2 + 2 - 5114*o**2 + 2.\nAnswer: -349*o**2 + 3*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -2*q - l - 3*l, 5*q - 2*l = -1284. Let r = -201 - q. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**2 + 3*q - 3 + 58*q**2 - 79*q**2 + 32*q**2 + 3.\nAnswer: -2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 + 2*c - 1. Let l be i(1). Let k(a) = -a + 3. Let n be k(0). Suppose n*j = j + 6. Solve -l*w - 5*x - 32 = -12, -j*w - 4*x = 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10574607593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 236.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 44 = -3*h, -3*a = 2*h + 2 - 17. Suppose 8100015 = 3*q - a*s + 2*s, 4*q - 2*s - 10800006 = 0. Round q to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0956 to 1 dp.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.080115373 to four decimal places.\nAnswer: -1.0801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111 (base 2) to base 10.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0461894nm?\nAnswer: 0.0000000000000461894","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*d - 46 = 3*b, 4*d = -4. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxsxxxxsssxxxuxssjx.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -1, 5, -100\/579?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 194442 divided by -1\nAnswer: -194442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000221202311 + 32?\nAnswer: -1000221202213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/21296 and -93\/110.\nAnswer: 106480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4050 is divided by 170?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 79. Let n be (2\/9 - 992\/s) + -1. Find the second derivative of 2*k**4 + 106 + 4*k**4 - n*k - 106 wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u + 70*u - 4*r - 1210 = 0, 3*r - 9 = 0. What is u rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/6 - 2*r**2 - 3*r + 1. Let i(m) be the first derivative of h(m). Calculate i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.344 - 9.656. What is the third biggest value in o, -6, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(11))**2 + sqrt(11) + sqrt(704) + -4.\nAnswer: 3*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -21. Suppose 12 = -m*z + 5*z. Solve -z*q + 5 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 597966157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 1 - 5*b**2 - 26*b + 32*b + b**4 - 3*b**3 to n*b**3 + r + v*b**4 + m*b + k*b**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 7*s + 28. Let x be p(-4). Let m be -2 + (0 + 1)*-11. Let y = m + x. Let t(w) = -w**3 + 2*w**2 - 3. Calculate t(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 19*x + 12. What is the third derivative of -73*q**x + 12*q**2 + 51*q**3 + 10*q**2 wrt q?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4257765 + -4257793.60119. Let n = 28.6 + g. Round n to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 29 - 58 + 29 - 8*z. Let q(v) = -5*v - 7*v - 6*v + 15*v. Determine q(s(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1247 or 57032?\nAnswer: 57032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.386 and 0.5.\nAnswer: -0.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:14 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 6*g + 15. Let s be j(-9). What is the lowest common multiple of ((-27)\/12 - s\/(-16)) + 21 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27194.\nAnswer: 2, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -23 + 17 - (-1)\/(1\/3). Let w = v - -8. Solve s = 4*z + 2, -4*z - s - w = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.15. Let f = 15 + -11. What is the nearest to 0.1 in p, 5, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 326*q**2 + 346*q - 3 wrt q.\nAnswer: 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d = 85*d - 48 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from abaseeeskebs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 5*q = -4*q + 199680. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -706, -17, -0.03 in increasing order.\nAnswer: -706, -17, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*j**4 - 215235*j**3 - 502045*j**2 - 358565*j - 71710 = 0. Calculate j.\nAnswer: -14342\/3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/51)*c**(-2\/89))\/(c**6*c**31) assuming c is positive.\nAnswer: c**(-168223\/4539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2712 and 21\/56839.\nAnswer: 1364136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.63 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 19*r**2 + 25*r + 243. Determine a(-10).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-2)\/(-15))\/1. Let y = 13 - 18. What is the closest to k in y, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 271782 and 54?\nAnswer: 271782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4)*s*s**(2\/3)\/s)**(-21\/8))**(24\/11) assuming s is positive.\nAnswer: s**(21\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28.82 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 28*d**3 - 74*d**2 - 240*d + 864.\nAnswer: -2*(d - 9)*(d - 4)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*o + 266, -4*o + 7 - 218 = -3*r. Let b = o - -82. Let i = b + 31. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0*f**2 + 1\/24*f**4 + 7\/80*f**5 + 0 + 3*f + 0*f**3. Suppose x(i) = 0. What is i?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 233, 20, 6, -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162463380491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3189 + -0.0606. Let y = h - -28.8095. Let z = y + -28. Round z to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -901*j**3*l**3*x**2 + 26029*j**3*x**3 + 12*j**2*l**3*x + 5568*j**2*l**2*x**2 - 4*j*l**3*x**2 + 2*j*x**3 + 3*l**3*x**2 wrt j.\nAnswer: -5406*l**3*x**2 + 156174*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1052, -4266, -9624, -17126, -26772, -38562, -52496?\n\"Answer: -1072*u**2 + 2*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-4\/5))**38)**(1\/14))**2 assuming r is positive.\nAnswer: r**(38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7)\/(3 - 3 - (-208)\/(-182)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4198 - 4116. Do z and 81 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 5*a**4\/24 - 6*a**2. Let t be k(1). Let c be (-54)\/(-5) - (-48)\/(-60). Solve -t*v + 5 = -c*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4\/7, -17, 3, -0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -70 + 37 - 8*z**3 - 63 - 2*z + 12*z**3 + 12*z**2 - 38*z = 0. What is z?\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 71*z + 8 - 17 = -68*z, -7*z = 3*a + 37 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 12*h**2 - h + 18. Determine l(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) -900326 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2046\/(-4433)*78\/(-4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by ((-14)\/4 + 4)*34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582200 divided by 675?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t - 5 + 0 + 3. Suppose 0 = 64*w - 134 - 58. What is the tens digit of h(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, 2\/3, 5\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_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 k = 121 + -118. Let x be 12 - 9\/k - 5. Solve l = -x*l + t + 5, 5 = l - t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 + 9*i**2 + 53)*(-1 - 7 + 1)*(4*i + 6 - 6) to d*i + s + j*i**3 + x*i**2 and give j.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i + 4*i**3 - 1815*i**2 + 1815*i**2 - 16*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 16 = u. Suppose -5*j - 3*x = -12, -13 = -6*j + u*j + x. Solve 4*c + 2 - 6 = j*i, -4*i - 14 = -c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -10031?\nAnswer: -10031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**8\/504 - 4*d**7\/315 - 16*d**2. Factor a(y).\nAnswer: 2*y**4*(y - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (51 - 143) + 3\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/7 (b) 150 (c) 10.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190028996 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 13*p**7\/42 + p**3 + 10*p. What is the second derivative of g(o) wrt o?\nAnswer: 260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwaawawwaawwaa. What is prob of sequence waa?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/9 + (-5628)\/(-9). Let d be f\/(1\/3936*3). Round d to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952102 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m - 1. Let o be 20\/(-12)*18\/(-30). Differentiate -15*y**m + o + 3 - 1 + 4 with respect to y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155830.8ml in litres?\nAnswer: 155.8308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 276, 425, 574, 723?\n\"Answer: 149*g + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:30 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13681 + 31315808\/2289. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9282047 meters?\nAnswer: 928.2047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000101001111000001010 (base 2) in base 5?\nAnswer: -3123303421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.8 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-2) + 1 + 317812\/(-46376)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/4*(0 - 3\/(-9)). Solve -6 = -k + 2*h, -5*k + 0*h + u*h = -15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*y + 13. Solve 4*i - 3*m = -0*m + 23, 4*m = -2*i - y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880429.31 minus -0.0593?\nAnswer: 880429.3693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782972 is divided by 11672?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from zzvvvvvvvvzvzvvvvzv.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -9b336?\nAnswer: -9b337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78546 + 166729. Is d 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 0.4, -4, 1, -1907, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -23 (b) 1\/5 (c) -19 (d) -750 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5308 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from nlpnnpnpnnfnpppnn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, g: 7, v: 1}. Give prob of sequence gg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (164\/(-6))\/((-32)\/576). What is the greatest common divisor of c and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29779\/2 or 0.207?\nAnswer: 0.207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 3*u**2 + 5*u**2. Let x(k) = 4*k + 4*k + 0*k - 7*k. Calculate x(r(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1424 or 212130\/149?\nAnswer: 212130\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167808 and 783104.\nAnswer: 2349312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f + f)*(0 - 1 + 0)*(-59 + 59 + 84*f).\nAnswer: 168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2040, 2091, 2142, 2193, 2244?\nAnswer: 2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -567, 4, -853, -25?\nAnswer: -853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.288 - -21.488. Sort -3, -2, -326, n, -1\/7.\nAnswer: -326, -3, -2, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356838.\nAnswer: 2, 3, 59473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {y: 7, t: 5, i: 3, x: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 26. Let l be 3*15\/(-5) + h. Is (-1)\/l + (-3855)\/(-90) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 4, p: 9, z: 2}. Give prob of sequence nn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3146) + -4*(sqrt(3146) - (sqrt(3146) + 1*sqrt(3146))) + 1*sqrt(3146)*-1)\/(sqrt(4050) - -4*3*sqrt(4050)))**2.\nAnswer: 1936\/26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*b - z, -10*b = -11*b + 4*z - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 692771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 1143*m**4\/8 - 83*m**3 + 20*m**2 + 8. What is the first derivative of f(p) wrt p?\nAnswer: 3429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15326575 divided by 55733\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2778915 or -2778914?\nAnswer: -2778915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnynnzynannnntntt. What is prob of sequence zyn?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.24 minus -0.2?\nAnswer: -131.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 5*g**2 + 5\/24*g**4 + 0*g + 0 + 1\/6*g**3. What is o(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8470*x + 58*x**2 - 8470*x + (-4*x + 2*x + x)*(5*x + 2 - 2) - x + 2 + 2*x + 0 - 2*x**2 in the form n*x + i*x**2 + d and give i.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7131 by 1.\nAnswer: 7131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7815728 (base 11) to base 9.\nAnswer: -27717578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-82)\/4*(1 + 21). Let q be (-4)\/22 - p\/484. Let u be ((-5)\/(-2))\/((-3)\/6). Put 0, q, u in decreasing order.\nAnswer: q, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 164 in ascending order.\nAnswer: -5, -1, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435.275 microseconds in milliseconds?\nAnswer: 3.435275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**2 - x - 3. Let q(a) = -23*a**2 - 12*a + 79. Let c(g) = -4*g**2 - 2*g + 12. Let j(t) = -13*c(t) + 2*q(t). What is -3*j(y) - 2*r(y)?\nAnswer: -6*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6001)\/(3*-1*(420\/(-36) + 12))?\nAnswer: 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007508952086 rounded to 7 decimal places?\nAnswer: 0.007509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*u, 9 = 2*t + 115*u - 114*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18674790*g**2 - 21352638*g wrt g?\nAnswer: 37349580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 2*a**2 + 4. Let t be s(0). Suppose 0*h + h = -2*r + 54, -2*r = -t*h + 226. Is 34 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 + -1c7a1?\nAnswer: -1c7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20360039.\nAnswer: 7, 19, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(175) - (sqrt(175) + 1))) + 1*sqrt(7)*1.\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/16)\/((-6)\/(-48) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -4, -888\/7?\nAnswer: -888\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.1 (c) 89 (d) 0.0245 (e) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1166\/(-1272) - (-15)\/12)*(0 - -2). What is a in 0*a**2 + 0 + z*a - 2\/3*a**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 3:33 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t**2 + 6*t + 6. Let x be v(5). Let z = x - -451. What is z rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Suppose 6*h = 5*q + 5*h + 475, 3*q = h - 285. Let u = q - -109. Solve -a*s + 3 - u = 5*d, 4*d - 2*s - 12 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1883374 + 127?\nAnswer: 1883512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*p = 2*p - 120, 5*r - 286 = -3*p. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.02873?\nAnswer: -0.014365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10668 divided by -12?\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196285*z + 8878 = 196478*z for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6007 + -9446. Let c = -2210 - s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -25. Let v be (-5)\/20*(-5042)\/j*-10. Let c = v + -2092. Find the common denominator of c and 19\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 - 22 = -3*v. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8172999 to the nearest integer?\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.959159l to millilitres.\nAnswer: 959.159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 r, and 1 o when four letters picked without replacement from qroqrqoqqqqq?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, 5, 1\/4 in ascending order.\nAnswer: -0.2, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 - -306. Suppose -4*z = b - c*b + 10, 0 = 3*b - 5*z - 16. Solve -1 + 5*l - 7\/2*l**3 - 17\/4*l**b = 0 for l.\nAnswer: -2, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*z + 35590 = 55*z + 8410 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.653 - 36306604\nAnswer: -36306604.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100000101001 + -111?\nAnswer: -1001100000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnnnnn. What is prob of sequence nxn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p + 230. Let c be t(0). Suppose -f - 64 = -c. Calculate the remainder when f is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 155 - ((84 + 34 - 39) + -101)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4.68, 3\/575, 1\/2, 0.3, 4 in increasing order.\nAnswer: 3\/575, 0.3, 0.4, 1\/2, 4, 4.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43052 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/103? (a) 0 (b) 0.5 (c) -1\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 413 or -1098?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.69 micrometers in millimeters?\nAnswer: 0.28469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 46234350 = -20413650. What is x rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 5124936?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 12*z - 7. Let u be m(-11). What is the lowest common multiple of (-3)\/((12\/(-9))\/u) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 + 65086*b**2\/9 - 529555966*b\/9 + 529490882\/9.\nAnswer: -2*(b - 16271)**2*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*y**2 - 4*h**2 + 3*h*y**2 - 33992*y**2 + 201696*y wrt y.\nAnswer: -2*h**2 + 6*h - 67984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/40, 2\/15, -18, 0.5 in decreasing order.\nAnswer: 0.5, 19\/40, 2\/15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5647, 11293, 16939, 22585, 28231?\n\"Answer: 5646*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/679413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 11 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719992082?\nAnswer: 2, 359996041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/192*-4)\/(18\/(-24))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((-24 - (-19 + -8)) + 8 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.13 + -41.63. Which is the second smallest value? (a) h (b) -3 (c) -0.2 (d) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*s - 386852, 4*s - 483488 = -5*o + 3*s. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-420)\/(-72))\/(9\/(-6) + -4).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074055 is divided by 518513.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.02 + -67.62. Let n = l + 66. What is n rounded to 2 dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d)**(-23))**18*(d**1*d)**9\/(d**(-2\/15)\/d*d**(-2\/13)) assuming d is positive.\nAnswer: d**(-76969\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -474 + 476. What is the smallest value in 0.5, t, 53?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 r when four letters picked without replacement from uuiriiiiiiiriiriiui?\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2*w**5\/5 + 10*w**3\/3 - 607*w**2\/2 + 8*w + 2. Differentiate c(z) wrt z.\nAnswer: -24*z**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 809503, 3238030, 7285581, 12952156, 20237755, 29142378?\n\"Answer: 809512*o**2 - 9*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1545)\/6180)\/(-1*(-1)\/36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-18)\/12)*4\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.9222 and -670.\nAnswer: -22057.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by -2 + 0 + (4 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -5 (b) -2 (c) -4756\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 32. Let d be 9\/6*(-12)\/x. Let m(f) = -f**3 - 4*f**2 + 6*f. Let j be m(-5). Put j, 3, d in increasing order.\nAnswer: j, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -117.525. Let p = k + 0.52499001. What is p rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/112 and 59\/252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c (base 15) to base 11.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2722507 (base 8) to base 7.\nAnswer: 6326044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**5 - 17476*c**3 + 45175*c**2 - 2*c wrt c?\nAnswer: 240*c**2 - 104856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 10*t**2 - 8*t + 37. Let d be h(-11). Suppose -d*z = -2*n + 616, -n = -4*z - 337 + 21. What is the highest common divisor of n and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 - 14*i**3 - 10944*i**2 + 481280*i - 5832704 = 0.\nAnswer: -89, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9794400 and 2226?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2409\/4 or 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1001101111011011001?\nAnswer: 1001101111011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Suppose -77 = -3*o - 4*v, -16 = 3*v - k. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*u = -842*u + 48*u + 31836 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33 - 0.13. Let c = 53\/114 + -12\/19. What is the third biggest value in 0.1, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6*z - 2*y - 3 = 0, -12 = -4*z + 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 481.987 - 483. What is o rounded to 2 decimal places?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 954344*k - 38176960.\nAnswer: 2*(k - 477212)*(k + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 2970 in increasing order.\nAnswer: -1, 5, 2970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 6832\/(-561) + 10\/85.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -44) + 71 + -73. Solve 41*g + 4 = o*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84.1 and 3.\nAnswer: -252.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60382 and 266.\nAnswer: 60382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16764 - -57828. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 116044499, 8 in ascending order.\nAnswer: -2, 8, 116044499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142877303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 64*o - 986. Let t be f(-30). Let p(w) be the second derivative of t*w + 0 - 31\/6*w**3 + 0*w**2. Let x(j) = -2*j. Determine p(x(g)).\nAnswer: 62*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 2. Let c(g) be the third derivative of g**5\/4 - 5*g**4\/6 - 40*g**3\/3 + 11*g**2. Let i(p) = c(p) + 10*o(p). Factor i(f).\nAnswer: 5*(f - 6)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -430949 + 430947. Let l = -1623 + 11089\/7. Let h = l + 38. Sort 1\/5, -3\/4, h, u in ascending order.\nAnswer: u, h, -3\/4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 42*k**2 + 4*k - 3. Calculate the remainder when w(3) is divided by 6\/(-4)*(208\/3)\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.5 from -234.\nAnswer: -229.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0, -101, -2\/3, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 + 57*i**4 + 264*i**3 + 276*i**2 = 0 for i.\nAnswer: -2, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o - 8. Let r = -95 + 100. Suppose -t - r*d + 10 = 0, 4*t + 0 = -2*d + 4. Calculate x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27524.88 rounded to the nearest 100?\nAnswer: 27500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68950 and 15575?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*262.\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.13, 1, 5, -2\/87, -3\/4 in descending order.\nAnswer: 5, 1, -2\/87, -3\/4, -1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1856?\nAnswer: -1856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 27*i**2 - 8*i + 30208. Is h(0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26835 + -26839. Sort c, -1, -40, -11 in increasing order.\nAnswer: -40, -11, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by 26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 + 5*r**2 - 2*r + 1. Let w(q) = 9*q**3 + 10*q**2 - 4*q + 2. Let g(h) = -13*u(h) + 6*w(h). Let v = 4 - 1. Determine g(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1239145, -1239124, -1239083, -1239016, -1238917, -1238780, -1238599, -1238368?\n\"Answer: k**3 + 4*k**2 + 2*k - 1239152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13062638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12727, 12731, 12737, 12745?\n\"Answer: z**2 + z + 12725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 12 + 8. Suppose -6 + 12 = 2*t. Solve -4 = -2*y + 5*n, 3*y + r*n - 3 = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q + 5. Suppose 0 = d + 3*z - 16, 99*d - 101*d = 4*z - 24. Determine k(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -34. Let w = u + 24. Suppose q - w = -0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 + 196. Let l(x) = 14*x**2 + 16*x - 10. Let p(r) = r**2 + r - 1. Let z be (-1)\/2 + -1 + 4\/8. Calculate c*p(a) + z*l(a).\nAnswer: -2*a**2 - 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 63, 94, 105, 78, -5, -162, -411?\n\"Answer: -3*t**3 + 17*t**2 + 3*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4748*n = 4742*n + 18708. List the prime factors of n.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18813853271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 696396585 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvbbbtvxbxkx. What is prob of picking 1 t and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4588? (a) -1\/18 (b) -3\/4 (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*h - 6729 + 189 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/18 and -31\/1424.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 68277.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50218 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3 and -61\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) - -2*sqrt(441))*2)\/((sqrt(189)\/sqrt(3))\/sqrt(9)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-2)*(-252)\/11340. Let i = 887\/2037 + -2\/291. What is the closest to 1 in v, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470210224?\nAnswer: 2, 7, 79, 89, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 11, h: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 3. Let o be s(-8). Let x = o + 6. Let y(r) = -2*r - 3*r + 7*r + 2*r**2 + 4*r**3. Let w(m) = -m**3 - m**2 - m. Give x*y(u) + 2*w(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12732076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwp when three letters picked without replacement from ppwwpppwpw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 4*g + 13. What is n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**5*c*c)*(c*((c\/(c\/(c\/(c**(-9)\/c))))\/c*c)\/c*c)\/c)\/(c\/c**(-1)*c**(-3\/7)*c) assuming c is positive.\nAnswer: c**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575036.\nAnswer: 2, 7, 11, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -53*h + 64*h**3 + 32 + 48*h**2 - 18*h**5 - 17*h**4 - 43*h - 9*h**4 - 4*h**4 = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96749.\nAnswer: 96749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 138*k - 122. Suppose 9*p + 35 = -10. Let g(j) = 3*j**2 - 483*j + 426. Let x(r) = p*g(r) - 18*l(r). Solve x(s) = 0 for s.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/341 and 19\/93.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 21, 8, -23, -78, -163, -284?\n\"Answer: -q**3 + 6*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 1.403303.\nAnswer: 1.503303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728 - 174 - 173 - 175 - 195 + 208*m to a + d*m and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111111 (base 2) in base 6?\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z - 499 = 21. Let t be (z\/(-3) + -6)*(9 + -3). Solve 4*f = -5 - 11, t*q = 5*f + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101304*r - 98976*r + 8*r**2 - 7*r**2)*(0 + 0 + r).\nAnswer: r**3 + 2328*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1258 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(-9 - (-67 - -88))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 10. Let y be o(4). Find the third derivative of -46*x - y*x**3 - 12*x**3 - 38*x**2 + 36*x**2 wrt x.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 - -2) + 0 - (0 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34808 and 3648?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 268\/402*-15*(-1)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t + 6. Let i(x) = -2*x**3 - x**2 - 2*x - 7. Let k(l) = -3*h(l) - 2*i(l). Suppose -g + 13 = -4*n, -4*n = -0*g + 4*g + 8. What is k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 2, h: 1, j: 2, g: 1}. Give prob of sequence wwh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/14)\/i**(1\/7))\/(((i*i*i\/i**(-1))\/i*i)\/i)**13)\/((i**(-3)\/i*i*i*i**(-3\/2))\/(i*i**(-2\/21)*i*((i*i**0\/i*i*i*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-34)\/(-2 - -1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 418, 834, 1246, 1654?\n\"Answer: -2*m**2 + 422*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from qviipwipqqiqpiiqq?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:04 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 2. Let l = -2189 - -2189.02. Which is the biggest value? (a) q (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11860293.\nAnswer: 3, 257, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -305*s**6\/3 + 206*s**3\/3 + s**2\/2 + 404*s + 3. What is the second derivative of d(r) wrt r?\nAnswer: -36600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(125) - (sqrt(125) + 0)) + -4) + 2)**2 - (4 + sqrt(30)\/(sqrt(1050)\/sqrt(7))*3).\nAnswer: -3*sqrt(5)\/5 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1*f**10*f*(f*f**(1\/4))\/f*((f\/((((f\/f**(-4\/9))\/f)\/f)\/f))\/f)\/f*f assuming f is positive.\nAnswer: f**(497\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222906807.\nAnswer: 3, 24767423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 29 - (-966 + 1022).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 214*l**2 + 17*l - 15*l.\nAnswer: 208*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 7:36 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*i**2*p**2*q**3 + 2*i**2*p**2*q**2 + i**2*q**3 - 19*i**2 - i*p**2*q - 2*i*p**2 wrt q?\nAnswer: -210*i**2*p**2 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r - 190*r - 214*r + 89*r as t*r + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8623907 - -4807107. Round o to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2035 = g. Let c be (-3)\/504*g - 2. Let w = c - -1\/168. Put 0.3, w, 4 in descending order.\nAnswer: 4, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 - -1 - (-76 - (6 - 147))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 - 15 = 0. What is the units digit of 876\/28 + t\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23)\/((g*g**(-2\/73)\/g)\/g*g))\/((g*g*g*g\/(g**26\/g)*g)\/g**(27\/4)) assuming g is positive.\nAnswer: g**(1103\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (2 + ((-120)\/(-27))\/(-2)). Determine d so that -4\/9*d - c*d**4 + 0*d**2 + 4\/9*d**3 + 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + (sqrt(2448) + 0 + -4 + sqrt(2448) - (((sqrt(2448) - -2*sqrt(2448)) + sqrt(2448))*2 - sqrt(2448))) + -5 + -4 + 4)**2.\nAnswer: 840*sqrt(17) + 61249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z = 38*z - 3*y - 6, -4*z = -4*y - 8. Solve 7*n - 2*n - 15 = z, -4*l + 2*n = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839624181 to the power of 1\/2, to the nearest integer?\nAnswer: 42891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckkc when four letters picked without replacement from kcckccckcc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1864 or -4519?\nAnswer: -1864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 10. Let s = 169 + -243. Let k = -71 - s. Solve -v*b + 3 + k = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200301033 (base 4) to base 7.\nAnswer: -1066215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v - 149. Determine o(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*(l*l**7*l)\/l)\/(l**(-1\/9)*l**(3\/5)) assuming l is positive.\nAnswer: l**(338\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (314848*f**2 + 3*f - 5 - 312965*f**2 - 5*f)*(f**2 - 3*f**2 + 5*f**2).\nAnswer: 5649*f**4 - 6*f**3 - 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 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: Let u(j) = -j**2 - 12*j + 15. Let n(r) = -r**3 + 6*r**2 - r + 8. Let o be n(6). Suppose -o*y = -x + 20, x + 3 = -1. Is 15 a factor of u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 302166*q - 1363. Is w(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*p = 133*p. Solve p = -d - 3*d - 3*t + 27, 2*d + 5*t - 31 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473300 rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 + 6*t**2 - 5*t. Let j be 10\/(-4)*(1\/(-14) + 117\/70). Let o(i) = -3*i**3 - 5*i**2 + 6*i. Calculate j*w(u) - 5*o(u).\nAnswer: -u**3 + u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 8 = 4*r. Suppose 2*b + 90 = 3*h, 0*h = -2*b + 2*h - 86. Is r\/(-1 - 45\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:27 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + i = -105, -290 = t + 4*t - 3*i. Let u be t*29 + 0 - -3. Is (-12)\/(-20) - u\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-148223.\nAnswer: 592892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4103*t + 217*t**4 - 4103*t + (5*t**4 - 2*t**4 - t**4)*(-3 + 6 - 1) in the form f*t**2 + v + h*t**4 + i*t + r*t**3 and give h.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -431626 by -3.\nAnswer: 431626\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 12, 0, 3 in increasing order.\nAnswer: -5, -4, 0, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46b - 64?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53893, 53887, 53881, 53875, 53869, 53863?\n\"Answer: -6*b + 53899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*i + i - 4890. Let c be i - (-2)\/(-2) - (-4)\/(-4). Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2\/11 (c) 5 (d) -0.4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -c?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7 = -14. Let u(m) be the first derivative of 9*m**2\/2 + 3*m - 3. Let s(v) = 5*v + 2. Determine y*s(g) - 4*u(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2382532 is divided by 1191206.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*z + 21 = -2*m, 5*z + 19 = -3*m. Suppose 0 = c + 1 + m. Let v be c - (-260)\/28 - 2\/7. Solve -6 = 2*k - v*r + 3*r, -15 = -k - 3*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - g**2 + 5*g**2)*(-2*g + g + 3*g)*(0*g - 15*g - 9*g).\nAnswer: -96*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:41 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -31*o + 33*o. Solve 3*r - 16 = o*r - 5*z, 4*r = 2*z - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*i - 81 - 94 - 97*i - 91 + 350 - 86.\nAnswer: -228*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603483611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/120 + j**3\/6 + 2*j**2. Let g(p) = 8*p**3 + 2*p**2 + p - 7. Let d(q) = -2*g(q) - 14*z(q). Factor d(h).\nAnswer: -2*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 6 = -2*y - 0*x, 10 = 5*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 13 = 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, 4\/81205, 3 in descending order.\nAnswer: 3, 4\/81205, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - 2*c**2 + 4*c - 7. Let p be f(2). Let o be 12 + -2 + 2 - 1. Let u = o - -9. Solve -j + u = 3*l, -4*l - l = -p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-1 - -2))*(-9)\/(-3699). Let u = -291\/2329 + w. What is the smallest value in -0.3, -1\/5, 0.06, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1380 and 16528.\nAnswer: 5702160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186253694*d*h - 5279587*d with respect to h.\nAnswer: -186253694*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40058813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -29 + 121 - (-3 - 1). Let r = 95 - w. Which is the fourth biggest value? (a) -0.4 (b) r (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02449184 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(180) + sqrt(180) + -4 + (3 + sqrt(180))**2 + -4.\nAnswer: 48*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -40.7 * -418337\nAnswer: 17026315.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*l + 549*l - 1641 = 76*l + 12343 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 39*k**2 + 3*k + 7. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l + 6*l + 6*l - 3*l - 5*l**2.\nAnswer: -5*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811660 smaller than 1811659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q*q**(3\/5)*q)\/((q**(-3)*q)\/q)*q*q**0*q*(q*q**(-4\/7))\/q*q assuming q is positive.\nAnswer: q**(386\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66702 + 6655?\nAnswer: 75557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(400)\/sqrt(5) + 1.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 515422115255.\nAnswer: 515422115240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 255*s - 288*s + 561 + 33 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 2. Let z be b(0). Suppose 16 = -4*p - 0. Put 1\/10, z, p in ascending order.\nAnswer: p, z, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 4*v + 2*v + 6*v. Let w(u) = 0 - u + 0. Calculate w(y(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3)\/q*q)\/q)\/((q*q**(3\/10))\/q)*(q\/(q\/(q\/(q\/((q*q\/q**(-14))\/q))))*q)\/(q*q\/q**(1\/7)*q))**(2\/55) assuming q is positive.\nAnswer: q**(619\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + -3.1. Let q be (-2085)\/278 - 30\/(-4). What is the nearest to -0.2 in -6, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4561, -4630, -4657, -4642, -4585?\nAnswer: -4486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5814, 5819, 5836, 5871, 5930, 6019?\n\"Answer: d**3 - 2*d + 5815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/6 - v**2 + 5*v + 7. Let g(o) be the first derivative of q(o). Let c be 4 + 9\/(-2) + (-150)\/60. Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 10*k - 38 = 3*f + 6*k, -11*f = -9*f - 2*k + 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17410*f - 8892*f + 5265 = 9103*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17 + 728\/(-42))\/((-2)\/108). What is the greatest common factor of 2385 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 10, 57, 2 in descending order.\nAnswer: 57, 10, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326080?\nAnswer: 2, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*v**2 - 3*v**2 - 13120 - 185*v**6 + 3*v**2 - 4*v**2 + 13365 - 8*v**3 wrt v?\nAnswer: -22200*v**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**2*x**(-7))\/(x*x\/x**(1\/3))**25*((x\/(x**(-1\/3)\/x))\/(x*x**5))\/(x\/(x*x\/(x*x**(-2\/9))))**(-1\/4) assuming x is positive.\nAnswer: x**(-871\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 360012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*y - 13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 1\/4*d**4 + 26*d - 7\/2*d**3 + 7\/4*d**2 = 0.\nAnswer: -14, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + sqrt(17) + -2 - sqrt(85)\/(sqrt(5) - sqrt(80)))**2 + 1.\nAnswer: -56*sqrt(17)\/3 + 758\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.435 - 2.177\nAnswer: -4.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 287890549 to the power of 1\/2, to the nearest integer?\nAnswer: 16967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 134.86?\nAnswer: -3371.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448877337?\nAnswer: 3, 19, 283, 27827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from ffssfstfstffftttfft.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*h - 40 = 0, -2*d + 4*h - 8 = 2*d. Let o be (2\/d)\/((-2)\/(-9)). Find the third derivative of o*r**6 - 2*r**6 - 3*r**2 + 2*r**2 wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/(-36)*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}